Tootfinder

Learning to Predict Mobile Robot Stability in Off-Road Environments
Nathaniel Rose, Arif Ahmed, Emanuel Gutierrez-Cornejo, Parikshit Maini
https://arxiv.org/abs/2507.12731

Learning to Predict Mobile Robot Stability in Off-Road Environments
Navigating in off-road environments for wheeled mobile robots is challenging due to dynamic and rugged terrain. Traditional physics-based stability metrics, such as Static Stability Margin (SSM) or Zero Moment Point (ZMP) require knowledge of contact forces, terrain geometry, and the robot's precise center-of-mass that are difficult to measure accurately in real-world field conditions. In this work, we propose a learning-based approach to estimate robot platform stability directly from proprioc…

Stability analysis of the flow in a coflowing device
M. Rubio, S. Rodr\'iguez-Aparicio, M. G. Cabezas, J. M. Montanero, M. A. Herrada
https://arxiv.org/abs/2506.14292

Stability analysis of the flow in a coflowing device
We analyze the stability of the coflow configuration. The experiments and the global stability analysis show that the emitted jet always destabilizes before the tapering conical meniscus. This implies that the parameter conditions at which polydisperse dripping arises cannot be determined from the linear stability analysis of the steady jetting mode. Transient simulations show that the linear superposition of decaying eigenmodes triggered by an initial perturbation can lead to the jet breakup. …

Stability Analysis of the Newton-Raphson Controller for a Class of Differentially Flat Systems
Kaicheng Niu, Yorai Wardi, Chaouki T. Abdallah
https://arxiv.org/abs/2508.12694 ht…

Stability Analysis of the Newton-Raphson Controller for a Class of Differentially Flat Systems
The Newton-Raphson Controller, established on the output prediction and the Newton-Raphson algorithm, is shown to be effective in a variety of control applications. Although the stability condition of the controller for linear systems has already been established, such condition for nonlinear systems remains unexplored. In this paper, we study the stability of the Newton-Raphson controller for a class of differentially flat nonlinear systems in the context of output regulation and tracking cont…

Stability of lattice Boltzmann schemes for initial boundary value problems in raw formulation
Thomas Bellotti (EM2C)
https://arxiv.org/abs/2507.13108 https…

Stability of lattice Boltzmann schemes for initial boundary value problems in raw formulation
We study the stability of one-dimensional linear scalar lattice Boltzmann schemes for hyperbolic equations with respect to boundary data. Our approach is based on the original raw algorithm on several unknowns, thereby avoiding the need for a transformation into an equivalent scalar formulation-a challenging process in presence of boundaries. To address different behaviors exhibited by the numerical scheme, we introduce appropriate notions of strong stability. They account for the potential abs…

Asymptotically sharp stability of Sobolev inequalities on the Heisenberg group with dimension-dependent constants
Lu Chen, Guozhen Lu, Hanli Tang, Bohan Wang
https://arxiv.org/abs/2507.12725

Asymptotically sharp stability of Sobolev inequalities on the Heisenberg group with dimension-dependent constants
In this paper, we are concerned with the optimal asymptotic lower bound for the stability of Sobolev inequality on the Heisenberg group. We first establish the optimal local stability of Sobolev inequality on the CR sphere through bispherical harmonics and complicated orthogonality technique ( see Lemma 3.1). The loss of rearrangement inequality in the CR setting makes it impossible to use any rearrangement flow technique (either differential rearrangement flow or integral rearrangement flow) t…

How Pete Carroll is Delivering Stability to the Raiders https://www.si.com/nfl/raiders/las-vegas-pete-carroll-antonio-pierce-josh-mcdaniels-new-england-patriots

Statistical stability for systems semi-conjugate to pre-piecewise convex or expanding maps with countably many branches
Rafael Lucena
https://arxiv.org/abs/2508.11878 https://…

Statistical stability for systems semi-conjugate to pre-piecewise convex or expanding maps with countably many branches
We investigate the statistical stability of a class of dynamical systems that are semi-conjugate to pre-piecewise convex or expanding maps with countably many branches. These systems may exhibit complex features such as unbounded derivatives, discontinuities, or infinite Markov partitions, which pose significant challenges for stability analysis. Considering one-parameter families of transformations $\{F_δ\}_{δ\in [0,1)}$ with corresponding invariant measures $\{μ_δ\}_{δ\in [0,1)}$, we pro…

Geometric Stability Analysis for Differential Inclusions Governed by Maximally Monotone Operators
Hassan Saoud, Michel Th\'era, Minh N. Dao
https://arxiv.org/abs/2507.13000

Geometric Stability Analysis for Differential Inclusions Governed by Maximally Monotone Operators
This paper develops a geometric framework for the stability analysis of differential inclusions governed by maximally monotone operators. A key structural decomposition expresses the operator as the sum of a convexified limit mapping and a normal cone. However, the resulting dynamics are often difficult to analyze directly due to the absence of Lipschitz selections and boundedness. To overcome these challenges, we introduce a regularized system based on a fixed Lipschitz approximation of the co…

Assessing the stability of ultracompact spinning boson stars with nonlinear evolutions
Tamara Evstafyeva, Nils Siemonsen, William E. East
https://arxiv.org/abs/2508.11527 https:…

Assessing the stability of ultracompact spinning boson stars with nonlinear evolutions
We reinvestigate the stability properties of ultracompact spinning boson stars with a stable light ring using fully nonlinear 3+1 and 2+1 numerical relativity simulations and two different formulations of the Einstein equations. We find no evidence of an instability on timescales of $t μ\sim 10^4$ (in units of the scalar mass), when allowing the star to be perturbed either solely by discretization error or by imposing various types of perturbations to our initial data. We find that the initial…

In situ growth of a type-II ZnO/ZnS heterostructure:From stability to band-offset
P. R. A de Oliveira, I. Coelho, G. Felix, P. Venezuela, F. Stavale
https://arxiv.org/abs/2506.14499

In situ growth of a type-II ZnO/ZnS heterostructure:From stability to band-offset
We have successfully obtained a ZnO/ZnS heterostructure by heating a ZnS(001) single crystal in a controlled impurities-free oxygen atmosphere. Combining X-ray photoelectron spectroscopy (XPS), and atomic force microscopy (AFM), we explore the stability, electronic structure, and morphology of that interface. Our XPS measurements reveal a binding energy shift of the core-level peaks, indicating a band-bending effect due to the formation of a hybrid ZnO/ZnS interface. In addition, AFM measuremen…

Stability with minuscule structure for chromatic thresholds
Jaehoon Kim, Hong Liu, Chong Shangguan, Guanghui Wang, Zhuo Wu, Yisai Xue
https://arxiv.org/abs/2506.14748

Stability with minuscule structure for chromatic thresholds
The chromatic threshold $δ_χ(H)$ of a graph $H$ is the infimum of $d>0$ such that the chromatic number of every $n$-vertex $H$-free graph with minimum degree at least $d n$ is bounded by a constant depending only on $H$ and $d$. Allen, B{ö}ttcher, Griffiths, Kohayakawa, and Morris determined the chromatic threshold for every $H$; in particular, they showed that if $χ(H)=r\ge 3$, then $δ_χ(H) \in\{\frac{r-3}{r-2},~\frac{2 r-5}{2 r-3},~\frac{r-2}{r-1}\}$. While the chromatic thresholds have…

A Logic of Stability: Formalizing Similarity in Counterfactual Reasoning
Marta Esteves
https://arxiv.org/abs/2508.12502 https://arxiv.org/pdf/2508.12502

A Logic of Stability: Formalizing Similarity in Counterfactual Reasoning
Counterfactual reasoning is a foundational topic in both philosophical and logical studies \cite{Stalnaker1968-STAATO-5, Lewis1973-LEWC-2}. A pivotal component of counterfactual analysis is the concept of similarity between possible worlds \cite{CORR_A_2022, ESTEVA1997235, Lewis1979-LEWCDA, Makinson94, Pollock1976-POLTPW}. In this paper, we propose the introdutcion of a metric to quantify the degree of similarity between possible worlds, where two worlds are the more similar the longer they sha…

Attractor Stability of Boolean networks under noise
Byungjoon Min, Jeehye Choi, Reinhard Laubenbacher
https://arxiv.org/abs/2506.15581 https://

Attractor Stability of Boolean networks under noise
We study the impact of noise on attractor dynamics in Boolean networks, focusing on their stability and transition behaviors. By constructing attractor matrices based on single-node perturbations, we propose a framework to quantify attractor stability and identify dominant attractors. We find that attractors are more stable than predicted by basin sizes, showing the importance of dynamical structure in noisy environments. In addition, under global perturbations, basin sizes dictate long-term be…

A 3D porous MXene/PNIPAAm hydrogel composite with advanced degradation stability and control of electronic properties in air
Sitao Wang, Chen Jiao, Gerald Gerlach, Julia K\"orner
https://arxiv.org/abs/2508.11392

A 3D porous MXene/PNIPAAm hydrogel composite with advanced degradation stability and control of electronic properties in air
This study reports the fundamental investigation of a novel composite material consisting of MXene (Ti$_3$C$_2$T$_x$) and a stimulus-responsive hydrogel (Poly(N-isopropylacrylamide) - PNIPAAm). In contrast to previously reported integration of MXene and hydrogels, the material described here offers a tunable porous structure for volatile organic compound (VOC) sensing that maintains its stability and responsiveness in any kind of gaseous environment and in a dried state. Furthermore, its synthe…

Introduction to Stability and Turbulent Transport in Magnetic Confinement Fusion Plasmas
J. F. Parisi
https://arxiv.org/abs/2507.13144 https://

Introduction to Stability and Turbulent Transport in Magnetic Confinement Fusion Plasmas
This tutorial provides an accessible introduction to the principles of stability and turbulent transport in magnetic confinement fusion plasmas. Key concepts, models, and practical implications are discussed to guide researchers new to the field. Some challenges and opportunities are discussed.

Uniform stability for the matrix inverse Sturm-Liouville problems
Natalia P. Bondarenko
https://arxiv.org/abs/2506.15300 https://arxi…

Uniform stability for the matrix inverse Sturm-Liouville problems
In this paper, the uniform stability of the inverse spectral problem is proved for the matrix Sturm-Liouville operator on a finite interval. Namely, we describe the sets of spectral data, on which the inverse spectral mapping is bounded and, consequently, the uniform estimates hold for the differences of the matrix potentials and of the corresponding coefficients of the boundary conditions. Our approach is based on a constructive procedure for solving the inverse problem by developing ideas of …

Some isolation and stability results for Einstein manifolds
Letizia Branca, Klaus Kroencke
https://arxiv.org/abs/2506.13248 https://a…

Some isolation and stability results for Einstein manifolds
We prove new isolation and stability results for Einstein manifolds in a variety of settings. Imposing conditions on the Weyl tensor, we establish new stability criteria for compact, asymptotically hyperbolic (AH) and asymptotically locally Euclidean (ALE) manifolds and an isolation result in the latter setting. For compact Kähler and Sasaki $η$-Einstein manifolds, we provide similar results which involve the Bochner tensor and the contact Bochner tensor, respectively.

Variational Learning Finds Flatter Solutions at the Edge of Stability
Avrajit Ghosh, Bai Cong, Rio Yokota, Saiprasad Ravishankar, Rongrong Wang, Molei Tao, Mohammad Emtiyaz Khan, Thomas M\"ollenhoff
https://arxiv.org/abs/2506.12903

Variational Learning Finds Flatter Solutions at the Edge of Stability
Variational Learning (VL) has recently gained popularity for training deep neural networks and is competitive to standard learning methods. Part of its empirical success can be explained by theories such as PAC-Bayes bounds, minimum description length and marginal likelihood, but there are few tools to unravel the implicit regularization in play. Here, we analyze the implicit regularization of VL through the Edge of Stability (EoS) framework. EoS has previously been used to show that gradient d…

Completeness Stability of Quantum Measurements
Rakesh Saini, Jukka Kiukas, Daniel Burgarth, Alexei Gilchrist
https://arxiv.org/abs/2506.11539 https://

Completeness Stability of Quantum Measurements
We introduce a resource monotone, the completeness stability, to quantify the quality of quantum measurements within a resource-theoretic framework. By viewing a quantum measurement as a frame, the minimum eigenvalue of a frame operator emerges as a significant monotone. It captures bounds on estimation errors and the numerical stability of inverting the frame operator to calculate the optimal dual for state reconstruction. Maximizing this monotone identifies a well-characterized class of quant…

Linear stability of an oceanic front at finite Rossby number
Subhajit Kar, Roy Barkan, John R. Taylor
https://arxiv.org/abs/2507.13304 https://

Linear stability of an oceanic front at finite Rossby number
Submesoscale currents in the ocean's mixed layer (ML), consisting of fronts, eddies, and filaments, are characterized by order one Rossby (Ro) and Richardson (Ri) numbers. These currents play a crucial role in mediating vertical exchange between the surface and ocean interior and in facilitating cross-scale energy transfers. Despite a growing understanding of their generation mechanisms and energy pathways, two fundamental questions remain unresolved - how does a finite Ro modify the dynamics o…

Dark Count Rate Stability of JUNO 20-inch PMTs in Mass Testing
Min Li, Narongkiat Rodphai, Caimei Liu, Zhimin Wang, Zhaoyuan Peng, Jun Wang, Nikolay Anfimov, Denis Korablev, Tobias Lachenmaier, Alexander G. Olshevskiy, Zhonghua Qin, Tobias Sterr, Alexander Felix Tietzsch, Rong Zhao, Wei Wang, Kaile Wen, Bjoern Soenke Wonsak, Wan Xie, Meihang Xu, Yu Zhang

Dark Count Rate Stability of JUNO 20-inch PMTs in Mass Testing
The Jiangmen Underground Neutrino Observatory (JUNO) is an ambitious multipurpose neutrino experiment designed to determine the neutrino mass ordering, with an impressive energy resolution goal of at least 3% at 1 MeV. To achieve a photon detection coverage of approximately 75%, JUNO will utilize two types of 20-inch photomultiplier tubes (PMTs): the large PMT (LPMT) and the microchannel plate PMT (MCP-PMT). A significant concern in high-precision neutrino measurements is the dark count rate (D…

Transient-Stability-Aware Frequency Provision in IBR-Rich Grids via Information Gap Decision Theory and Deep Learning
Amin Masoumi, Mert Korkali
https://arxiv.org/abs/2507.13265

Transient-Stability-Aware Frequency Provision in IBR-Rich Grids via Information Gap Decision Theory and Deep Learning
This paper introduces a framework to address the critical loss of transient stability caused by reduced inertia in grids with high inverter-based resource (IBR) penetration. The proposed method integrates a predictive deep learning (DL) model with information gap decision theory (IGDT) to create a risk-averse dispatch strategy. By reformulating the conventional virtual inertia scheduling (VIS) problem, the framework uses early predictions of post-fault dynamics to proactively redispatch resourc…

🤹🏻‍♂️ One billion-year-old rules of protein stability revealed; could lead to faster drug and enzyme design
https://phys.org/news/2025-07-billion-year-protein-stability-revealed.html

One billion-year-old rules of protein stability revealed; could lead to faster drug and enzyme design
Proteins are life's molecular workhorses, doing everything from turning sunlight into food to fighting viruses. They are built from 20 different types of amino acid molecules, so even a small protein made of 60 amino acids in length can, in theory, be constructed in a quinquavigintillion (1078) different ways. That's about as many atoms as there are in the entire universe.

Imbalance in Balance: Online Concept Balancing in Generation Models
Yukai Shi, Jiarong Ou, Rui Chen, Haotian Yang, Jiahao Wang, Xin Tao, Pengfei Wan, Di Zhang, Kun Gai
https://arxiv.org/abs/2507.13345

Imbalance in Balance: Online Concept Balancing in Generation Models
In visual generation tasks, the responses and combinations of complex concepts often lack stability and are error-prone, which remains an under-explored area. In this paper, we attempt to explore the causal factors for poor concept responses through elaborately designed experiments. We also design a concept-wise equalization loss function (IMBA loss) to address this issue. Our proposed method is online, eliminating the need for offline dataset processing, and requires minimal code changes. In o…

[Social] Allostasis: Or, How I Learned To Stop Worrying and Love The Noise
Imran Khan
https://arxiv.org/abs/2508.12791 https://arxiv.org/pdf/2508.12791

[Social] Allostasis: Or, How I Learned To Stop Worrying and Love The Noise
The notion of homeostasis typically conceptualises biological and artificial systems as maintaining stability by resisting deviations caused by environmental and social perturbations. In contrast, (social) allostasis proposes that these systems can proactively leverage these very perturbations to reconfigure their regulatory parameters in anticipation of environmental demands, aligning with von Foerster's ``order through noise'' principle. This paper formulates a computational model of allostat…

‘America’s Sweethearts’ Reveals 400 Percent Raise for Cowboys Cheerleaders https://www.nytimes.com/2025/06/18/style/dallas-cowboys-cheerleaders-salary-americas-sweethearts.html

Conditioned stochastic stability of equilibrium states on uniformly hyperbolic sets
Bernat Bassols Cornudella, Matheus M. Castro
https://arxiv.org/abs/2506.15503

Conditioned stochastic stability of equilibrium states on uniformly hyperbolic sets
We establish conditioned stochastic stability of equilibrium states for Hölder potentials on uniformly hyperbolic sets.

SeamlessFlow: A Trainer Agent Isolation RL Framework Achieving Bubble-Free Pipelines via Tag Scheduling
Jinghui Wang, Shaojie Wang, Yinghan Cui, Xuxing Chen, Chao Wang, Xiaojiang Zhang, Minglei Zhang, Jiarong Zhang, Wenhao Zhuang, Yuchen Cao, Wankang Bao, Haimo Li, Zheng Lin, Huiming Wang, Haoyang Huang, Zongxian Feng, Zizheng Zhan, Ken Deng, Wen Xiang, Huaixi Tang, Kun Wu, Mengtong Li, Mengfei Xie, Junyi Peng, Haotian Zhang, Bin Chen, Bing Yu

SeamlessFlow: A Trainer Agent Isolation RL Framework Achieving Bubble-Free Pipelines via Tag Scheduling
We introduce SeamlessFlow, a server based reinforcement learning (RL) framework that addresses two core challenges in industrial scale RL: (1) decoupling RL training from the complex execution flow of agents; (2) maximizing GPU utilization with minimal idle time while preserving the stability and scalability required for large-scale deployments. First, SeamlessFlow introduces a data plane that decouples the RL trainer from diverse, complex agent implementations while sustaining high throughput.…

Enhance Stability of Network by Edge Anchor
Hongbo Qiu, Renjie Sun, Chen chen, Xiaoyang Wang
https://arxiv.org/abs/2507.11090 https://

Enhance Stability of Network by Edge Anchor
With the rapid growth of online social networks, strengthening their stability has emerged as a key research focus. This study aims to identify influential relationships that significantly impact community stability. In this paper, we introduce and explore the anchor trussness reinforcement problem to reinforce the overall user engagement of networks by anchoring some edges. Specifically, for a given graph $G$ and a budget $b$, we aim to identify $b$ edges whose anchoring maximizes the trussnes…

Minimal Stable Voting Rules
H\'ector Hermida-Rivera
https://arxiv.org/abs/2506.15323 https://arxiv.org/pdf/2506.15323

Minimal Stable Voting Rules
In this paper, I characterize minimal stable voting rules and minimal self-stable constitutions (i.e., pairs of voting rules) for societies in which only power matters. To do so, I first let players' preference profiles over voting rules satisfy four natural axioms commonly used in the analysis of power: non-dominance, anonymity, null player and swing player. I then provide simple notions of minimal stability and minimal self-stability, and show that the families of minimal stable voting rules …

The stability of long-range order in disordered systems: A generalized Ding-Zhuang argument
Yejia Chen, Jianwen Zhou, Ruifeng Liu, Hai-Jun Zhou
https://arxiv.org/abs/2507.11445

The stability of long-range order in disordered systems: A generalized Ding-Zhuang argument
The stability of long-range order against quenched disorder is a central problem in statistical mechanics. This paper develops a generalized framework extending the Ding-Zhuang method and integrated with the Pirogov-Sinai framework, establishing a systematic scheme for studying phase transitions of long-range order in disordered systems. We axiomatize the Ding-Zhuang approach into a theoretical framework consisting of the Peierls condition and a local symmetry condition. For systems in dimensio…

#Paradromics: Preclinical neural signal stability https://www.paradromics.com/blog/preclinical-neural-signal-stability "Patients want a device that serves th…

Preclinical Neural Signal Stability | Paradromics Blog
Animal testing results demonstrate long-term reliability of intercortical brain-computer Interface.

BRIDGES Lectures: G2 in action, and a mathematical theory of exceptions
Laurent Manivel
https://arxiv.org/abs/2508.12757 https://arxiv.org/pdf/2508.12757…

BRIDGES Lectures: G2 in action, and a mathematical theory of exceptions
The BRIDGES meeting in gauge theory, extremal structures, and stability was held in June 2024 at l'Institut d'Études Scientifiques de Cargèse in Corsica, organized by Daniele Faenzi, Eveline Legendre, Eric Loubeau, and Henrique Sá Earp. The first week was a summer school consisting of four independent but related lecture series by Oscar García-Prada, Spiro Karigiannis, Laurent Manivel, and Ruxandra Moraru. The present document consists of notes for the lecture series by Laurent Manivel on t…

Mathematical Modeling of Kelvin-Helmholtz Instability at Tangential Discontinuities in Partially Ionized Plasma: Application to Heliopause Dynamics
A. V. Titova, S. D. Korolkov, V. V. Izmodenov
https://arxiv.org/abs/2506.14343

Mathematical Modeling of Kelvin-Helmholtz Instability at Tangential Discontinuities in Partially Ionized Plasma: Application to Heliopause Dynamics
The stability of the heliopause, the tangential discontinuity separating the solar wind from the interstellar medium, is influenced by various processes, including the Kelvin-Helmholtz instability. This study investigates the role of charge exchange collisions between protons and hydrogen (H) atoms in reduction of the Kelvin-Helmholtz growth rate at the heliopause. Using a two-dimensional gasdynamic model with the inclusion of H atoms, we perform numerical simulations of the plasma flow near th…

Stability analysis of time-periodic shear flow generated by an oscillating density interface
Lima Biswas, Anirban Guha
https://arxiv.org/abs/2506.13893 htt…

Stability analysis of time-periodic shear flow generated by an oscillating density interface
We consider the conceptual two-layered oscillating tank of Inoue & Smyth (2009), which mimics the time-periodic parallel shear flow generated by low-frequency (e.g. semi-diurnal tides) and small-angle oscillations of the density interface. Such self-induced shear of an oscillating pycnocline may provide an alternate pathway to pycnocline turbulence and diapycnal mixing in addition to the turbulence and mixing driven by wind-induced shear of the surface mixed layer. We theoretically investigate …

Iran curbs internet access to ward off Israel’s cyberattacks https://therecord.media/iran-internet-outages-israel-conflict

Design and Reliability of a User Space Write-Ahead Log in Rust
Vitor K. F. Pellegatti, Gustavo M. D. Vieira
https://arxiv.org/abs/2507.13062 https://arxiv.…

Design and Reliability of a User Space Write-Ahead Log in Rust
Write-ahead logs (WALs) are a fundamental fault-tolerance technique found in many areas of computer science. WALs must be reliable while maintaining high performance, because all operations will be written to the WAL to ensure their stability. Without reliability a WAL is useless, because its utility is tied to its ability to recover data after a failure. In this paper we describe our experience creating a prototype user space WAL in Rust. We observed that Rust is easy to use, compact and has a…

Existence, uniqueness, regularity and stability of solutions to linear $X$-elliptic equations with measurable coefficients
Marco Picerni
https://arxiv.org/abs/2506.15409

Existence, uniqueness, regularity and stability of solutions to linear $X$-elliptic equations with measurable coefficients
We prove an existence and uniqueness result for solutions to linear $X$-elliptic equations with $L^1$ data and zero Dirichlet boundary conditions. Such solutions depend continuously on the datum. Moreover, we show that an improvement in the summability of the data yields a corresponding improvement in the summability of the solutions, in a manner analogous to the one that occurs in the case of uniformly elliptic equations.

A theory of Lending Protocols in DeFi
Massimo Bartoletti, Enrico Lipparini
https://arxiv.org/abs/2506.15295 https://arxiv.org/pdf/250…

A theory of Lending Protocols in DeFi
Lending protocols are one of the main applications of Decentralized Finance (DeFi), enabling crypto-assets loan markets with a total value estimated in the tens of billions of dollars. Unlike traditional lending systems, these protocols operate without relying on trusted authorities or off-chain enforcement mechanisms. To achieve key economic goals such as stability of the loan market, they devise instead trustless on-chain mechanisms, such as rewarding liquidators who repay the loans of under-…

Ideal-theoretic non-noetherianity of polynomial functors in positive characteristic
Karthik Ganapathy
https://arxiv.org/abs/2506.15134 https://

Ideal-theoretic non-noetherianity of polynomial functors in positive characteristic
A long-standing open problem in representation stability is whether every finitely generated commutative algebra in the category of strict polynomial functors satisfies the noetherian property. In this paper, we resolve this problem negatively over fields of positive characteristic using ideas from invariant theory. Specifically, we consider the algebra $P$ of polarizations of elementary symmetric polynomials inside the ring of all multisymmetric polynomials in $p \times \infty$ variables. We s…

Linear stability of Perelman's $\nu$-entropy of standard Einstein manifolds
Emilio A. Lauret, Alejandro Tolcachier
https://arxiv.org/abs/2506.12435 htt…

Linear stability of Perelman's $ν$-entropy of standard Einstein manifolds
Paul Schwahn recently exhibited 112 non-symmetric, connected, simply connected, compact Einstein manifolds that are stable with respect to the total scalar curvature functional restricted to the space of Riemannian metrics with constant scalar curvature and fixed volume. This stability follows from the inequality $λ_L > 2E$, where $λ_L$ denotes the smallest eigenvalue of the Lichnerowicz Laplacian on TT-tensors and $E$ is the corresponding Einstein factor. In this paper, we estimate the sma…

Second-Order Characterizations of Tilt Stability in Composite Optimization
Boris S. Mordukhovich, Peipei Tang, Chengjing Wang
https://arxiv.org/abs/2507.11253

Second-Order Characterizations of Tilt Stability in Composite Optimization
Tilt stability is a fundamental concept of variational analysis and optimization that plays a pivotal role in both theoretical issues and numerical computations. This paper investigates tilt stability of local minimizers for a general class of composite optimization problems in finite dimensions, where extended-real-valued objectives are compositions of parabolically regular and smooth functions. Under the weakest metric subregularity constraint qualification and other verifiable conditions, we…

Stability of Inverse Resonance Problem on the Half Line
Lung-Hui Chen
https://arxiv.org/abs/2508.11103 https://arxiv.org/pdf/2508.11103

Stability of Inverse Resonance Problem on the Half Line
We consider the inverse resonance problem in one-dimensional scattering theory. The scattering matrix consists of $2\times 2$ entries of meromorphic functions, which are quotients of certain Fourier transform. The resonances are expressed as the zeros of Fourier transform of wave field. For compactly-supported perturbation, we are able to quantitatively estimate the zeros and poles of each meromorphic entry. The size of potential support is connected to the zero distribution of scattered wave f…

The CSA releases Matter 1.4.2 to improve reliability, stability, and cross-platform coordination, like Wi-Fi-only commissioning to cut its Bluetooth dependency (Jennifer Pattison Tuohy/The Verge)
https://www.theverge.com/matter/757179/matter-1…

Matter’s latest update doubles down on stability and pushes the platforms to play better together
Updates to how Wi-Fi routers work in Matter, how devices connect to the network, and the addition of Wi-Fi commissioning arrive with the latest Matter spec.

Guaranteeing and Explaining Stability across Heterogeneous Load Balancing using Calculus Network Dynamics
Mengbang Zou, Yun Tang, Adolfo Perrusqu\'ia, Weisi Guo
https://arxiv.org/abs/2507.12892

Guaranteeing and Explaining Stability across Heterogeneous Load Balancing using Calculus Network Dynamics
Load balancing between base stations (BSs) allows BS capacity to be efficiently utilised and avoid outages. Currently, data-driven mechanisms strive to balance inter-BS load and reduce unnecessary handovers. The challenge is that over a large number of BSs, networks observe an oscillatory effect of load evolution that causes high inter-BS messaging. Without a calculus function that integrates network topology to describe the evolution of load states, current data-driven algorithms cannot explai…

Crosslisted article(s) found for math.FA. https://arxiv.org/list/math.FA/new
[1/1]:
- Statistical stability for systems semi-conjugate to pre-piecewise convex or expanding maps with c...
Rafael Lucena

Superconductivity with repulsion: a variational approach
Laura Fanfarillo, Yifu Cao, Chandan Setty, Sergio Caprara, Peter J. Hirschfeld
https://arxiv.org/abs/2506.13556

Superconductivity with repulsion: a variational approach
We revisit the stability of the superconducting state within mean-field theory in the presence of repulsive pairing interactions, focusing on multiband systems where such channels naturally arise. We show that, when repulsion is present, the self-consistent BCS solution appears as a saddle point of the conventional mean-field free energy, casting doubt on its physical stability. We show that this pathology is an artifact of using a non-variational functional. Recasting the problem with Bogoliub…

Optimisation of Activator Solutions for Geopolymer Synthesis: Thermochemical Stability, Sequencing, and Standardisation
Ramon Skane, Franca Jones, Arie van Riessen, Evan Jamieson, Xiao Sun, William D. A. Rickard
https://arxiv.org/abs/2506.12941

Optimisation of Activator Solutions for Geopolymer Synthesis: Thermochemical Stability, Sequencing, and Standardisation
Geopolymers present a sustainable alternative to conventional binders, however, their commercial viability is hindered by a lack of standardised methods for preparing stabile activator solutions; alkaline feedstocks critical to geopolymer synthesis. This study presents a combined experimental and modelling approach to evaluate the thermochemical stability, solubility constraints, and silica speciation behaviour of sodium silicate-based activators. Using quantitative 29Si NMR analysis, thermodyn…

Stability of compact actions and a result on divided differences
Carlos Gustavo Moreira, Nicolau C. Saldanha
https://arxiv.org/abs/2506.14446 https://

Stability of compact actions and a result on divided differences
We study smooth locally free actions of ${\mathbb R}^n$ on manifolds $M$ of dimension $n+1$. We are interested in compact orbits and in compact actions: actions with all orbits compact. Given a compact orbit in a neighborhood of compact orbits, we give necessary and sufficient conditions for the existence of a $C^k$ perturbation with noncompact orbits in the given neighborhood. We prove that if such a perturbation exists it can be assumed to differ from the original action only in a smaller nei…

Replaced article(s) found for cond-mat.quant-gas. https://arxiv.org/list/cond-mat.quant-gas/new
[1/1]:
- Stability of quasicrystalline ultracold fermions to dipolar interactions
Paolo Molignini

Learning to Move in Rhythm: Task-Conditioned Motion Policies with Orbital Stability Guarantees
Maximilian St\"olzle, T. Konstantin Rusch, Zach J. Patterson, Rodrigo P\'erez-Dattari, Francesco Stella, Josie Hughes, Cosimo Della Santina, Daniela Rus
https://arxiv.org/abs/2507.10602

Learning to Move in Rhythm: Task-Conditioned Motion Policies with Orbital Stability Guarantees
Learning from demonstration provides a sample-efficient approach to acquiring complex behaviors, enabling robots to move robustly, compliantly, and with fluidity. In this context, Dynamic Motion Primitives offer built - in stability and robustness to disturbances but often struggle to capture complex periodic behaviors. Moreover, they are limited in their ability to interpolate between different tasks. These shortcomings substantially narrow their applicability, excluding a wide class of practi…

Mixed platinum and zirconia powder as electrocatalyst for hydrogen evolution and oxidation reaction
Simone Minelli, Manuel Iozzia, Claudio Piazzoni, Alberto Vertova, Cristina Lenardi, Alessandro Minguzzi
https://arxiv.org/abs/2506.14819

Mixed platinum and zirconia powder as electrocatalyst for hydrogen evolution and oxidation reaction
The development of efficient and cost-effective bifunctional electrocatalysts for hydrogen-related technologies is crucial for the transition to sustainable energy. In this work, we present Pt@ZrO2 as a high-performance ceramic-based electrocatalyst for the hydrogen evolution reaction (HER) and hydrogen oxidation reaction (HOR), demonstrating superior activity and stability in alkaline conditions. Compared to Pd@ZrO2, previously investigated in our earlier work, Pt@ZrO2 exhibits significantly l…

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…

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[3/3]:
- Stability and decay of subradiant patterns in a quantum gas with photon-mediated interactions
Baumg\"artner, Hertlein, Schmit, Dreon, M\'aximo, Li, Morigi, Donner

Replaced article(s) found for math.LO. https://arxiv.org/list/math.LO/new
[1/1]:
Higher arity stability and the functional order property
https://

Spectral extremal problems for degenerate graphs
Jiadong Wu, Liying Kang, Zhenyu Ni
https://arxiv.org/abs/2507.12014 https://arxiv.or…

Spectral extremal problems for degenerate graphs
A family of graphs is called degenerate if it contains at least one bipartite graph. In this paper, we investigate the spectral extremal problems for a degenerate family of graphs $\mathcal{F}$. By employing covering and independent covering of graphs, we establish a spectral stability result for $\mathcal{F}$. Using this stability result, we prove two general theorems that characterize spectral extremal graphs for a broad class of graph families $\mathcal{F}$ and imply several new and known re…

Curve semistable Higgs bundles and smooth projective varieties whose canonical bundle is ample
Armando Capasso
https://arxiv.org/abs/2508.12062 https://arx…

Curve semistable Higgs bundles and smooth projective varieties whose canonical bundle is ample
Considering the so-called Simpson system on smooth projective varieties, defined over an algebraically closed field of characteristic $0$, whose canonical bundle is ample, I prove the stability of this Higgs bundle. From this I obtain another proof of the Guggenheimer-Yau inequality. Where the equality holds, I prove that the discriminant class of the Simpson system vanishes. This follows from the study of the relations between ampleness and numerically nefness for Higgs bundles which "feel" th…

Voltage Stability of Inverter-Based Systems: Impact of Parameters and Irrelevance of Line Dynamics
Sushobhan Chatterjee, Sijia Geng
https://arxiv.org/abs/2506.13341

Voltage Stability of Inverter-Based Systems: Impact of Parameters and Irrelevance of Line Dynamics
This paper investigates voltage stability in inverter-based power systems concerning fold and saddle-node bifurcations. An analytical expression is derived for the sensitivity of the stability margin using the normal vector to the bifurcation hypersurface. Such information enables efficient identification of effective control parameters in mitigating voltage instability. Comprehensive analysis reveals that reactive loading setpoint and current controller's feedforward gain are the most influent…

Refined stability estimates for mixed problems by exploiting semi norm arguments
Nicolas Gauger, Alexander Linke, Christian Merdon
https://arxiv.org/abs/2506.11566

Refined stability estimates for mixed problems by exploiting semi norm arguments
Refined stability estimates are derived for classical mixed problems. The novel emphasis is on the importance of semi norms on data functionals, inspired by recent progress on pressure-robust discretizations for the incompressible Navier--Stokes equations. In fact, kernels of these semi norms are shown to be connected to physical regimes in applications and are related to some well-known consistency errors in classical discretizations of mixed problems. Consequently, significantly sharper stabi…

Upper bound for the stability of Boolean networks
Venkata Sai Narayana Bavisetty, Matthew Wheeler, Reinhard Laubenbacher, Claus Kadelka
https://arxiv.org/abs/2506.12310

Upper bound for the stability of Boolean networks
Boolean networks, inspired by gene regulatory networks, were developed to understand the complex behaviors observed in biological systems, with network attractors corresponding to biological phenotypes or cell types. In this article, we present a proof for a conjecture by Williadsen, Triesch and Wiles about upper bounds for the stability of basins of attraction in Boolean networks. We further extend this result from a single basin of attraction to the entire network. Specifically, we demonstrat…

Mode stability for self-similar blowup of slightly supercritical NLS: I. low-energy spectrum
Zexing Li
https://arxiv.org/abs/2507.11248 https://

Mode stability for self-similar blowup of slightly supercritical NLS: I. low-energy spectrum
We consider self-similar blowup for (NLS) $i\partial_t u + Δu + u|u|^{p-1} = 0$ in $d \ge 1$ and slightly mass-supercritical range $0 < s_c := \frac d2 - \frac{2}{p-1} \ll 1$. The existence and stability of such dynamics [Merle-Raphaël-Szeftel, 2010] and construction of suitable profiles [Bahri-Martel-Raphaël, 2021] lead to the question of asymptotic stability. Based on our previous work [Li, 2023], this nonlinear problem is reduced to linear mode stability of the matrix linearized…

Generalized quantum Chernoff bound
Kun Fang
https://arxiv.org/abs/2508.12889 https://arxiv.org/pdf/2508.12889

Generalized quantum Chernoff bound
We establish a generalized quantum Chernoff bound for the discrimination of multiple sets of quantum states, thereby extending the classical and quantum Chernoff bounds to the general setting of composite and correlated quantum hypotheses. Specifically, we consider the task of distinguishing whether a quantum system is prepared in a state from one of several convex, compact sets of quantum states, each of which may exhibit arbitrary correlations. Assuming their stability under tensor product, w…

Robust output stability and input-to-output stability based on output dissipation
Antoine Chaillet (IUF, L2S), Iasson Karafyllis (NTUA), Yuan Wang
https://arxiv.org/abs/2506.10479

Robust output stability and input-to-output stability based on output dissipation
LaSalle techniques to ensure the convergence of a given output usually fail at guaranteeing uniform convergence time, which induces robustness issues. Recent works have provided extra conditions under which a Lyapunov function that dissipates in terms of only the output guarantees this uniformity. In this paper, we extend these results to systems with inputs in order to establish either robust stability or input-to-output stability. In addition, we show that a recent relaxation of Barb__lat's l…

Devitrification and Melting Dynamics in Vapor Deposited Water Ice
Fabio Leoni, Fausto Martelli, John Russo
https://arxiv.org/abs/2506.15433 https://…

Devitrification and Melting Dynamics in Vapor Deposited Water Ice
The equilibration dynamics of ultrastable glasses subjected to heating protocols has attracted recent experimental and theoretical interest. With simulations of the mW water model, we investigate the devitrification and melting dynamics of both conventional quenched (QG) and vapor deposited (DG) amorphous ices under controlled heating ramps. By developing an algorithm to reconstruct hydrogen-bond networks, we show that bond ring statistics correlates with the structural stability of the glasses…

Branch, or Layer? Zeroth-Order Optimization for Continual Learning of Vision-Language Models
Ziwei Liu, Borui Kang, Wei Li, Hangjie Yuan, Yanbing Yang, Wenbin Li, Jun Luo, Yifan Zhu, Tao Feng
https://arxiv.org/abs/2506.12409

Branch, or Layer? Zeroth-Order Optimization for Continual Learning of Vision-Language Models
Continual learning in vision-language models (VLMs) faces critical challenges in balancing parameter efficiency, memory consumption, and optimization stability. While First-Order (FO) optimization (e.g., SGD) dominate current approaches, their deterministic gradients often trap models in suboptimal local minima and incur substantial memory overhead. This paper pioneers a systematic exploration of Zeroth-Order (ZO) optimization for vision-language continual learning (VLCL). We first identify the…

Self-Equivalent Voting Rules
H\'ector Hermida-Rivera
https://arxiv.org/abs/2506.15310 https://arxiv.org/pdf/2506.15310

Self-Equivalent Voting Rules
In this paper, I introduce a novel stability axiom for stochastic voting rules, called self-equivalence, by which a society considering whether to replace its voting rule using itself will choose not do so. I then show that under the unrestricted strict preference domain, a voting rule satisfying the democratic principles of anonymity, optimality, monotonicity, and neutrality is self-equivalent if and only if it assigns to every voter equal probability of being a dictator (i.e., uniform random …

Projective functions
Laurence Carassus, Massinissa Ferhoune
https://arxiv.org/abs/2507.12605 https://arxiv.org/pdf/2507.12605

Projective functions
We study projective functions. We prove that projective functions generalise lower and upper-semianalytic ones while being stable by composition and difference. We show that the class of projective functions is closed under sums, differences, products, finite suprema and infima, sections and compositions. Assuming the set-theoretical axiom of Projective Determinacy, we also prove measurable selection results, stability under integration, and the existence of $ε$-optimal selectors. Finally, we …

The SND@LHC neutron shielding
LHC Collaboration
https://arxiv.org/abs/2508.10964 https://arxiv.org/pdf/2508.10964…

The SND@LHC neutron shielding
The design and construction of a neutron shielding for the SND@LHC detector, which utilizes a combination of plexiglass and borated polyethylene, is presented. FLUKA simulations were employed to optimize the shielding configuration and assess its efficiency. Results indicate a significant reduction in neutron flux, ensuring the long-term stability of the emulsion films used in the target of the SND@LHC detector.

BRIDGES Lectures: Flows of geometric structures, especially $\mathrm{G}_2$-structures
Spiro Karigiannis
https://arxiv.org/abs/2508.11604 https://arxiv.org/…

BRIDGES Lectures: Flows of geometric structures, especially $\mathrm{G}_2$-structures
The BRIDGES meeting in gauge theory, extremal structures, and stability was held June 2024 at l'Institut d'Études Scientifiques de Cargèse in Corsica, organized by Daniele Faenzi, Eveline Legendre, Eric Loubeau, and Henrique Sá Earp. The first week was a summer school consisting of four independent but related lecture series by Oscar García Prada, Spiro Karigiannis, Laurent Manivel, and Ruxandra Moraru. The present document consists of notes for the lecture series by Spiro Karigiannis on "F…

Replaced article(s) found for cond-mat.quant-gas. https://arxiv.org/list/cond-mat.quant-gas/new
[1/1]:
- Stability and decay of subradiant patterns in a quantum gas with photon-mediated interactions
Baumg\"artner, Hertlein, Schmit, Dreon, M\'aximo, L…

Mechanism and Stability of Li-Dynamics in Amorphous Li-Ti-P-S Based Mixed Ionic-Electronic Conductor
Selva Chandrasekaran Selvaraj, Daiwei Wang, Donghai Wang, Anh T. Ngo
https://arxiv.org/abs/2506.11199

Mechanism and Stability of Li-Dynamics in Amorphous Li-Ti-P-S Based Mixed Ionic-Electronic Conductor
Mixed ionic-electronic conductor (MIEC) exhibit both high ionic and electronic conductivity to improve the battery performance. In this work, we investigate the mechanism and stability of transport channels in recently developed our MIEC material, amorphous Ti-doped lithium phosphorus sulfide (LPS), using molecular dynamics (MD) simulations with a 99\% accurate machine-learning force field (MLFF) trained on \textit{ab-initio} MD data. The achieved MLFF helps efficient large-scale MD simulations…

Radii of spherical timelike geodesics in Kerr-Newman black holes
Wei Huang, Jun-Xu Chen, Jia-Hui Huang
https://arxiv.org/abs/2506.11473 https://

Radii of spherical timelike geodesics in Kerr-Newman black holes
The existence, radii and radial stability of the equatorial and non-equatorial (particularly, the polar) spherical orbits are discussed for particles with different conserved energy. The radii of these orbits generally are solutions of a quintic polynomial equation with four dimensionless parameters. For the case with $γ=1$, we obtain the analytical expressions for the radii of the polar, equatorial and general orbits. The radial stability of the orbits outside the event horizon is also discus…

Stability and Performance of Online Feedback Optimization for Distribution Grid Flexibility
Florian Klein-Helmkamp, Tina M\"ollemann, Irina Zettl, Andreas Ulbig
https://arxiv.org/abs/2506.13280

Stability and Performance of Online Feedback Optimization for Distribution Grid Flexibility
The integration of distributed energy resources (DERs) into sub-transmission systems has enabled new opportunities for flexibility provision in ancillary services such as frequency and voltage support, as well as congestion management. This paper investigates the stability and performance of Online Feedback Optimization (OFO) controllers in ensuring reliable flexibility provision. A hierarchical control architecture is proposed, emphasizing safe transitions between system states within the Feas…

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum
Zexing Li
https://arxiv.org/abs/2507.11259 https://

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum
In continuation of the study of the companion work, we prove the high-energy mode stability for linearized operator around self-similar profiles in [Bahri-Martel-Raphaël, 2021] for slightly mass-supercritical NLS in $1 \le d \le 10$. This concludes the asymptotic stability of such self-similar blowup, and answers the question from [Bahri-Martel-Raphaël, 2021] and [Merle-Raphaël-Szeftel, 2010]. As a byproduct, we characterize the spectrum for linearized operator around mass-critical ground st…

Stability conditions on surfaces and contractions of curves
Nicol\'as Vilches
https://arxiv.org/abs/2508.07019 https://arxiv.org/pdf/2508.07019

Stability conditions on surfaces and contractions of curves
We study Bridgeland stability conditions on smooth surfaces arising from birational morphisms $S \to T$ to a singular surface. Assuming that $T$ has only ADE singularities or certain cyclic quotient singularities, we produce pre-stability conditions on $S$ whose central charges depend on the pullback of an ample divisor on $T$. Moreover, we prove the support property for the cyclic quotient case (including the $A_n$ singularities). These stability conditions arise as limits of the Arcara-Bertra…

Mixed Finite element method for stress gradient elasticity
Ting Lin, Shudan Tian
https://arxiv.org/abs/2506.13041 https://arxiv.org/p…

Mixed Finite element method for stress gradient elasticity
This paper develops stable finite element pairs for the linear stress gradient elasticity model, overcoming classical elasticity's limitations in capturing size effects. We analyze mesh conditions to establish parameter-robust error estimates for the proposed pairs, achieving unconditional stability for finite elements with higher vertex continuity and conditional stability for Continuous Galerkin-Discontinuous Galerkin (CG-DG) pairs when no interior vertex has edges lying on three or fewer lin…

A simple and efficient second-order immersed-boundary method for the incompressible Navier--Stokes equations
Paolo Luchini, Davide Gatti, Alessandro Chiarini, Federica Gattere, Marco Atzori, Maurizio Quadrio
https://arxiv.org/abs/2506.14328

A simple and efficient second-order immersed-boundary method for the incompressible Navier--Stokes equations
An immersed-boundary method for the incompressible Navier--Stokes equations is presented. It employs discrete forcing for a sharp discrimination of the solid-fluid interface, and achieves second-order accuracy, demonstrated in examples with highly complex three-dimensional geometries. The method is implicit, meaning that the point in the solid which is nearest to the interface is accounted for implicitly, which benefits stability and convergence properties; the correction is also implicit in ti…

Long run control of nonhomogeneous Markov processes
{\L}ukasz Stettner
https://arxiv.org/abs/2506.15542 https://arxiv.org/pdf/2506.15…

Long run control of nonhomogeneous Markov processes
In the paper average reward per unit time and average risk sensitive reward functionals are considered for controlled nonhomogeneous Markov processes. Existence of solutions to suitable Bellman equations is shown. Continuity of the value functions with respect to risk parameter is also proved. Finally stability of functionals with respect to pointwise convergence of Markov controls is studied.

Binary Self-Selective Voting Rules
H\'ector Hermida-Rivera, Toygar T. Kerman
https://arxiv.org/abs/2506.15265 https://arxiv.org/p…

Binary Self-Selective Voting Rules
This paper introduces a novel binary stability property for voting rules-called binary self-selectivity-by which a society considering whether to replace its voting rule using itself in pairwise elections will choose not to do so. In Theorem 1, we show that a neutral voting rule is binary self-selective if and only if it is universally self-selective. We then use this equivalence to show, in Corollary 1, that under the unrestricted strict preference domain, a unanimous and neutral voting rule i…

Sharp Stability of Global Compactness on the Heisenberg Group
Hua Chen, Yun-lu Fan, Xin Liao
https://arxiv.org/abs/2506.11404 https://

Sharp Stability of Global Compactness on the Heisenberg Group
In this paper, we establish a sharp stability inequality on the Heisenberg group for functions that are close to the sum of m weakly interacting Jerison-Lee bubbles. As a consequence, we obtain a sharp quantitative stability of global compactness for non-negative functions on Heisenberg group.

Input-to-state stability-based chemical reaction networks composition for molecular computations
Renlei Jiang, Yuzhen Fan, Di Fan, Chuanhou Gao, Denis Dochain
https://arxiv.org/abs/2506.12056

Input-to-state stability-based chemical reaction networks composition for molecular computations
Molecular computation based on chemical reaction networks (CRNs) has emerged as a promising paradigm for designing programmable biochemical systems. However, the implementation of complex computations still requires excessively large and intricate network structures, largely due to the limited understanding of composability, that is, how multiple subsystems can be coupled while preserving computational functionality. Existing composability frameworks primarily focus on rate-independent CRNs, wh…

A Coordination-Based Model for the Prediction of Surface Energies and the Shape of Metal Particles
Shyama Charan Mandal, Frank Abild-Pedersen
https://arxiv.org/abs/2506.15144

A Coordination-Based Model for the Prediction of Surface Energies and the Shape of Metal Particles
Surface energies of metal-based systems are important for determining the Wulff-constructed shapes of metal nanoparticles and understanding the stability. We have developed a coordination number-based model to predict the total energy of metal-based systems across a wide range of configurations. Our model has been tested against Density Functional Theory (DFT) calculations for late transition metals. This method enables on-the-fly surface energy predictions and allows for the Wulff construction…

On K-stability of Fano's last Fanos
Ivan Cheltsov, DongSeon Hwang, Alex K\"uronya, Antonio Laface, Fr\'ed\'eric Mangolte, Alex Massarenti, Jihun Park, Junyan Zhao
https://arxiv.org/abs/2507.08528

On K-stability of Fano's last Fanos
We study K-stability of smooth Fano threefolds of Picard rank $2$ and degree $22$ which can be obtained by blowing up a smooth complete intersection of two quadrics in $\mathbb{P}^5$ along a conic. We also describe the automorphism groups of these threefolds.

Revealing the Breakdown Mechanism and Heat Dissipation in Few-Layered semimetallic PtSe2
Bubunu Biswal, Abinash Tripathy, Renu Yadav, Abhishek Misra
https://arxiv.org/abs/2506.15593

Revealing the Breakdown Mechanism and Heat Dissipation in Few-Layered semimetallic PtSe2
Platinum diselenide (PtSe2) is an emerging two-dimensional (2D) transition metal dichalcogenide known for its excellent electrical and optical properties, along with remarkable air stability. For PtSe2-based electronic devices, understanding high-field breakdown and heat dissipation is crucial for designing high-performance and energy-efficient systems operating under extreme conditions. In this work, we investigate the breakdown mechanisms of semimetallic PtSe2 at both low and room temperature…

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
Wasilij Barsukow, Christian Klingenberg, Lisa Lechner, Jan Nordstr\"om, Sigrun Ortleb, Hendrik Ranocha
https://arxiv.org/abs/2507.11068

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
The Active Flux method is a numerical method for conservation laws using a combination of cell averages and point values, based on ideas from finite volumes and finite differences. This unusual mix has been shown to work well in many situations. We expand the theoretical justifications of the Active Flux method by analyzing it from the point of view of summation-by-parts (SBP) operators, which are routinely used to analyze finite difference, finite volume, and finite element schemes. We show th…

Pairing particles into holonomies
Vera Neef, Matthias Heinrich, Tom A. W. Wolterink, Alexander Szameit
https://arxiv.org/abs/2506.13442 https://

Pairing particles into holonomies
Holonomies are of great interest to quantum computation and simulation. The geometrical nature of these entities offers increased stability to quantum gates. Furthermore, symmetries of particle physics are naturally reflected in holonomies, making them ideally suited for quantum simulation of quantum chromodynamics and grand unified theories. Yet, practically designing quantum holonomies with the required properties and scale is challenging. Here, we construct a new class of holonomies by incre…

A non-linear damping structure and global stability of wave-Klein-Gordon coupled system in $\RR^{3 1}$
Yue Ma, Weidong Zhang
https://arxiv.org/abs/2507.12285

A non-linear damping structure and global stability of wave-Klein-Gordon coupled system in $\RR^{3+1}$
This paper establishes the global existence of solutions for a class of wave-Klein-Gordon coupled systems with specific nonlinearities in 3+1-dimensional Minkowski spacetime. The study demonstrates that imposing certain constraints on the coefficients of these specific nonlinear terms induces a damping effect within the system, which is crucial for proving the global existence of solutions. The proof is conducted within the framework of a bootstrap argument, primarily employing the hyperboloida…

Two-sided Riemannian optimization model order reduction for linear systems with quadratic outputs
Xiaolong Wang, Chenglong Liu, Tongtu Tian
https://arxiv.org/abs/2508.12110 http…

Two-sided Riemannian optimization model order reduction for linear systems with quadratic outputs
This paper investigates structure-preserving $H_2$-optimal model order reduction (MOR) for linear systems with quadratic outputs. Within a Petrov-Galerkin projection framework, the $H_2$-optimal MOR problem is first formulated as an optimization problem on the Grassmann manifold, for which a corresponding bivariable alternating optimization algorithm is proposed. Furthermore, to explicitly guarantee the asymptotic stability of the reduced-order model, a second approach is introduced by imposing…

Managing Risks from Large Digital Loads Using Coordinated Grid-Forming Storage Network
Soumya Kundu, Kaustav Chatterjee, Ramij R. Hossain, Sai Pushpak Nandanoori, Veronica Adetola
https://arxiv.org/abs/2508.11080

Managing Risks from Large Digital Loads Using Coordinated Grid-Forming Storage Network
Anticipated rapid growth of large digital load, driven by artificial intelligence (AI) data centers, is poised to increase uncertainty and large fluctuations in consumption, threatening the stability, reliability, and security of the energy infrastructure. Conventional measures taken by grid planners and operators to ensure stable and reliable integration of new resources are either cost-prohibitive (e.g., transmission upgrades) or ill-equipped (e.g., generation control) to resolve the unique c…

Towards High-Efficiency Solar Cells: Insights into AsNCa 3 Antiperovskite as Active Layer
M. Irfan, B. D. Aparicio-Huacarpuma, C. M. de Oliveira Bastos, M. J. Piotrowski, C. R. C. R\^ego, D. Guedes-Sobrinho, R. Besse, A. M. Almeida Silva, Alexandre C. Dias, L. A. Ribeiro Jr
https://arxiv.org/abs/2506.15403

Towards High-Efficiency Solar Cells: Insights into AsNCa 3 Antiperovskite as Active Layer
Advances in photovoltaic technology are a viable route to contribute to cleaner and more sustainable energy solutions, placing perovskite-based materials among the best candidates for solar energy conversion. However, some challenges must be addressed to enhance their performance and stability. Herein, we report an investigation of the AsNCa3 antiperovskite system for its potential in photovoltaic devices. We consider eight distinct crystalline phases, their structural parameters, dynamical sta…

A Preliminary Study on the Dimensional Stability Classification of Polynomial Spline Spaces over T-meshes
Bingru Huang, Falai Chen
https://arxiv.org/abs/2508.06217 https://

A Preliminary Study on the Dimensional Stability Classification of Polynomial Spline Spaces over T-meshes
This paper introduces the concept of dimensional stability for spline spaces over T-meshes, providing the first mathematical definition and a preliminary classification framework. We define dimensional stability as an invariant within the structurally isomorphic class, contingent on the rank stability of the conformality matrix. Absolute stability is proposed via structurally similar maps to address topological and order structures. Through the $k$-partition decomposition of T-connected compone…

Feedback Linearization for Replicator Dynamics: A Control Framework for Evolutionary Game Convergence
Adil Faisal
https://arxiv.org/abs/2508.12583 https://…

Feedback Linearization for Replicator Dynamics: A Control Framework for Evolutionary Game Convergence
This paper demonstrates the first application of feedback linearization to replicator dynamics, driving the evolution of non-convergent evolutionary games to systems with guaranteed global asymptotic stability.

On the Control of Solutions of a Viscoelastic Plate Problem with a Frictional Damping Term
Bilel Madjour, Amel Boudiaf
https://arxiv.org/abs/2506.14908 htt…

On the Control of Solutions of a Viscoelastic Plate Problem with a Frictional Damping Term
In this article, we study the stability of solutions to a nonlinear viscoelastic plate problem with frictional damping of a memory on a part of the boundary, and a logarithmic source in a bounded domain $Ω\subset \mathbb{R}^2.$ In this problem the relaxation function $r$ satisfies $r^{\prime}\left( t\right)\leq -h\left( t\right) \mathcal{G}\left( r\left( t\right) \right)$ for all $t\geq 0$, where $h$ is a nonincreasing positive function. This work extends previous works with viscoelastic plate…

Network-Independent Incremental Passivity Conditions for Grid-Forming Inverter Control
Jared Miller, Maitraya Avadhut Desai, Xiuqiang He, Roy S. Smith, Gabriela Hug
https://arxiv.org/abs/2506.14469

Network-Independent Incremental Passivity Conditions for Grid-Forming Inverter Control
Grid-forming inverters control the power transfer between the AC and DC sides of an electrical grid while maintaining the frequency and voltage of the AC side. This paper focuses on ensuring large-signal stability of an electrical grid with inverter-interfaced renewable sources. We prove that the Hybrid-Angle Control (HAC) scheme for grid-forming inverters can exhibit incremental passivity properties between current and voltage at both the AC and DC ports. This incremental passivity can be cert…

Tilt Stability for Nonlinear Programs under Relaxed Constant Rank Constraint Qualification
Nguyen Huy Chieu, Nguyen Thi Quynh Trang, Nguyen Thi Hai Yen
https://arxiv.org/abs/2508.06927

Tilt Stability for Nonlinear Programs under Relaxed Constant Rank Constraint Qualification
This paper investigates the tilt stability of local minimizers for nonlinear programs under the relaxed constant rank constraint qualification in finite dimensions. By employing a neighborhood primal-dual approach and extending calculus rules for subgradient graphical derivative, we obtain some pointbased characterizations of tilt-stable local minimizers along with an explicit formula for calculating the exact bound of tilt stability. These results extend the corresponding ones of H. Gfrerer an…

Boundary Feedback and Observer Synthesis for a Class of Nonlinear Parabolic--Elliptic PDE Systems
Kamal Fenza, Moussa Labbadi, Mohamed Ouzahra
https://arxiv.org/abs/2507.12615

Boundary Feedback and Observer Synthesis for a Class of Nonlinear Parabolic--Elliptic PDE Systems
This paper investigates the stabilization of a coupled system comprising a parabolic PDE and an elliptic PDE with nonlinear terms. A rigorous backstepping design provides an explicit boundary control law and exponentially convergent observers from partial boundary measurements. Several theorems ensure exponential stability and well-posedness of the nonlinear closed-loop system.

Algorithmic Approaches to Enhance Safety in Autonomous Vehicles: Minimizing Lane Changes and Merging
Seyed Moein Abtahi, Akramul Azim
https://arxiv.org/abs/2506.15026

Algorithmic Approaches to Enhance Safety in Autonomous Vehicles: Minimizing Lane Changes and Merging
The rapid advancements in autonomous vehicle (AV) technology promise enhanced safety and operational efficiency. However, frequent lane changes and merging maneuvers continue to pose significant safety risks and disrupt traffic flow. This paper introduces the Minimizing Lane Change Algorithm (MLCA), a state-machine-based approach designed to reduce unnecessary lane changes, thereby enhancing both traffic safety and efficiency. The MLCA algorithm prioritizes maintaining lane stability unless saf…

A toy model for frequency cascade in the nonlinear Schrodinger equation
R\'emi Carles (IRMAR), Erwan Faou (Inria, IRMAR, MINGUS)
https://arxiv.org/abs/2506.15226

A toy model for frequency cascade in the nonlinear Schrodinger equation
We present an elementary approach to observe frequency cascade on forced nonlinear Schr{ö}dinger equations. The forcing term consists of a constant term, perturbed by a modulated Gaussian well. Algebraic computations provide an explicit frequency cascade when time and space derivatives are discarded from the nonlinear Schr{ö}dinger equation. We provide stability results, showing that when derivatives are incorporated in the model, the initial algebraic solution may be little affected, possibl…

A Generalized Stability Analysis Method with Dynamic Phasors for LV AC Microgrids
B\"ulent Da\u{g}
https://arxiv.org/abs/2507.08383 https://

A Generalized Stability Analysis Method with Dynamic Phasors for LV AC Microgrids
Representation of inductive coupling lines with conventional static phasors is the main reason of inadequacy of the existing phasors based simplified stability analysis methods for microgrids with inductive coupling lines. In the literature, dynamic phasors have been proposed for the dynamic modelling of inductive lines to conserve the simplified structure of the analysis method. In this study a generalized stability analysis method for LV AC microgrids, composed of droop controlled inverters, …

Stability of flat-core pinned p-elasticae
Tatsuya Miura, Kensuke Yoshizawa
https://arxiv.org/abs/2508.10314 https://arxiv.org/pdf/2508.10314

Stability of flat-core pinned p-elasticae
We classify the stability of flat-core $p$-elasticae in $\mathbf{R}^d$ subject to the pinned boundary condition. Together with previous work, this completes the classification of stable pinned $p$-elasticae in $\mathbf{R}^d$ for all $p\in(1,\infty)$ and $d\geq2$.