Tootfinder

Conformal Rigidity and Spectral Embeddings of Graphs
Jo\~ao Gouveia, Stefan Steinerberger, Rekha R. Thomas
https://arxiv.org/abs/2506.20541 https://…

Conformal Rigidity and Spectral Embeddings of Graphs
We investigate the structure of conformally rigid graphs. Graphs are conformally rigid if introducing edge weights cannot increase (decrease) the second (last) eigenvalue of the Graph Laplacian. Edge-transitive graphs and distance-regular graphs are known to be conformally rigid. We establish new results using the connection between conformal rigidity and edge-isometric spectral embeddings of the graph. All $1$-walk regular graphs are conformally rigid, a consequence of a stronger property of t…

Pull-off strength of mushroom-shaped fibrils adhered to rigid substrates
C. Beteg\'on, C. Rodr\'iguez, E. Mart\'inez-Pa\~neda, R. M. McMeeking
https://arxiv.org/abs/2506.20745

Pull-off strength of mushroom-shaped fibrils adhered to rigid substrates
The exceptional adhesion properties of biological fibrillar structures -- such as those found in geckos -- have inspired the development of synthetic adhesive surfaces. Among these, mushroom-shaped fibrils have demonstrated superior pull-off strength compared to other geometries. In this study, we employ a computational approach based on a Dugdale cohesive zone model to analyze the detachment behavior of these fibrils when adhered to a rigid substrate. The results provide complete pull-off curv…

A Microlocal Theory for Zariski-Constructible Sheaves on Rigid Analytic Varieties
Tong Zhou
https://arxiv.org/abs/2507.18604 https://arxiv.org/pdf/2507.186…

A Microlocal Theory for Zariski-Constructible Sheaves on Rigid Analytic Varieties
We develop a microlocal theory, in the sense of Kashiwara-Schapira, for Zariski-constructible sheaves on rigid analytic varieties. We define and study monodromic sheaves, the monodromic Fourier transform, specialisation, microlocalisation, micro-hom, and singular support in this context. Some questions and conjectures are formulated in the end. The appendix contains infinity-categorical characterisations of monodromic sheaves.

MMSearch-R1: Incentivizing LMMs to Search
Jinming Wu, Zihao Deng, Wei Li, Yiding Liu, Bo You, Bo Li, Zejun Ma, Ziwei Liu
https://arxiv.org/abs/2506.20670 h…

MMSearch-R1: Incentivizing LMMs to Search
Robust deployment of large multimodal models (LMMs) in real-world scenarios requires access to external knowledge sources, given the complexity and dynamic nature of real-world information. Existing approaches such as retrieval-augmented generation (RAG) and prompt engineered search agents rely on rigid pipelines, often leading to inefficient or excessive search behaviors. We present MMSearch-R1, the first end-to-end reinforcement learning framework that enables LMMs to perform on-demand, multi…

GIIFT: Graph-guided Inductive Image-free Multimodal Machine Translation
Jiafeng Xiong, Yuting Zhao
https://arxiv.org/abs/2507.18562 https://arxiv.org/pdf/2…

GIIFT: Graph-guided Inductive Image-free Multimodal Machine Translation
Multimodal Machine Translation (MMT) has demonstrated the significant help of visual information in machine translation. However, existing MMT methods face challenges in leveraging the modality gap by enforcing rigid visual-linguistic alignment whilst being confined to inference within their trained multimodal domains. In this work, we construct novel multimodal scene graphs to preserve and integrate modality-specific information and introduce GIIFT, a two-stage Graph-guided Inductive Image-Fre…

Homogenization of magnetoelastic materials with rigid magnetic inclusions at small strains
Raffaele Grande, Stefan Kr\"omer, Martin Kru\v{z}\'ik, Giuseppe Tomassetti
https://arxiv.org/abs/2506.18585

Homogenization of magnetoelastic materials with rigid magnetic inclusions at small strains
We investigate a homogenization problem for a linearly elastic magnetic material that incorporates elastically rigid magnetic inclusions firmly bonded to the matrix. By considering a periodic arrangement of this material, we identify an effective magnetoelastic energy, obtained by homogenization when the period approaches zero. For comparison, we also briefly discuss alternative, essentially equivalent magnetic models naturally linked by a Legendre-Fenchel transform of magnetic energy density w…

RepuNet: A Reputation System for Mitigating Malicious Clients in DFL
Isaac Marroqui Penalva, Enrique Tom\'as Mart\'inez Beltr\'an, Manuel Gil P\'erez, Alberto Huertas Celdr\'an
https://arxiv.org/abs/2506.19892

RepuNet: A Reputation System for Mitigating Malicious Clients in DFL
Decentralized Federated Learning (DFL) enables nodes to collaboratively train models without a central server, introducing new vulnerabilities since each node independently selects peers for model aggregation. Malicious nodes may exploit this autonomy by sending corrupted models (model poisoning), delaying model submissions (delay attack), or flooding the network with excessive messages, negatively affecting system performance. Existing solutions often depend on rigid configurations or addition…

Design, fabrication and control of a cable-driven parallel robot
Dhruv Sorathiya, Sarthak Sahoo, Vivek Natarajan
https://arxiv.org/abs/2506.18526 https://

Design, fabrication and control of a cable-driven parallel robot
In cable driven parallel robots (CDPRs), the payload is suspended using a network of cables whose length can be controlled to maneuver the payload within the workspace. Compared to rigid link robots, CDPRs provide better maneuverability due to the flexibility of the cables and consume lesser power due to the high strength-to-weight ratio of the cables. However, amongst other things, the flexibility of the cables and the fact that they can only pull (and not push) render the dynamics of CDPRs co…

Partially rigid motions in the planar three-body problem
Richard Moeckel
https://arxiv.org/abs/2506.13570 https://arxiv.org/pdf/2506.…

Partially rigid motions in the planar three-body problem
A solution of the n-body problem in R^d is a relative equilibrium if all of the mutual distance between the bodies are constant. In other words, the bodies undergo a rigid motion. Here we investigate the possibility of partially rigid motions, where some but not all of the distances are constant. For the planar three-body problem with equal masses, we show that partially rigid motions are impossible -- if even one of the three mutual distances is constant, the motion must be a relative equilibr…

A systematic characterisation of canopy density based on turbulent-structure penetration
Zishen Chen, Ricardo Garc\'ia-Mayoral
https://arxiv.org/abs/2506.19223

A systematic characterisation of canopy density based on turbulent-structure penetration
Turbulent flows over canopies of rigid elements with different geometries and Reynolds numbers (Re) are investigated to identify and characterise different canopy density regimes. In the sparse regime, turbulence penetrates relatively unhindered within the canopy, whereas in the dense regime, the penetration is limited. A common measure of canopy density is the ratio of frontal to bed area, the frontal density $λ_f$. This is effective for canopies with no preferential orientation, but we obser…

Invertible exterior powers
Kevin Coulembier
https://arxiv.org/abs/2507.14803 https://arxiv.org/pdf/2507.14803

Invertible exterior powers
We show that in a symmetric monoidal category over a field of characteristic zero, objects with an invertible exterior power are rigid. As an application we prove some conjectures on dimensions in symmetric monoidal categories recently stated by Baez, Moeller and Trimble.

Replaced article(s) found for hep-ph. https://arxiv.org/list/hep-ph/new
[3/3]:
- A three-family supersymmetric Pati-Salam model from rigid intersecting D6-branes
Adeel Mansha, Mudassar Sabir, Tianjun Li, Luyang Wang

Several complex structures on the Oeljeklaus-Toma manifolds
Shuho Kanda
https://arxiv.org/abs/2506.17727 https://arxiv.org/pdf/2506.1…

Several complex structures on the Oeljeklaus-Toma manifolds
We investigate complex structures on the Oeljeklaus-Toma manifolds. The Oeljeklaus-Toma manifolds are defined using complex embeddings of number fields. By replacing these embeddings with their conjugates, one obtains other manifolds that share the same underlying differential structure. In this paper, we give an algebraic description of when such manifolds are biholomorphic. As a simple application, we obtain compact non-Kähler manifolds of dimension $2t+1$ that admit $2^t$ different rigid co…

On the Practicability of Ceramic-Tiled Walls for Sound Absorption by Tuning Cavities
Ozgur T. Tugut, Brahim Lemkalli, Qingxiang Ji, Mahmoud Addouche, Benjamin Vial, S\'ebastien Guenneau, Richard Craster, Claudio Bizzaglia, Bogdan Ungureanu, Muamer Kadic
https://arxiv.org/abs/2506.17699…

On the Practicability of Ceramic-Tiled Walls for Sound Absorption by Tuning Cavities
We present the practicality of structuring ceramic tiles for enhancing sound absorption on rigid walls. The cornerstone of our methodology is to structure walls with cavities so that walls effectively behave as heterogeneous absorbing surfaces over a large frequency bandwidth. Using this approach, ceramic tiled walls are developed by integrating tuned cavity structures based on Helmholtz resonators. Such a design leverages the empty joints between tiles to form resonator necks, while the space …

TalkLess: Blending Extractive and Abstractive Speech Summarization for Editing Speech to Preserve Content and Style
Karim Benharrak, Puyuan Peng, Amy Pavel
https://arxiv.org/abs/2507.15202

TalkLess: Blending Extractive and Abstractive Speech Summarization for Editing Speech to Preserve Content and Style
Millions of people listen to podcasts, audio stories, and lectures, but editing speech remains tedious and time-consuming. Creators remove unnecessary words, cut tangential discussions, and even re-record speech to make recordings concise and engaging. Prior work automatically summarized speech by removing full sentences (extraction), but rigid extraction limits expressivity. AI tools can summarize then re-synthesize speech (abstraction), but abstraction strips the speaker's style. We present T…

SPAR: Scholar Paper Retrieval with LLM-based Agents for Enhanced Academic Search
Xiaofeng Shi, Yuduo Li, Qian Kou, Longbin Yu, Jinxin Xie, Hua Zhou
https://arxiv.org/abs/2507.15245

SPAR: Scholar Paper Retrieval with LLM-based Agents for Enhanced Academic Search
Recent advances in large language models (LLMs) have opened new opportunities for academic literature retrieval. However, existing systems often rely on rigid pipelines and exhibit limited reasoning capabilities. We introduce SPAR, a multi-agent framework that incorporates RefChain-based query decomposition and query evolution to enable more flexible and effective search. To facilitate systematic evaluation, we also construct SPARBench, a challenging benchmark with expert-annotated relevance la…

A Minkowski-type theorem on distances to cusps: the class number one case
Mathieu Dutour
https://arxiv.org/abs/2507.14617 https://arx…

A Minkowski-type theorem on distances to cusps: the class number one case
In the study of Euclidean lattices, the product of the successive minima is bounded from above and below by explicit quantities. This result is known as Minkowski's second theorem, and can be refined to include Hermite's constant in the upper bound, which measures how short a non-zero vector can be in a given lattice. A version of this result exists in the context of number fields, where lattices are replaced with rigid adelic spaces, and successive minima with the Roy--Thunder minima. In this …

Sensor network localization has a benign landscape after low-dimensional relaxation
Christopher Criscitiello, Andrew D. McRae, Quentin Rebjock, Nicolas Boumal
https://arxiv.org/abs/2507.15662

Sensor network localization has a benign landscape after low-dimensional relaxation
We consider the sensor network localization problem, also known as multidimensional scaling or Euclidean distance matrix completion. Given a ground truth configuration of $n$ points in $\mathbb{R}^\ell$, we observe a subset of the pairwise distances and aim to recover the underlying configuration (up to rigid transformations). We show with a simple counterexample that the associated optimization problem is nonconvex and may admit spurious local minimizers, even when all distances are known. Yet…

Profinite rigidity of crystallographic groups arising from Lie theory
Davide Carolillo, Gianluca Paolini
https://arxiv.org/abs/2506.15494 https://

Profinite rigidity of crystallographic groups arising from Lie theory
We prove that every finite direct product of crystallographic groups arising from an irreducible root system (in the sense of Lie theory) is profinitely rigid (equiv. first-order rigid). This is a generalization of recent proofs of profinite rigidity of affine Coxeter groups [1, 7, 22]. Our proof uses model theory.

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#filmphotography

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Localising invariants in derived bornological geometry
Jack Kelly, Devarshi Mukherjee
https://arxiv.org/abs/2505.15750 https://arxiv.…

Localising invariants in derived bornological geometry
We study several categories of analytic stacks relative to the category of bornological modules over a Banach ring. When the underlying Banach ring is a nonarchimedean valued field, this category contains derived rigid analytic spaces as a full subcategory. When the underlying field is the complex numbers, it contains the category of derived complex analytic spaces. In the second part of the paper, we consider localising invariants of rigid categories associated to bornological algebras. The ma…

A neighbor invites me out for drinks once a month. Two hours, two beers. Every time. It’s VERY rigid.
Nonetheless, the conversation flows. Despite some differences, I think maybe we are friends. Or developing as friends… in that stilted way that adult men do.
As I’m getting out of the car, he says “see you next month” and I now feel like a networked commodity, primed for whenever he might need me for something.
In my head, I hear myself think, “just leave the money on the n…

ReLCP: Scalable Complementarity-Based Collision Resolution for Smooth Rigid Bodies
Bryce Palmer, Hasan Metin Aktulga, Tong Gao
https://arxiv.org/abs/2506.14097

ReLCP: Scalable Complementarity-Based Collision Resolution for Smooth Rigid Bodies
We present a complementarity-based collision resolution algorithm for smooth, non-spherical, rigid bodies. Unlike discrete surface representation approaches, which approximate surfaces using discrete elements (e.g., tessellations or sub-spheres) with constraints between nearby faces, edges, nodes, or sub-objects, our algorithm solves a recursively generated linear complementarity problem (ReLCP) to adaptively identify potential collision locations during the collision resolution procedure. Desp…

If there’s one thing I keep coming back to, it’s this: I truly believe work could be so much more rewarding if we collectively tore down the rigid hierarchies and completely did away with bosses. In their place, we’d practice genuine worker self-management. Every decision that shapes our daily lives would be made directly by us, the workers on the shop floor.
With direct democracy at the core, and our union standing not just beside us but as a true expression of our collective will, th…

Scaling of the rotation number for perturbations of rational rotations
Paul Glendinning
https://arxiv.org/abs/2506.19508 https://arxi…

Scaling of the rotation number for perturbations of rational rotations
The parameter dependence of the rotation number in families of circle maps which are perturbations of rational rotations is described. We show that if, at a critical parameter value, the map is a (rigid) rotation $x\to x+\frac{p}{q}~({\rm mod}~1)$ with $p$ and $q$ coprime, then the rotation number is differentiable at that point provided a transversality condition holds, and hence that the rotation number scales linearly at this parameter. We provide an explicit and computable expression for th…

NetIntent: Leveraging Large Language Models for End-to-End Intent-Based SDN Automation
Md. Kamrul Hossain, Walid Aljoby
https://arxiv.org/abs/2507.14398 ht…

NetIntent: Leveraging Large Language Models for End-to-End Intent-Based SDN Automation
Intent-Based Networking (IBN) often leverages the programmability of Software-Defined Networking (SDN) to simplify network management. However, significant challenges remain in automating the entire pipeline, from user-specified high-level intents to device-specific low-level configurations. Existing solutions often rely on rigid, rule-based translators and fixed APIs, limiting extensibility and adaptability. By contrast, recent advances in large language models (LLMs) offer a promising pathway…

Enhancing non-Rigid 3D Model Deformations Using Mesh-based Gaussian Splatting
Wijayathunga W. M. R. D. B
https://arxiv.org/abs/2507.07000 https://

Enhancing non-Rigid 3D Model Deformations Using Mesh-based Gaussian Splatting
We propose a novel framework that enhances non-rigid 3D model deformations by bridging mesh representations with 3D Gaussian splatting. While traditional Gaussian splatting delivers fast, real-time radiance-field rendering, its post-editing capabilities and support for large-scale, non-rigid deformations remain limited. Our method addresses these challenges by embedding Gaussian kernels directly onto explicit mesh surfaces. This allows the mesh's inherent topological and geometric priors to gui…

How Soft is Too Soft? Tuning Order and Disorder in Dimeric Core-Soft Colloids with Bond Flexibility
Leandro B. Krott, Davi Felipe Kray Silva, A. de J. R\'ios-Roldan, Victor M. Trejos, J. Antonio Moreno-Razo, Jos\'e Rafael Bordin
https://arxiv.org/abs/2507.18377

How Soft is Too Soft? Tuning Order and Disorder in Dimeric Core-Soft Colloids with Bond Flexibility
We employ molecular dynamics simulations to explore how internal flexibility affects phase transitions in soft-matter systems composed of dimers interacting via a core-softened potential with two characteristic length scales. Monomers are connected by harmonic springs with varying stiffness, allowing us to tune the dimer rigidity from highly flexible to nearly rigid. Flexible dimers reproduce the behavior of monomeric systems, displaying well-defined BCC and HCP crystalline phases separated by …

Topology and Algebra of Bonded Knots and Braids
Ioannis Diamantis, Louis H. Kauffman, Sofia Lambropoulou
https://arxiv.org/abs/2507.15086 https://arxiv.org…

Topology and Algebra of Bonded Knots and Braids
In this paper we present a detailed study of \emph{bonded knots} and their related structures, integrating recent developments into a single framework. Bonded knots are classical knots endowed with embedded bonding arcs modeling physical or chemical bonds. We consider bonded knots in three categories (long, standard, and tight) according to the type of bonds, and in two categories, topological vertex and rigid vertex, according to the allowed isotopy moves, and we define invariants for each cat…

Rigid Algebras and Cospans
Leor Neuhauser
https://arxiv.org/abs/2506.22072 https://arxiv.org/pdf/2506.22072

Rigid Algebras and Cospans
We introduce rigid algebras, a generalization of rigid categories to arbitrary symmetric monoidal $(\infty,2)$-categories. We develop their general theory, showing in particular that the a priori $(\infty,2)$-category of rigid algebras is in fact an $(\infty,1)$-category. For the $(\infty,2)$-category of cospans in an $(\infty,1)$-category $\mathcal{C}$, we show that the $(\infty,1)$-category of rigid commutative algebras is canonically identified with $\mathcal{C}$. This identification is used…

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$
Blake Jackson
https://arxiv.org/abs/2507.02218 https://a…

A geometric model for the non-$τ$-rigid modules of type $\widetilde{D}_n$
We give a geometric model for the non-$τ$-rigid modules over acyclic path algebras of type $\widetilde{D}_n$. Similar models have been provided for module categories over path algebras of types $A_n, D_n,$ and $\widetilde{A}_n$ as well as the $τ$-rigid modules of type $\widetilde{D}_n$. A major draw of these geometric models is the "intersection-dimension formulas" they often come with. These formulas give an equality between the intersection number of the curves representing the modules in t…

Closed Form Time Derivatives of the Equations of Motion of Rigid Body Systems
Andreas Mueller, Shivesh Kumar
https://arxiv.org/abs/2507.11076 https://

Closed Form Time Derivatives of the Equations of Motion of Rigid Body Systems
Derivatives of equations of motion(EOM) describing the dynamics of rigid body systems are becoming increasingly relevant for the robotics community and find many applications in design and control of robotic systems. Controlling robots, and multibody systems comprising elastic components in particular, not only requires smooth trajectories but also the time derivatives of the control forces/torques, hence of the EOM. This paper presents the time derivatives of the EOM in closed form up to secon…

Large-amplitude periodic solutions to the steady Euler equations with piecewise constant vorticity
Alex Doak, Karsten Matthies, Jonathan Sewell, Miles H. Wheeler
https://arxiv.org/abs/2506.17002

Large-amplitude periodic solutions to the steady Euler equations with piecewise constant vorticity
We consider steady solutions to the incompressible Euler equations in a two-dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface or when the conformal equivalence between one of the layers and a strip breaks down in a $C^1$ sense. We give numerical evidence that, depending on paramet…

Erd\H{o}s's unit distance problem and rigidity
J\'anos Pach, Orit E. Raz, J\'ozsef Solymosi
https://arxiv.org/abs/2507.15679 https://

Erdős's unit distance problem and rigidity
According to a classical result of Spencer, Szemerédi, and Trotter (1984), the maximum number of times the unit distance can occur among $n$ points in the plane is $O(n^{4/3})$. This is far from Erdős's lower bound, $n^{1+O(1/\log\log n)}$, which is conjectured to be optimal. We prove a structural result for point sets with nearly $n^{4/3}$ unit distances and use it to reduce the problem to a conjecture on rigid frameworks. This conjecture, if true, would yield the first improvement on the bo…

Three-Dimensional Rigid-Body Impact Mechanics for Automobile Collisions
Micky Marine
https://arxiv.org/abs/2507.08033 https://arxiv.o…

Three-Dimensional Rigid-Body Impact Mechanics for Automobile Collisions
Two-dimensional (planar) rigid-body impact mechanics for application in automobile collisions have been described by a number of researchers over the last several decades. Little has been discussed, however, regarding three-dimensional rigid-body impact mechanics in this regard. Two commercially available accident simulation programs, PC-Crash and Virtual CRASH, offer three-dimensional rigid-body impact mechanics as one of their collision models but documentation of the complete development of …

Contact magnetic geodesic and sub-Riemannian flows on $V_{n,2}$ and integrable cases of a heavy rigid body with a gyrostat
Bozidar Jovanovic
https://arxiv.org/abs/2506.13101

Contact magnetic geodesic and sub-Riemannian flows on $V_{n,2}$ and integrable cases of a heavy rigid body with a gyrostat
We prove the integrability of magnetic geodesic flows of $SO(n)$--invariant Riemannian metrics on the rank two Stefel variety $V_{n,2}$ with respect to the magnetic field $η\, dα$, where $α$ is the standard contact form on $V_{n,2}$ and $η$ is a real parameter. Also, we prove the integrability of magnetic sub-Riemannian geodesic flows for $SO(n)$-invariant sub-Riemannian structures on $V_{n,2}$. All statements in the limit $η=0$ imply the integrability of the problems without the influence…

Enkidu: Universal Frequential Perturbation for Real-Time Audio Privacy Protection against Voice Deepfakes
Zhou Feng, Jiahao Chen, Chunyi Zhou, Yuwen Pu, Qingming Li, Tianyu Du, Shouling Ji
https://arxiv.org/abs/2507.12932

Enkidu: Universal Frequential Perturbation for Real-Time Audio Privacy Protection against Voice Deepfakes
The rapid advancement of voice deepfake technologies has raised serious concerns about user audio privacy, as attackers increasingly exploit publicly available voice data to generate convincing fake audio for malicious purposes such as identity theft, financial fraud, and misinformation campaigns. While existing defense methods offer partial protection, they face critical limitations, including weak adaptability to unseen user data, poor scalability to long audio, rigid reliance on white-box kn…

This https://arxiv.org/abs/2309.14542 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Trace Maps on Rigid Stein Spaces
We provide a relative version of the trace map from the work of Beyer, which can be associated to any finite tale morphism $X \to Y$ of smooth rigid Stein spaces and which then relates the Serre duality on $X$ with the Serre duality on $Y$. Furthermore, we consider the behaviour of any rigid Stein space under (completed) base change to any complete extension field and deduce a commutative diagram relating Serre duality over the base field with the Serre duality over the extension field.

Are Vision Foundation Models Ready for Out-of-the-Box Medical Image Registration?
Hanxue Gu, Yaqian Chen, Nicholas Konz, Qihang Li, Maciej A. Mazurowski
https://arxiv.org/abs/2507.11569

Are Vision Foundation Models Ready for Out-of-the-Box Medical Image Registration?
Foundation models, pre-trained on large image datasets and capable of capturing rich feature representations, have recently shown potential for zero-shot image registration. However, their performance has mostly been tested in the context of rigid or less complex structures, such as the brain or abdominal organs, and it remains unclear whether these models can handle more challenging, deformable anatomy. Breast MRI registration is particularly difficult due to significant anatomical variation b…

This morning's harvest.
#Garden

Magnetic and ferroelectric phase diagram of twisted CrI$_3$ layers
Haoshen Ye, Shuai Dong
https://arxiv.org/abs/2507.12324 https://ar…

Magnetic and ferroelectric phase diagram of twisted CrI$_3$ layers
Twisting layers provide a rich ore for exotic physics in low dimensions. Despite the abundant discoveries of twistronics from the aspect of electronic structures, ferroic moiré textures are more plain and thus less concerned. Rigid lattice models are straightforward which can give a rough but intuitional description in most cases. However, taking CrI$_3$ as a model system, here we will demonstrate that the interlayer stacking potential can spontaneously lead to structural relaxation, which pla…

Topology optimization of actively moving rigid bodies in unsteady flows
Yuta Tanabe, Kentaro Yaji, Kuniharu Ushijima
https://arxiv.org/abs/2506.23895 https…

Topology optimization of actively moving rigid bodies in unsteady flows
This study proposes a novel topology optimization method for unsteady fluid flows induced by actively moving rigid bodies. The key idea of the proposed method is to decouple the design and analysis domains by using separate grids. The design grid undergoes rigid body motion and is then overlapped onto the analysis grid. After the overlap, key quantities such as the Brinkman coefficient are transferred between the grids. This approach provides a direct and efficient means of representing object …

Wave propagation in a model artery
Pierre Chantelot, Alexandre Delory, Claire Prada, Fabrice Lemoult
https://arxiv.org/abs/2507.17698 https://arxiv.org/pdf…

Wave propagation in a model artery
Fluid filled pipes are ubiquitous in both man-made constructions and living organisms. In the latter, biological pipes, such as arteries, have unique properties as their walls are made of soft, incompressible, highly deformable materials. In this article, we experimentally investigate wave propagation in a model artery: an elastomer strip coupled to a rigid water channel. We measure out-of-plane waves using synthetic Schlieren imaging, and evidence a single dispersive mode which resembles the p…

Evolutionary Caching to Accelerate Your Off-the-Shelf Diffusion Model
Anirud Aggarwal, Abhinav Shrivastava, Matthew Gwilliam
https://arxiv.org/abs/2506.15682

Evolutionary Caching to Accelerate Your Off-the-Shelf Diffusion Model
Diffusion-based image generation models excel at producing high-quality synthetic content, but suffer from slow and computationally expensive inference. Prior work has attempted to mitigate this by caching and reusing features within diffusion transformers across inference steps. These methods, however, often rely on rigid heuristics that result in limited acceleration or poor generalization across architectures. We propose Evolutionary Caching to Accelerate Diffusion models (ECAD), a genetic a…

Do you enjoy working? Sure, as long as the shop floor runs on real democracy and it’s the workers themselves making the calls through good old-fashioned worker self-management, without bosses or rigid hierarchies.
#RevolutionarySyndicalism #Syndicalism

Elementary Steps of Energy Conversion in Strongly Correlated Systems: Beyond Single Quasiparticles and Rigid Bands
V. Moshnyaga, Ch. Jooss P. E. Bl\"ochl, V. Bruchmann-Bamberg, A. Dehning, L. Allen-Rump, C. Hausmann, M. Kr\"uger, A. Rathnakaran, S. Rajpurohit, D. Steil, C. Flathmann, J. Hoffmann, M. Seibt, C. Volkert
https://

Elementary Steps of Energy Conversion in Strongly Correlated Systems: Beyond Single Quasiparticles and Rigid Bands
Energy conversion in materials can be considered as a sequence of elementary steps initiated by a primary excitation. While these steps are quite well understood in classical semiconductors in terms of quasiparticle (QP) excitations and interactions, their understanding in strongly correlated materials is still elusive. Here, we review the progress which has been achieved over recent years by studies of manganite perovskite oxides as a model system for materials with strong correlations. They s…

The motion of a rigid body in a viscous fluid: new results for strong solutions, uniqueness and integrability properties
Paolo Maremonti, Filippo Palma
https://arxiv.org/abs/2507.11105

The motion of a rigid body in a viscous fluid: new results for strong solutions, uniqueness and integrability properties
In this note, we show two results in the setting of Galdi-Silvestre strong solutions for the rigid body-viscous fluid interaction. The former, under an additional integrability assumption on the gradient of the initial data, proves that the time derivative of the solution belongs to $L^2(0,T;L^2(Ω))$. The latter, thanks to a further assumption only on one solution, proves that the uniqueness holds in the quoted setting. However, our extra assumption for the uniqueness is certainly verified und…

EXPEREPAIR: Dual-Memory Enhanced LLM-based Repository-Level Program Repair
Fangwen Mu, Junjie Wang, Lin Shi, Song Wang, Shoubin Li, Qing Wang
https://arxiv.org/abs/2506.10484

EXPEREPAIR: Dual-Memory Enhanced LLM-based Repository-Level Program Repair
Automatically repairing software issues remains a fundamental challenge at the intersection of software engineering and AI. Although recent advancements in Large Language Models (LLMs) have demonstrated potential for repository-level repair tasks, current methodologies exhibit two notable limitations: (1) they often address issues in isolation, neglecting to incorporate insights from previously resolved issues, and (2) they rely on static and rigid prompting strategies, which constrain their ab…

Replaced article(s) found for math.AG. https://arxiv.org/list/math.AG/new
[1/1]:
- Arithmetic Properties Of $\ell$-adic \'Etale Cohomology and Nearby Cycles of Rigid-Analytic Spaces
David Hansen, Bogdan Zavyalov

A Simulation Based Inference Approach to the Dynamics of the MW-LMC System -- Validation
Richard A. N. Brooks, Jason L. Sanders, Adam M. Dillamore, Nicol\'as Garavito-Camargo, Adrian M. Price-Whelan
https://arxiv.org/abs/2507.10667

A Simulation Based Inference Approach to the Dynamics of the MW-LMC System -- Validation
The infall of the LMC into the Milky Way (MW) has generated dynamical disequilibrium throughout the MW. The interaction has displaced the MW's centre of mass, manifesting as an apparent 'reflex motion' in velocities of outer halo stars. Often, expensive high fidelity MW--LMC simulations are required to model these effects, though the range of model parameter spaces can be large and complex. We investigate the ability of lower fidelity, rigid MW-LMC simulations to reliably infer the model parame…

NLI4VolVis: Natural Language Interaction for Volume Visualization via LLM Multi-Agents and Editable 3D Gaussian Splatting
Kuangshi Ai, Kaiyuan Tang, Chaoli Wang
https://arxiv.org/abs/2507.12621

NLI4VolVis: Natural Language Interaction for Volume Visualization via LLM Multi-Agents and Editable 3D Gaussian Splatting
Traditional volume visualization (VolVis) methods, like direct volume rendering, suffer from rigid transfer function designs and high computational costs. Although novel view synthesis approaches enhance rendering efficiency, they require additional learning effort for non-experts and lack support for semantic-level interaction. To bridge this gap, we propose NLI4VolVis, an interactive system that enables users to explore, query, and edit volumetric scenes using natural language. NLI4VolVis int…

This https://arxiv.org/abs/2403.15425 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Multistep reversible excitation transfer in a multicomponent rigid solution: II. Modeling the dynamics of radiationless transfer as a time-resolved Markov chain
To determine the effect of nonradiative excitation energy transfer on the fluorescence of a rigid multicomponent solution, a new analytical method was developed by treating this transfer as a time-resolved Markov chain (TRMC). In the TRMC approach, we assume that the Markov chain under consideration is governed by bivariate joint probability mass-density functions. One of the random variables is discrete and represents the state number to which the process passes at a given step, while the othe…

Leveraging Conformational Diversity for Enhanced Structure-Based Virtual Screening: Insights from Molecular Dynamics Simulations of HIV-1 Protease-Ligand Complexes
Pei-Kun Yang
https://arxiv.org/abs/2507.09658

Leveraging Conformational Diversity for Enhanced Structure-Based Virtual Screening: Insights from Molecular Dynamics Simulations of HIV-1 Protease-Ligand Complexes
Structure-based virtual screening aims to identify high-affinity ligands by estimating binding free energies between proteins and small molecules. However, the conformational flexibility of both proteins and ligands challenges conventional rigid docking methods that assume a fixed receptor structure. In this study, we examined the impact of conformational diversity on binding energy calculations using 79 HIV-1 protease-ligand complexes. Molecular dynamics simulations were employed to generate s…

MorphIt: Flexible Spherical Approximation of Robot Morphology for Representation-driven Adaptation
Nataliya Nechyporenko, Yutong Zhang, Sean Campbell, Alessandro Roncone
https://arxiv.org/abs/2507.14061

MorphIt: Flexible Spherical Approximation of Robot Morphology for Representation-driven Adaptation
What if a robot could rethink its own morphological representation to better meet the demands of diverse tasks? Most robotic systems today treat their physical form as a fixed constraint rather than an adaptive resource, forcing the same rigid geometric representation to serve applications with vastly different computational and precision requirements. We introduce MorphIt, a novel algorithm for approximating robot morphology using spherical primitives that balances geometric accuracy with comp…

GATSim: Urban Mobility Simulation with Generative Agents
Qi Liu, Can Li, Wanjing Ma
https://arxiv.org/abs/2506.23306 https://arxiv.or…

GATSim: Urban Mobility Simulation with Generative Agents
Traditional agent-based urban mobility simulations rely on rigid rule-based systems that fail to capture the complexity, adaptability, and behavioral diversity characteristic of human travel decision-making. Recent advances in large language models and AI agent technology offer opportunities to create agents with reasoning capabilities, persistent memory, and adaptive learning mechanisms. We propose GATSim (Generative-Agent Transport Simulation), a novel framework that leverages these advances …

Reconstructing Heterogeneous Biomolecules via Hierarchical Gaussian Mixtures and Part Discovery
Shayan Shekarforoush, David B. Lindell, Marcus A. Brubaker, David J. Fleet
https://arxiv.org/abs/2506.09063

Reconstructing Heterogeneous Biomolecules via Hierarchical Gaussian Mixtures and Part Discovery
Cryo-EM is a transformational paradigm in molecular biology where computational methods are used to infer 3D molecular structure at atomic resolution from extremely noisy 2D electron microscope images. At the forefront of research is how to model the structure when the imaged particles exhibit non-rigid conformational flexibility and compositional variation where parts are sometimes missing. We introduce a novel 3D reconstruction framework with a hierarchical Gaussian mixture model, inspired in…

Attitude Estimation Using Scalar Measurements
Hassan Alnahhal, Sifeddine Benahmed, Soulaimane Berkane, Tarel Hamel
https://arxiv.org/abs/2506.07068 https:/…

Attitude Estimation Using Scalar Measurements
This paper revisits the problem of orientation estimation for rigid bodies through a novel framework based on scalar measurements. Unlike traditional vector-based methods, the proposed approach enables selective utilization of only the reliable axes of vector measurements while seamlessly incorporating alternative scalar modalities such as Pitot tubes, barometers with range sensors, and landmark-based constraints. The estimation problem is reformulated within a linear time-varying (LTV) framewo…

Generic models of licci ideals parametrized by Schur functors
Lorenzo Guerrieri, Xianglong Ni, Jerzy Weyman
https://arxiv.org/abs/2506.09598 https://

Generic models of licci ideals parametrized by Schur functors
Let R be a commutative Noetherian ring. Licci ideals are the ideals of R that can be linked in a finite number of steps to a complete intersection. Each licci ideal admits a rigid deformation, and two licci ideals are in the same Herzog class if they have a common deformation. In this work, we show how all the Herzog classes of licci ideals of codimension 3 can be parametrized in terms of pairs of partitions associated to Schur functors. This fact allows to describe in a purely combinatorial wa…

I'm #ActuallyAutistic, and I want to see a worker-controlled community where the labor process isn’t dictated by rigid hierarchies or managers running some Taylorist algorithm. Imagine abolishing those antiquated top-down structures and running things through federated councils, real participatory democracy, not just a suggestion box theater.
My ideal workday would be one w…

Rotation dynamics and torque efficiency of cometary nuclei
Matthias Laeuter, Tobias Kramer
https://arxiv.org/abs/2507.06036 https://a…

Rotation dynamics and torque efficiency of cometary nuclei
The dynamics of a rigid cometary nucleus is described by the evolutions of its center-of-mass and of its rotation state. Solar irradiation that reaches the surface of a cometary nucleus causes the sublimation of volatiles that form the coma around the nucleus. The sublimation process transfers linear momentum and rotational angular momentum from the nucleus to the surrounding space, and thus affects the dynamics via nongravitational forces and nongravitational torques. The 2014-2016 Rosetta mis…

An in depth look at the Procrustes-Wasserstein distance: properties and barycenters
Davide Adamo, Marco Corneli, Manon Vuillien, Emmanuelle Vila
https://arxiv.org/abs/2507.00894

An in depth look at the Procrustes-Wasserstein distance: properties and barycenters
Due to its invariance to rigid transformations such as rotations and reflections, Procrustes-Wasserstein (PW) was introduced in the literature as an optimal transport (OT) distance, alternative to Wasserstein and more suited to tasks such as the alignment and comparison of point clouds. Having that application in mind, we carefully build a space of discrete probability measures and show that over that space PW actually is a distance. Algorithms to solve the PW problems already exist, however we…

EKPC: Elastic Knowledge Preservation and Compensation for Class-Incremental Learning
Huaijie Wang, De Cheng, Lingfeng He, Yan Li, Jie Li, Nannan Wang, Xinbo Gao
https://arxiv.org/abs/2506.12351

EKPC: Elastic Knowledge Preservation and Compensation for Class-Incremental Learning
Class-Incremental Learning (CIL) aims to enable AI models to continuously learn from sequentially arriving data of different classes over time while retaining previously acquired knowledge. Recently, Parameter-Efficient Fine-Tuning (PEFT) methods, like prompt pool-based approaches and adapter tuning, have shown great attraction in CIL. However, these methods either introduce additional parameters that increase memory usage, or rely on rigid regularization techniques which reduce forgetting but …

Bonded braids and the Markov theorem
Paolo Cavicchioli, Bo\v{s}tjan Gabrov\v{s}ek, Matic Simoni\v{c}
https://arxiv.org/abs/2507.04565 https://

Bonded braids and the Markov theorem
Bonded knots arise naturally in topological protein modeling, where intramolecular interactions such as disulfide bridges stabilize folded configurations. These structures extend classical knot theory by incorporating embedded graphs, and have been formalized as bonded knots. In this paper, we develop the algebraic theory of bonded braids, introducing the bonded braid monoid in the topological and rigid settings, which encodes both classical braid crossings and (rigid) bonded connections. We pr…

New Molecular Dynamics Methods for Simulating Neutron Star Crusts with Superfluid Vortices
M. E. Caplan, N. T. Smith
https://arxiv.org/abs/2507.04527 https…

New Molecular Dynamics Methods for Simulating Neutron Star Crusts with Superfluid Vortices
Superfluid vortices in neutron star crusts are thought to be pinned to the lattice of nuclei in the crust. The unpinning of superfluid vortices in spin glitches therefore motivates us to study the vortex-crust interaction explicitly with molecular dynamics. In this work, we present a new molecular dynamics methods to characterize the response of the crust to a rigid vortex. When vortex pinning forces and nearest neighbor Coulomb forces are comparable, we observe a qualitatively new phenomena of…

This https://arxiv.org/abs/2501.07198 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Large charge operators at large spin from relativistically rotating vortices
We study the ground states of CFTs with a global $U(1)$ symmetry on $\mathbb{R}\times S^2$ in the regime of large charge $Q$ and large angular momentum $J$, using large charge EFT. We find that in the range $Q \ll J \ll Q^2$, the ground state solution is a superfluid densely populated with vortices rotating at a constant angular velocity $Ω$. This is a relativistic generalization of the known (non-relativistic) rigid rotation phase, which corresponds to the small $Ω$ limit of our solution. In…

On Reconfigurable Bisimulation, with an Application to the Distributed Synthesis Problem
Yehia Abd Alrahman, Nir Piterman
https://arxiv.org/abs/2505.21672 …

On Reconfigurable Bisimulation, with an Application to the Distributed Synthesis Problem
We consider the problem of distributing a centralised transition system to a set of asynchronous agents recognising the same language. Existing solutions are either manual or involve a huge explosion in the number of states from the centralised system. The difficulty arises from the need to keep a rigid communication scheme, specifying a fixed mapping from events to those who can participate in them. Thus, individual agents need to memorise seen events and their order to dynamically compare the…

NEAT and HyperNEAT based Design for Soft Actuator Controllers
Hugo Alcaraz-Herrera, Michail-Antisthenis Tsompanas, Igor Balaz, Andrew Adamatzky
https://arxiv.org/abs/2506.04698

NEAT and HyperNEAT based Design for Soft Actuator Controllers
Since soft robotics are composed of compliant materials, they perform better than conventional rigid robotics in specific fields, such as medical applications. However, the field of soft robotics is fairly new, and the design process of their morphology and their controller strategies has not yet been thoroughly studied. Consequently, here, an automated design method for the controller of soft actuators based on Neuroevolution is proposed. Specifically, the suggested techniques employ Neuroevol…

Clapping propulsion and thin vortex rings: a computational study of vortex dynamics, energy equivalence, and core potential energy
Suyog V. Mahulkar, Jaywant H. Arakeri
https://arxiv.org/abs/2507.11491

Clapping propulsion and thin vortex rings: a computational study of vortex dynamics, energy equivalence, and core potential energy
We present a numerical study on clapping propulsion using a body consisting of two rigid plates hinged at one end, with a 60-degree interplate cavity. The closing of the cavity generates a thrust-producing jet. Our previous experimental study (Mahulkar and Arakeri, PRF, 2024) compared the flow fields of the clapping body in two cases: free-moving (dynamic) and forward-constrained (stationary). The experiments revealed significant differences in body motion and flow structures. This numerical st…

Tao-Technology for Teen Mobile Use: Harmonizing Adaptation, Autonomy, and Reflection
Pengyu Zhu, Janghee Cho
https://arxiv.org/abs/2507.12204 https://

Tao-Technology for Teen Mobile Use: Harmonizing Adaptation, Autonomy, and Reflection
Adolescents' mobile technology use is often regulated through rigid control mechanisms that fail to account for their autonomy and natural usage patterns. Drawing on Taoist philosophy, particularly Wu Wei, Yin-Yang, and Zi Ran, this position paper proposes Tao-Technology, a self-organizing, adaptive regulatory framework. Integrating insights from Reflective Informatics and Information Ecologies, we explore how mobile technology can dynamically adjust to context while fostering self-reflection a…

Rigid Spheres Rising at Constant Speed Through Collections of Hydrogels
Tom Mullin, Tommaso Pettinari, Joshua A. Dijksman
https://arxiv.org/abs/2507.03964 …

Rigid Spheres Rising at Constant Speed Through Collections of Hydrogels
We present the results of an experimental investigation into buoyant rigid spheres rising through concentrated collections of hydrated hydrogel particles. The volume fraction of particles is such that the mechanical properties of the material are intermediate between a very viscous fluid and a soft solid. Despite the non-Newtonian character of these hydrogels, we find that when the surface of the material is free, an immersed buoyant sphere rises with a constant speed. The effects of the motion…

Arcturus: A Cloud Overlay Network for Global Accelerator with Enhanced Performance and Stability
Matthew Yang Liu, Chuang Chen, Pengcheng Lv, Hui Guo, Yanan Zhang, Cong Wang, Yusen Li, Zhenyu Li, Yu-Chu Tian
https://arxiv.org/abs/2507.10928

Arcturus: A Cloud Overlay Network for Global Accelerator with Enhanced Performance and Stability
Global Accelerator (GA) services play a vital role in ensuring low-latency, high-reliability communication for real-time interactive applications. However, existing GA offerings are tightly bound to specific cloud providers, resulting in high costs, rigid deployment, and limited flexibility, especially for large-scale or budget-sensitive deployments. Arcturus is a cloud-native GA framework that revisits the design of GA systems by leveraging low-cost, heterogeneous cloud resources across multip…

I have nothing against my boss, but when they make critical decisions that affect my day-to-day life at work and I don't have any real influence over what shapes my workday, I like them less.
I'm not saying life is perfect, but syndicalism has taught me that we don't need rigid hierarchies to run a workplace democratically, by the workers, for the workers, and for their own benefit.
If run democratically, I can shape my own workday and workweek together with my cowork…

$p$-adic Fourier theory in families
Andrew Graham, Pol van Hoften, Sean Howe
https://arxiv.org/abs/2507.05374 https://arxiv.org/pdf/2…

$p$-adic Fourier theory in families
We construct Fourier transforms relating functions and distributions on finite height $p$-divisible rigid analytic groups and objects in a dual category of $\mathbb{Z}_p$-local systems with analyticity conditions. Our Fourier transforms are formulated as isomorphisms of solid Hopf algebras over arbitrary small v-stacks, and generalize earlier constructions of Amice and Schneider--Teitelbaum. We also construct compatible integral Fourier transforms for $p$-divisible groups and their dual Tate mo…

Rigid affine cones over singular del Pezzo surfaces
In-Kyun Kim, Jaehyun Kim, Joonyeong Won
https://arxiv.org/abs/2506.01310 https://…

Rigid affine cones over singular del Pezzo surfaces
We completely determine the existence of anticanonical polar cylinders in quasi-smooth log del Pezzo surfaces of index one.

Equivariant Filter for Relative Attitude and Target Angular Velocity Estimation
Gil Serrano, Bruno J. Guerreiro, Pedro Louren\c{c}o, Rita Cunha
https://arxiv.org/abs/2506.06016

Equivariant Filter for Relative Attitude and Target Angular Velocity Estimation
Accurate estimation of the relative attitude and angular velocity between two rigid bodies is fundamental in aerospace applications such as spacecraft rendezvous and docking. In these scenarios, a chaser vehicle must determine the orientation and angular velocity of a target object using onboard sensors. This work addresses the challenge of designing an Equivariant Filter (EqF) that can reliably estimate both the relative attitude and the target angular velocity using noisy observations of two …

This https://arxiv.org/abs/2003.11446 has been replaced.
link: https://scholar.google.com/scholar?q=a

Probabilistic Counters for Privacy Preserving Data Aggregation
Probabilistic counters are well-known tools often used for space-efficient set cardinality estimation. In this paper, we investigate probabilistic counters from the perspective of preserving privacy. We use the standard, rigid differential privacy notion. The intuition is that the probabilistic counters do not reveal too much information about individuals but provide only general information about the population. Therefore, they can be used safely without violating the privacy of individuals. H…

Multiscale contact mechanics for elastoplastic contacts
Andreas Almqvist, Bo N. J. Persson
https://arxiv.org/abs/2507.14054 https://a…

Multiscale contact mechanics for elastoplastic contacts
Understanding contact between rough surfaces undergoing plastic deformation is crucial in many applications. We test Persson's multiscale contact mechanics theory for elastoplastic solids, assuming a constant penetration hardness. Using a numerical model based on the boundary element method, we simulate the contact between a rough, rigid surface and an elastic-perfectly plastic half-space with a flat surface. The theory's predictions for elastic, plastic, and total contact area agree quantitati…

Unified Modeling and Structural Optimization of Multi-magnet Embedded Soft Continuum Robots for Enhanced Kinematic Performances
Zhiwei Wu, Jiahao Luo, Siyi Wei, Jinhui Zhang
https://arxiv.org/abs/2507.10950

Unified Modeling and Structural Optimization of Multi-magnet Embedded Soft Continuum Robots for Enhanced Kinematic Performances
This paper presents a unified modeling and optimization framework to enhance the kinematic performance of multi-magnet embedded soft continuum robots (MeSCRs). To this end, we establish a differentiable system formulation based on an extended pseudo-rigid-body model. This formulation enables analysis of the equilibrium well-posedness and the geometry of the induced configuration under magnetic actuation. In particular, we show that the maximum controllable degrees of freedom of a MeSCR equal tw…

ManifoldMind: Dynamic Hyperbolic Reasoning for Trustworthy Recommendations
Anoushka Harit, Zhongtian Sun, Suncica Hadzidedic
https://arxiv.org/abs/2507.02014

ManifoldMind: Dynamic Hyperbolic Reasoning for Trustworthy Recommendations
We introduce ManifoldMind, a probabilistic geometric recommender system for exploratory reasoning over semantic hierarchies in hyperbolic space. Unlike prior methods with fixed curvature and rigid embeddings, ManifoldMind represents users, items, and tags as adaptive-curvature probabilistic spheres, enabling personalised uncertainty modeling and geometry-aware semantic exploration. A curvature-aware semantic kernel supports soft, multi-hop inference, allowing the model to explore diverse concep…

This https://arxiv.org/abs/2505.15750 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Localising invariants in derived bornological geometry
We study several categories of analytic stacks relative to the category of bornological modules over a Banach ring. When the underlying Banach ring is a nonarchimedean valued field, this category contains derived rigid analytic spaces as a full subcategory. When the underlying field is the complex numbers, it contains the category of derived complex analytic spaces. In the second part of the paper, we consider localising invariants of rigid categories associated to bornological algebras. The ma…

Formal models for relative adic spaces
Dimitri Dine
https://arxiv.org/abs/2507.11073 https://arxiv.org/pdf/2507.11073

Formal models for relative adic spaces
We extend Raynaud's theory of formal models from rigid-analytic spaces over a nonarchimedean field to uniform qcqs adic spaces $X$, with no finite-type assumptions, over an arbitrary Tate affinoid base $S$. The key new ingredient is the notion of a normalized formal blow-up which takes on the role played by admissible formal blow-ups in the classical theory.

Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant
Andr\'e Guerra, Xavier Lamy, Konstantinos Zemas
https://arxiv.org/abs/2507.10686

Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant
We prove that, modulo rigid motions, the Hopf map is the unique minimizer of the Faddeev--Skyrme energy in its homotopy class, for a sufficiently large coupling constant.

InterGSEdit: Interactive 3D Gaussian Splatting Editing with 3D Geometry-Consistent Attention Prior
Minghao Wen, Shengjie Wu, Kangkan Wang, Dong Liang
https://arxiv.org/abs/2507.04961

InterGSEdit: Interactive 3D Gaussian Splatting Editing with 3D Geometry-Consistent Attention Prior
3D Gaussian Splatting based 3D editing has demonstrated impressive performance in recent years. However, the multi-view editing often exhibits significant local inconsistency, especially in areas of non-rigid deformation, which lead to local artifacts, texture blurring, or semantic variations in edited 3D scenes. We also found that the existing editing methods, which rely entirely on text prompts make the editing process a "one-shot deal", making it difficult for users to control the editing de…

This https://arxiv.org/abs/2505.19945 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Signed Angle Rigid Graphs for Network Localization and Formation Control
Graph rigidity theory studies the capability of a graph embedded in the Euclidean space to constrain its global geometric shape via local constraints among nodes and edges, and has been widely exploited in network localization and formation control. In recent years, the traditional rigidity theory has been extended by considering new types of local constraints such as bearing, angle, ratio of distance, etc. Among them, the signed angle constraint received extensive attention since it is practic…

Autonomous life-like behavior emerging in active and flexible microstructures
Mengshi Wei, Daniela J. Kraft
https://arxiv.org/abs/2506.15198 https://

Autonomous life-like behavior emerging in active and flexible microstructures
Many organisms leverage an interplay between shape and activity to generate motion and adapt to their environment. Embedding such feedback into synthetic microrobots could eliminate the need for sensors, software, and actuators, yet current realizations are either active but rigid, or flexible but passive. Here, we introduce micrometer-scale structures that integrate both activity and flexibility by 3D microprinting concatenated units and actuating them with an AC electric field. This minimal y…

Sensor Model Identification via Simultaneous Model Selection and State Variable Determination
Christian Brommer, Alessandro Fornasier, Jan Steinbrener, Stephan Weiss
https://arxiv.org/abs/2506.11263

Sensor Model Identification via Simultaneous Model Selection and State Variable Determination
We present a method for the unattended gray-box identification of sensor models commonly used by localization algorithms in the field of robotics. The objective is to determine the most likely sensor model for a time series of unknown measurement data, given an extendable catalog of predefined sensor models. Sensor model definitions may require states for rigid-body calibrations and dedicated reference frames to replicate a measurement based on the robot's localization state. A health metric is…

5-regular graphs and the 3-dimensional rigidity matroid
Rebecca Monks, Anthony Nixon
https://arxiv.org/abs/2506.22214 https://arxiv.o…

5-regular graphs and the 3-dimensional rigidity matroid
A bar-joint framework $(G,p)$ in Euclidean $d$-space is rigid if the only edge-length-preserving continuous motions arise from isometries of $\mathbb{R}^d$. In the generic case, rigidity is determined by the generic $d$-dimensional rigidity matroid of $G$. The combinatorial nature of this matroid is well understood when $d=1,2$ but open when $d\geq 3$. Jackson and Jordán 2005 characterised independence in this matroid for connected graphs with minimum degree at most $d+1$ and maximum degree at…

Sliding of a liquid spherical drop in an external fluid: a generalization of the Hadamard-Rybczynski equation
Peter Lebedev-Stepanov
https://arxiv.org/abs/2507.05947

Sliding of a liquid spherical drop in an external fluid: a generalization of the Hadamard-Rybczynski equation
An analytical solution is obtained for the problem of the slow movement of a small drop of liquid in another immiscible liquid in an infinitely large reservoir with the boundary condition of partial slip at the liquid-liquid interface. That generalizes the conventional Navier condition of partial slip that given at the liquid-solid interface, since the solid (rigid) state can be considered as a liquid with infinite viscosity. A generalized Hadamard-Rybczynski equation (HRE) is obtained. If slip…

Self-Wearing Adaptive Garments via Soft Robotic Unfurling
Nam Gyun Kim, William E. Heap, Yimeng Qin, Elvy B. Yao, Jee-Hwan Ryu, Allison M. Okamura
https://arxiv.org/abs/2507.07221

Self-Wearing Adaptive Garments via Soft Robotic Unfurling
Robotic dressing assistance has the potential to improve the quality of life for individuals with limited mobility. Existing solutions predominantly rely on rigid robotic manipulators, which have challenges in handling deformable garments and ensuring safe physical interaction with the human body. Prior robotic dressing methods require excessive operation times, complex control strategies, and constrained user postures, limiting their practicality and adaptability. This paper proposes a novel s…

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives
Xun Lin, Shizhuo Zhang, Zheng Zhang
https://arxiv.org/abs/2507.06995

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives
We investigate infinitesimal Torelli problems for some of the Fano threefolds of the following two types: (a) those which can be described as zero loci of sections of vector bundles on Grassmannians (for instance, ordinary Gushel-Mukai threefolds), and (b) double covers of rigid Fano threefolds branched along a $K3$ surface (such as, special Gushel-Mukai threefolds). The differential of the period map for ordinary Gushel-Mukai threefolds has been studied by Debarre, Iliev and Manivel; in partic…

Universal Scaling Laws for Deep Indentation Beyond the Hertzian Regime
Tong Mu, Changhong Linghu, Yanju Liu, Jinsong Leng, Huajian Gao, K. Jimmy Hsia
https://arxiv.org/abs/2506.11461

Universal Scaling Laws for Deep Indentation Beyond the Hertzian Regime
Deep indentation of soft materials is ubiquitous across scales in nature and engineering, yet accurate predictions of contact behaviors under extreme deformations ($δ/R > 1$) remain elusive due to geometric and material nonlinearities. Here, we investigate the indentation of rigid spheres into soft elastic substrates, resolving the highly nonlinear regime where the sphere becomes fully submerged. A universal geometric mapping approach reveals Hertz-type pressure distributions in the deformed c…

SCCRUB: Surface Cleaning Compliant Robot Utilizing Bristles
Jakub F. Kowalewski, Keeyon Hajjafar, Alyssa Ugent, Jeffrey Ian Lipton
https://arxiv.org/abs/2507.06053

SCCRUB: Surface Cleaning Compliant Robot Utilizing Bristles
Scrubbing surfaces is a physically demanding and time-intensive task. Removing adhered contamination requires substantial friction generated through pressure and torque or high lateral forces. Rigid robotic manipulators, while capable of exerting these forces, are usually confined to structured environments isolated from humans due to safety risks. In contrast, soft robot arms can safely work around humans and adapt to environmental uncertainty, but typically struggle to transmit the continuous…

Mitigating Hallucination of Large Vision-Language Models via Dynamic Logits Calibration
Jiahe Chen, Jiaying He, Qian Shao, Qiyuan Chen, Jiahe Ying, Hongxia Xu, Jintai Chen, Jianwei Zheng, Jian Wu
https://arxiv.org/abs/2506.21509

Mitigating Hallucination of Large Vision-Language Models via Dynamic Logits Calibration
Large Vision-Language Models (LVLMs) have demonstrated significant advancements in multimodal understanding, yet they are frequently hampered by hallucination-the generation of text that contradicts visual input. Existing training-free decoding strategies exhibit critical limitations, including the use of static constraints that do not adapt to semantic drift during generation, inefficiency stemming from the need for multiple forward passes, and degradation of detail due to overly rigid interve…

EC-Flow: Enabling Versatile Robotic Manipulation from Action-Unlabeled Videos via Embodiment-Centric Flow
Yixiang Chen, Peiyan Li, Yan Huang, Jiabing Yang, Kehan Chen, Liang Wang
https://arxiv.org/abs/2507.06224

EC-Flow: Enabling Versatile Robotic Manipulation from Action-Unlabeled Videos via Embodiment-Centric Flow
Current language-guided robotic manipulation systems often require low-level action-labeled datasets for imitation learning. While object-centric flow prediction methods mitigate this issue, they remain limited to scenarios involving rigid objects with clear displacement and minimal occlusion. In this work, we present Embodiment-Centric Flow (EC-Flow), a framework that directly learns manipulation from action-unlabeled videos by predicting embodiment-centric flow. Our key insight is that incorp…

This https://arxiv.org/abs/2504.09383 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Numerical Calculation of Periods on Schoen's Class of Calabi-Yau Threefolds
Through classical modularity conjectures, the period integrals of a holomorphic $3$-form on a rigid Calabi-Yau threefold are interesting from the perspective of number theory. Although the (approximate) values of these integrals would be very useful for studying such relations, they are difficult to calculate and generally not known outside of the rare cases in which we can express them exactly. In this paper, we present an efficient numerical method to compute such periods on a wide class of…

PB&J: Peanut Butter and Joints for Damped Articulation
Avery S. Williamson, Michael J. Bennington, Ravesh Sukhnandan, Mrinali Nakhre, Yuemin Mao, Victoria A. Webster-Wood
https://arxiv.org/abs/2505.24860

PB&J: Peanut Butter and Joints for Damped Articulation
Many bioinspired robots mimic the rigid articulated joint structure of the human hand for grasping tasks, but experience high-frequency mechanical perturbations that can destabilize the system and negatively affect precision without a high-frequency controller. Despite having bandwidth-limited controllers that experience time delays between sensing and actuation, biological systems can respond successfully to and mitigate these high-frequency perturbations. Human joints include damping and stif…

Understanding Physical Properties of Unseen Deformable Objects by Leveraging Large Language Models and Robot Actions
Changmin Park, Beomjoon Lee, Haechan Jung, Haejin Jung, Changjoo Nam
https://arxiv.org/abs/2506.03760

Understanding Physical Properties of Unseen Deformable Objects by Leveraging Large Language Models and Robot Actions
In this paper, we consider the problem of understanding the physical properties of unseen objects through interactions between the objects and a robot. Handling unseen objects with special properties such as deformability is challenging for traditional task and motion planning approaches as they are often with the closed world assumption. Recent results in Large Language Models (LLMs) based task planning have shown the ability to reason about unseen objects. However, most studies assume rigid o…

RealDrive: Retrieval-Augmented Driving with Diffusion Models
Wenhao Ding, Sushant Veer, Yuxiao Chen, Yulong Cao, Chaowei Xiao, Marco Pavone
https://arxiv.org/abs/2505.24808

RealDrive: Retrieval-Augmented Driving with Diffusion Models
Learning-based planners generate natural human-like driving behaviors by learning to reason about nuanced interactions from data, overcoming the rigid behaviors that arise from rule-based planners. Nonetheless, data-driven approaches often struggle with rare, safety-critical scenarios and offer limited controllability over the generated trajectories. To address these challenges, we propose RealDrive, a Retrieval-Augmented Generation (RAG) framework that initializes a diffusion-based planning po…

FreeTacMan: Robot-free Visuo-Tactile Data Collection System for Contact-rich Manipulation
Longyan Wu, Checheng Yu, Jieji Ren, Li Chen, Ran Huang, Guoying Gu, Hongyang Li
https://arxiv.org/abs/2506.01941

FreeTacMan: Robot-free Visuo-Tactile Data Collection System for Contact-rich Manipulation
Enabling robots with contact-rich manipulation remains a pivotal challenge in robot learning, which is substantially hindered by the data collection gap, including its inefficiency and limited sensor setup. While prior work has explored handheld paradigms, their rod-based mechanical structures remain rigid and unintuitive, providing limited tactile feedback and posing challenges for human operators. Motivated by the dexterity and force feedback of human motion, we propose FreeTacMan, a human-ce…

Multi-Objective Neural Network Assisted Design Optimization of Soft Fin-Ray Grippers for Enhanced Grasping Performance
Ali Ghanizadeh, Ali Ahmadi, Arash Bahrami
https://arxiv.org/abs/2506.00494

Multi-Objective Neural Network Assisted Design Optimization of Soft Fin-Ray Grippers for Enhanced Grasping Performance
Soft Fin-Ray grippers can perform delicate and careful manipulation, which has caused notable attention in different fields. These grippers can handle objects of various forms and sizes safely. The internal structure of the Fin-Ray finger plays a significant role in its adaptability and grasping performance. However, modeling the non-linear grasp force and deformation behaviors for design purposes is challenging. Moreover, when the Fin-Ray finger becomes more rigid and capable of exerting highe…