Tootfinder

trec_web: TREC WT10g (2003)
A web graph network originally constructed in 2003 as a testbed for information-retrieval techniques, including web search engines. Distributed by University of Glasgow.
This network has 1601787 nodes and 8063026 edges.
Tags: Informational, Web graph, Unweighted
https://networks.skewed.de/net…

add_health: Adolescent health (ADD HEALTH) (1994)
A directed network of friendships obtained through a social survey of high school students in 1994. The ADD HEALTH data are constructed from the in-school questionnaire; 90,118 students representing 84 communities took this survey in 1994-95. Some communities had only one school; others had two. Where there are two schools in a community students from one school were allowed to name friends in the other, the "sister school".…

Constructing Quantum Many-Body Scars from Hilbert Space Fragmentation
Fan Yang, Matteo Magoni, Hannes Pichler
https://arxiv.org/abs/2506.10806 https://

Constructing Quantum Many-Body Scars from Hilbert Space Fragmentation
Quantum many-body scars (QMBS) are exotic many-body states that exhibit anomalous non-thermal behavior in an otherwise ergodic system. In this work, we demonstrate a simple, scalable and intuitive construction of QMBS in a kinetically constrained quantum model exhibiting weak Hilbert space fragmentation. We show that towers of exact QMBS can be constructed by injecting a quasiparticle excitation that partially activates the frozen regions in the lattice. Meanwhile, the inelastic collision betwe…

Topological A-Model for $AdS_5\times S^5$ Superstring and the Maldacena Conjecture
Nathan Berkovits (ICTP-SAIFR/IFT-UNESP, Sao Paulo)
https://arxiv.org/abs/2506.10907

Topological A-Model for $AdS_5\times S^5$ Superstring and the Maldacena Conjecture
A topological A-model constructed from $CP^{3|4}$ supertwistor variables is proposed for the $AdS_5\times S^5$ superstring. At zero $AdS$ radius, free N=4 d=4 super-Yang-Mills amplitudes are reproduced by topological amplitudes of the corresponding gauged linear sigma model where the closed superstring vertex operator for a trace of $k$ super-Yang-Mills fields is described by a boundary state with U(1) worldsheet instanton number $k$. After turning on a Fayet-Iliopoulis term in the sigma m…

A novel visual data-based diagnostic approach for estimation of regime transition in pool boiling
Pranay Nirapure, Ayushman Singh, Srikanth Rangarajan, Bahgat Sammakia
https://arxiv.org/abs/2506.10832

A novel visual data-based diagnostic approach for estimation of regime transition in pool boiling
This study introduces a novel metric, the Index of Visual Similarity (IVS), to qualitatively characterize boiling heat transfer regimes using only visual data. The IVS is constructed by combining morphological similarity, through SIFT-based feature matching, with physical similarity, via vapor area estimation using Mask R-CNN. High-speed images of pool boiling on two distinct surfaces, polished copper and porous copper foam, are employed to demonstrate the generalizability of the approach. IVS …

Algorithmic methods of finite discrete structures. Topological graph drawing (part III)
Sergey Kurapov, Maxim Davidovsky
https://arxiv.org/abs/2506.10936 h…

Algorithmic methods of finite discrete structures. Topological graph drawing (part III)
The manuscript considers mathematical models for creating a topological drawing of a graph based on the methods of G. Ringel's vertex rotation theory. An algorithm is presented for generating a topological drawing of a flat part of a graph based on the selection of a basis for the cycle subspace C(G) using the Monte Carlo method. A steepest descent method for constructing a topological drawing of a flat subgraph is described in the manuscript. The topological drawing of a graph is constructed u…

Tensor perturbations in higher derivative gravity theories in $D$ dimensions
Ercan Kilicarslan
https://arxiv.org/abs/2506.10563 https://

Tensor perturbations in higher derivative gravity theories in $D$ dimensions
We study tensor perturbations of the ghost-free generic non-local gravity theory constructed infinite series of higher derivative terms in $D$ dimensions. The infinite series of higher derivative terms are encoded by form factors, the forms of which can be restricted by requiring that the action remains perturbatively free of ghosts and tachyons around maximally symmetric backgrounds for transverse traceless fluctuations. To demonstrate this, we obtain field equations for AdS plane wave metric …

On the interplay between the BFKL resummation and high-energy factorization in Mueller-Navelet dijet production
A. A. Chernyshev, M. A. Nefedov, V. A. Saleev
https://arxiv.org/abs/2506.10458

On the interplay between the BFKL resummation and high-energy factorization in Mueller-Navelet dijet production
We study the interplay between the high-energy resummation based on the BFKL equation and initial state radiation effects, taken into account within the framework of the high-energy factorization, in the production of Mueller-Navelet dijets at hadron colliders. We use the solution of the NLO BFKL equation built out of eigenfunctions perturbatively constructed up to NLO to avoid the need for a special renormalization scale setting. We demonstrate that the various data sets from the FNAL Tevatron…

A note on the properties of the confidence set for the local average treatment effect obtained by inverting the score test
Ezequiel Smucler, Ludovico Lanni, David Masip
https://arxiv.org/abs/2506.10449

A note on the properties of the confidence set for the local average treatment effect obtained by inverting the score test
We study the properties of the score confidence set for the local average treatment effect in non and semiparametric instrumental variable models. This confidence set is constructed by inverting a score test based on an estimate of the nonparametric influence function for the estimand, and is known to be uniformly valid in models that allow for arbitrarily weak instruments; because of this, the confidence set can have infinite diameter at some laws. We characterize the six possible forms the sc…

Cotangent Bundles as Coadjoint Orbits and Asymptotic Character Formulas
Michael Gjertsen, Alexander Schmeding
https://arxiv.org/abs/2506.10519 https://

Cotangent Bundles as Coadjoint Orbits and Asymptotic Character Formulas
The present article presents geometric quantization on cotangent bundles as a special instance of Kirillov's orbit method. To this end, the cotangent bundle is realized as a coadjoint orbit of an infinite-dimensional Lie group constructed from the diffeomorphism group. We also develop two asymptotic character formulas by employing the tangent groupoid.

⇢ The notion of “intelligence” in AI has always been very narrow, and I’d argue that even that of “general intelligence” remains a very narrow one, and like previous ideas of intelligence, it’s largely socially constructed, i.e., closely tied to a particular set of skills valued by a particular group of people.
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⇢ The notion of “intelligence” in AI has always been very narrow, and I’d argue that even that of “general intelligence” remains a very narrow one, and like previous ideas of intelligence, it’s largely socially constructed, i.e., closely tied to a particular set of skills valued by a particular group of people.
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This https://arxiv.org/abs/2310.16918 has been replaced.
initial toot: https://mastoxiv.page/@a…

Geodynamics and artificial gravity in space-time crystals under slow perturbation and deformation
We present a theory of geodynamics in a space-time crystal based on an event wave packet constructed from the Floquet-Bloch waves, which not only involve a scalar dispersion function but also a Berry curvature tensor in the phase space manifold of space-time and the reciprocal quasi energy-momentum. In the presence of structural deformation, this theory is naturally extended into a covariant form with the introduction of a lattice connection constructed out of the gradients of the local lattice…

This https://arxiv.org/abs/2408.06616 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Gromov-Witten invariants in family and quantum cohomology
A moduli space of stable maps to the fibers of a fiber bundle is constructed. The new moduli space is a family version of the classical moduli space of stable maps to a non-singular complex projective variety. The virtual cycle for this moduli space is also constructed, and an analogue of Gromov-Witten invariants is defined. As an application, we recover the formula for the number of rational degree d curves in P3, whose image lies in a plane in P3 (known as planar curves in P3), intersecting r…

Quasi-periodic flat-band model constructed by molecular-orbital representation
Tomonari Mizoguchi, Yasuhiro Hatsugai
https://arxiv.org/abs/2506.08450 https…

Quasi-periodic flat-band model constructed by molecular-orbital representation
We construct a tight-binding model that hosts both a quasi-periodic nature and marcoscopically-dengenerate zero-energy modes. The model can be regarded as a counterpart of the Aubry-André-Harper (AAH) model, which is a paradigmatic example of the quasi-periodic tight-binding model. Our main focus is on the many-body state where the flat-band-like degenerate zero-energy modes are fully occupied. We find a characteristic sublattice dependence of the particle density distribution. Further, by ana…

General solutions to the equations of acoustics in inhomogeneous media and gas dynamics
O. V. Kaptsov
https://arxiv.org/abs/2506.09547 https://

General solutions to the equations of acoustics in inhomogeneous media and gas dynamics
This paper considers one-dimensional equations of acoustics equations of inhomogeneous media and the system of gas dynamics equations with constant entropy. Using the Riemann approach, the gas dynamics equations are reduced to a second-order linear hyperbolic equation with variable coefficients. Solutions to this equation are constructed using Euler transformations. This allows us to find new exact solutions of the equations of acoustics and gas dynamics, depending on two arbitrary functions.

This https://arxiv.org/abs/2505.18668 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCV_…

ChartGalaxy: A Dataset for Infographic Chart Understanding and Generation
Infographic charts are a powerful medium for communicating abstract data by combining visual elements (e.g., charts, images) with textual information. However, their visual and structural richness poses challenges for large vision-language models (LVLMs), which are typically trained on plain charts. To bridge this gap, we introduce ChartGalaxy, a million-scale dataset designed to advance the understanding and generation of infographic charts. The dataset is constructed through an inductive proc…

“The modern-day system of colonialism and sharecropping being constructed by the new East India Company that is Silicon Valley isn’t uncouth or stupid enough to put people in physical shackles. It doesn’t want to own your body, it is content with owning your simulation. And yet, as we have already seen, the more data they have about you – the higher the fidelity of your simulation – the closer they are to owning you.
…
If this doesn’t sound like democracy, it is because it is not…

Power Diagram Enhanced Adaptive Isosurface Extraction from Signed Distance Fields
Pengfei Wang, Ziyang Zhang, Wensong Wang, Shuangmin Chen, Lin Lu, Shiqing Xin, Changhe Tu
https://arxiv.org/abs/2506.09579

Power Diagram Enhanced Adaptive Isosurface Extraction from Signed Distance Fields
Extracting high-fidelity mesh surfaces from Signed Distance Fields has become a fundamental operation in geometry processing. Despite significant progress over the past decades, key challenges remain namely, how to automatically capture the intricate geometric and topological structures encoded in the zero level set of SDFs. In this paper, we present a novel isosurface extraction algorithm that introduces two key innovations: 1. An incrementally constructed power diagram through the addition of…

Constraining resolved extragalactic $R_{21}$ variation with well calibrated ALMA observations
Jakob den Brok, Elias K. Oakes, Adam K. Leroy, Eric W. Koch, Antonio Usero, Erik W. Rosolowsky, Frank Bigiel, Jiayi Sun, Hao He, Ashley T. Barnes, Yixian Cao, Fu-Heng Liang, Hsi-An Pan, Toshiki Saito, Sumit K. Sarbadhicary, Thomas G. Williams
https://…

Constraining resolved extragalactic $R_{21}$ variation with well calibrated ALMA observations
CO(1-0) and CO(2-1) are commonly used as bulk molecular gas tracers. The CO line ratios (especially CO(2-1)/CO(1-0) - $R_{21}$) vary within and among galaxies, yet previous studies on $R_{21}$ and alike often rely on measurements constructed by combining data from facilities with substantial relative calibration uncertainties that have the same order as physical line ratio variations. Hence robustly determining systematic $R_{21}$ variations is challenging. Here, we compare CO(1-0) and CO(2-1) …

In case anyone here has connections with the Python team: can you please tell them to update their docs on XML security? The way it is is quite misleading, and it's been annoying me for a while. I raised this a while ago in their issue tracker, but it got no reaction whatsoever. https://github.com/python/cpython/issu…

Reconsider XML Security warnings / obsolete vulnerabilities · Issue #127502 · python/cpython
Documentation The documentation for the xml.etree.ElementTree API contains the following stark warning: Warning: The xml.etree.ElementTree module is not secure against maliciously constructed data....

Formation of stationary interfaces in the fast reaction limit
Yuki Tsukamoto
https://arxiv.org/abs/2506.09716 https://arxiv.org/pdf/2…

Formation of stationary interfaces in the fast reaction limit
We study a two-component reaction-diffusion system in which one of the reaction terms becomes singularly large. Assuming that the initial data are nonnegative and mutually segregated, we prove that the solution converges to that of the heat equation in the nonreactive region, while it remains zero elsewhere. The analysis is based on explicitly constructed barrier functions and a comparison argument adapted to systems with asymmetric reaction terms, which together provide control near the interf…

"Symmetry-from-Anomaly" in Condensed Matter related Constructions
Cenke Xu
https://arxiv.org/abs/2506.09127 https://arxiv.o…

"Symmetry-from-Anomaly" in Condensed Matter related Constructions
The noninvertible axial symmetry constructed from the ABJ-anomaly has attracted enormous interest. We discuss the mechanism of "symmetry-from-anomaly" in condensed matter-related models in both 1d and 3d spaces (which correspond to (1+1)d and (3+1)d space-time). Within the models discussed here, we establish the connection between field theory quantities such as different versions of the axial charge, and quantities with simple physical meanings in our systems. In our models and likely a class …

Spatial and Pulse Efficiency Constraints in Atom Interferometric Gravitational Wave Detectors
Patrik Schach, Enno Giese
https://arxiv.org/abs/2506.09511 ht…

Spatial and Pulse Efficiency Constraints in Atom Interferometric Gravitational Wave Detectors
Currently planned and constructed terrestrial detectors for gravitational waves and dark matter based on differential light-pulse atom interferometry are designed around three primary strategies to enhance their sensitivity: (i) Resonant-mode enhancement using multiple diamonds, (ii) large-momentum-transfer techniques to increase arm separation within the interferometer, and (iii) very-long baseline schemes that increase the distance between the two interferometers. Both resonant-mode enhanceme…

Complexity Analysis of Convex Majorization Schemes for Nonconvex Constrained Optimization
Nuozhou Wang, Junyu Zhang, Shuzhong Zhang
https://arxiv.org/abs/2506.08506

Complexity Analysis of Convex Majorization Schemes for Nonconvex Constrained Optimization
We introduce and study various algorithms for solving nonconvex minimization with inequality constraints, based on the construction of convex surrogate envelopes that majorize the objective and the constraints. In the case where the objective and constraint functions are gradient Hölderian continuous, the surrogate functions can be readily constructed and the solution method can be efficiently implemented. The surrogate envelopes are extended to the settings where the second-order information …

A class of (infinite-dimensional) cosemisimple Hopf algebras constructed via abelian extensions
Jing Yu, Gongxiang Liu, Kun Zhou, Xiangjun Zhen
https://arxiv.org/abs/2506.04008

A class of (infinite-dimensional) cosemisimple Hopf algebras constructed via abelian extensions
In this paper, we aim to study abelian extensions for some infinite group. We show that the Hopf algebra $\Bbbk^G{}^τ\#_σ\Bbbk F$ constructed through abelian extensions of $\Bbbk F$ by $\Bbbk^G$ for some (infinite) group $F$ and finite group $G$ is cosemisimple, and discuss when it admits a compact quantum group structure if $\Bbbk$ is the field of complex numbers $\mathbb{C}.$ We also find all the simple $\Bbbk^G{}^τ\#_σ\Bbbk F$-comodules and attempt to determine the Grothendieck ring of t…

This https://arxiv.org/abs/2112.12859 has been replaced.
link: https://scholar.google.com/scholar?q=a

A Countable, Dense, Dedekind-Complete Subset of $\mathbb{R}$ Constructed by Extending $\mathbb{Q}$ via Simultaneous Marking of Closed Intervals with Rational Endpoints
This article explores the model-dependent nature of set cardinality, emphasizing that cardinality is not absolute but varies across different axiomatic frameworks. Although Cantor's diagonal argument shows the real numbers are non-denumerable within ZF (Zermelo-Fraenkel set theory), the precise cardinality of the continuum remains unsettled and depends critically on model assumptions. For instance, under Gödel's inner-model axiom V=Ultimate L, the Continuum Hypothesis (CH) holds, whereas Marti…

Null Distance and Temporal Functions
Andrea Nigri
https://arxiv.org/abs/2507.07158 https://arxiv.org/pdf/2507.07158

Null Distance and Temporal Functions
The notion of null distance was introduced by Sormani and Vega as part of a broader program to develop a theory of metric convergence adapted to Lorentzian geometry. Given a time function $τ$ on a spacetime $(M,g)$, the associated null distance $\hat{d}_τ$ is constructed from and closely related to the causal structure of $M$. While generally only a semi-metric, $\hat{d}_τ$ becomes a metric when $τ$ satisfies the local anti-Lipschitz condition. In this work, we focus on temporal functions…

CETBench: A Novel Dataset constructed via Transformations over Programs for Benchmarking LLMs for Code-Equivalence Checking
Neeva Oza, Ishaan Govil, Parul Gupta, Dinesh Khandelwal, Dinesh Garg, Parag Singla
https://arxiv.org/abs/2506.04019

CETBench: A Novel Dataset constructed via Transformations over Programs for Benchmarking LLMs for Code-Equivalence Checking
LLMs have been extensively used for the task of automated code generation. In this work, we examine the applicability of LLMs for the related but relatively unexplored task of code-equivalence checking, i.e., given two programs, whether they are functionally equivalent or not. This is an important problem since benchmarking code equivalence can play a critical role in evaluating LLM capabilities for tasks such as code re-writing and code translation. Towards this end, we present CETBench - Code…

This https://arxiv.org/abs/2409.18122 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

RT-GuIDE: Real-Time Gaussian splatting for Information-Driven Exploration
We propose a framework for active mapping and exploration that leverages Gaussian splatting for constructing dense maps. Further, we develop a GPU-accelerated motion planning algorithm that can exploit the Gaussian map for real-time navigation. The Gaussian map constructed onboard the robot is optimized for both photometric and geometric quality while enabling real-time situational awareness for autonomy. We show through simulation experiments that our method yields comparable Peak Signal-to-No…

A Comparative Study and Implementation of Key Derivation Functions Standardized by NIST and IEEE
Abel C. H. Chen
https://arxiv.org/abs/2507.06244 https://

A Comparative Study and Implementation of Key Derivation Functions Standardized by NIST and IEEE
Since many applications and services require pseudorandom numbers (PRNs), it is feasible to generate specific PRNs under given key values and input messages using Key Derivation Functions (KDFs). These KDFs are primarily constructed based on Message Authentication Codes (MACs), where the MAC serves as a core component in the generation of pseudorandom numbers. In light of this, the study first examines three MAC algorithms defined by the National Institute of Standards and Technology (NIST): th…

celegans_2019: Complete C. elegans neurons (2019)
Networks among neurons of both the adult male and adult hermaphrodite worms C. elegans, constructed from electron microscopy series, to include directed edges (chemical) and undirected (gap junction), and spanning including nodes for muscle and non-muscle end organs.
This network has 514 nodes and 3531 edges.
Tags: Biological, Connectome, Weighted

On a conjecture of Faudree and Schelp
Jan Goedgebeur, Jorik Jooken, Michiel Provoost, Carol T. Zamfirescu
https://arxiv.org/abs/2506.09667 https://

On a conjecture of Faudree and Schelp
In 1976 Faudree and Schelp conjectured that in a hamiltonian-connected graph on $n$ vertices, any two distinct vertices are connected by a path of length $k$ for every $k \ge n/2$. In 1978 Thomassen constructed a (non-cubic and non-planar) family of counterexamples, showing that there exist hamiltonian-connected $n$-vertex graphs containing two vertices with no path of length $n-2$ between them. We complement this result by describing cubic planar counterexamples on $6p+16$ vertices, each conta…

The algebraic small object argument as a saturation
Evan Cavallo, Christian Sattler
https://arxiv.org/abs/2506.02759 https://arxiv.or…

The algebraic small object argument as a saturation
We analyze the structure of left maps in algebraic weak factorization systems constructed using Garner's algebraic small object argument. We find that any left map can be constructed from generators in Bourke and Garner's double category of left maps by operations that parallel the classical cell-complex-forming operations of Quillen's small object argument (coproducts, cobase changes, transfinite composites, and retracts). Our main theorems are phrased as "saturation" principles, which express…

This https://arxiv.org/abs/2301.09002 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The Gysin braid for $S^3$-actions on manifolds
Given a smooth action of the sphere $\mathbb S^3$ on a manifold $M$, we have previously constructed a Gysin sequence relating the cohomology of the manifold $M$ and that of the orbit space $M/\mathbb S^3$. This sequence involves an exotic term depending on the subset $M^{\mathbb S^1}$. Notice that the orbit space is a stratified pseudomanifold, a kind of singular spaces where intersection cohomology applies. In the case where the the action is semi-free, the first author has already construct…

LaDEEP: A Deep Learning-based Surrogate Model for Large Deformation of Elastic-Plastic Solids
Shilong Tao, Zhe Feng, Haonan Sun, Zhanxing Zhu, Yunhuai Liu
https://arxiv.org/abs/2506.06001

LaDEEP: A Deep Learning-based Surrogate Model for Large Deformation of Elastic-Plastic Solids
Scientific computing for large deformation of elastic-plastic solids is critical for numerous real-world applications. Classical numerical solvers rely primarily on local discrete linear approximation and are constrained by an inherent trade-off between accuracy and efficiency. Recently, deep learning models have achieved impressive progress in solving the continuum mechanism. While previous models have explored various architectures and constructed coefficient-solution mappings, they are desig…

Ordering According to Size of Disks in a Narrow Channel
Dan Liu, Michael Karbach, Gerhard M\"uller
https://arxiv.org/abs/2507.07266 https://

Ordering According to Size of Disks in a Narrow Channel
A long and narrow channel confines disks of two sizes. The disks are randomly agitated in a widened channel under moderate pressure, then jammed according to a tunable protocol. We present exact results that characterize jammed macrostates (volume, entropy, jamming patterns). The analysis divides jammed disk sequences into overlapping tiles out of which statistically interacting quasiparticles are constructed. The fractions of small and large disks are controlled by a chemical potential adapted…

Amplitude Walk in Fast Timing: The Role of Dual Thresholds
Sebastian White, Alessio Boletti
https://arxiv.org/abs/2507.07127 https://…

Amplitude Walk in Fast Timing: The Role of Dual Thresholds
In preparation for HL-LHC operation, a number of new detector systems are being constructed with timing precision on physics objects of $\leq50$ picoseconds. These time stamps will reduce the level of pileup induced backgrounds as the number of interactions per crossing will reach of order 100-200. In this report we note that this high pileup level will necessitate a new approach to calibration of these large timing arrays (typically with several $\times10^5$ channels) since a single t$_{0}$ …

An infrared bound on the ultraviolet bounce
Mehrdad Mirbabayi, Giovanni Villadoro
https://arxiv.org/abs/2506.09842 https://arxiv.org/…

An infrared bound on the ultraviolet bounce
Sometimes a local minimum is known to be a metastable vacuum inside the low-energy EFT, but the true vacuum lies outside, and the bounce solution mediating the decay cannot be found. For single-field decay, Espinosa has proposed a family of configurations called ``pseudo-bounces'' as a way to constrain the decay rate. They are parametrized by the central field value $Φ_0$ and constructed without the knowledge of the true vacuum. We prove that the pseudo-bounce family has a monotonically decrea…

New simple modules for the $W$-algebra $W(2,2)$
Hongjia Chen, Dashu Xu
https://arxiv.org/abs/2506.08794 https://arxiv.org/pdf/2506.08…

New simple modules for the $W$-algebra $W(2,2)$
In this paper, we construct a novel class of simple modules for the $W$-algebra $W(2,2)$. Our approach involves taking tensor products of finitely many non-weight simple modules $Ω(λ,α,h)$ with an arbitrary simple restricted module. We provide a necessary and sufficient condition for these modules to be simple, and subsequently determine their isomorphism classes. Through a comparative analysis with other known simple modules in the literature, we establish that these constructed modules are…

This https://arxiv.org/abs/2409.05191 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

Generalization of Geometric Graph Neural Networks with Lipschitz Loss Functions
In this paper, we study the generalization capabilities of geometric graph neural networks (GNNs). We consider GNNs over a geometric graph constructed from a finite set of randomly sampled points over an embedded manifold with topological information captured. We prove a generalization gap between the optimal empirical risk and the optimal statistical risk of this GNN, which decreases with the number of sampled points from the manifold and increases with the dimension of the underlying manifold…

Anisotropic area measures of convex bodies
Rolf Schneider
https://arxiv.org/abs/2506.08803 https://arxiv.org/pdf/2506.08803

Anisotropic area measures of convex bodies
Motivated by the relative differential geometry, where the Euclidean normal vector of hypersurfaces is generalized by a relative normalization, we introduce anisotropic area measures of convex bodies, constructed with respect to a gauge body. Together with the anisotropic curvature measures, they are special cases of the newly introduced anisotropic support measures. We show that a convex body in ${\mathbb R}^n$, for which the anisotropic area measure of some order $k\in\{0,\dots,n-2\}$ is prop…

Contact temporal network during motility induced phase separation
Italo Salas, Francisca Guzm\'an-Lastra, Denisse Past\'en, Ariel Norambuena
https://arxiv.org/abs/2506.08642

Contact temporal network during motility induced phase separation
Motility-induced phase separation (MIPS) is a paradigmatic non-equilibrium transition in active matter, determined by the Péclet number and packing fraction. We investigate the single-phase and phase-separated regimes of MIPS using a complex network approach, where networks are constructed from particle interactions over finite time windows. In the single-phase (gas-like) regime, the degree distributions $P(k)$ exhibit Gaussian behavior and resemble those of random graphs. Plotting the locatio…

Leveraging AI Graders for Missing Score Imputation to Achieve Accurate Ability Estimation in Constructed-Response Tests
Masaki Uto, Yuma Ito
https://arxiv.org/abs/2506.20119

Leveraging AI Graders for Missing Score Imputation to Achieve Accurate Ability Estimation in Constructed-Response Tests
Evaluating the abilities of learners is a fundamental objective in the field of education. In particular, there is an increasing need to assess higher-order abilities such as expressive skills and logical thinking. Constructed-response tests such as short-answer and essay-based questions have become widely used as a method to meet this demand. Although these tests are effective, they require substantial manual grading, making them both labor-intensive and costly. Item response theory (IRT) prov…

From Radar to Risk: Building a High-Resolution Hail Database for Austria And Estimating Risk Through the Integration of Distributional Neural Networks into the Metastatistical Framework
Gregor Ehrensperger, Vera Katharina Meyer, Marc-Andr\'e Falkensteiner, Tobias Hell
https://arxiv.org/abs/2507.06429

From Radar to Risk: Building a High-Resolution Hail Database for Austria And Estimating Risk Through the Integration of Distributional Neural Networks into the Metastatistical Framework
This study makes significant contributions to the understanding of hail climatology in Austria. First, it introduces a comprehensive database of hailstone sizes, constructed from three-dimensional radar data spanning 2009 to 2022 and calibrated by approximately 5000 verified hail reports. The database serves as foundation for describing the short-term climatology of hail and provides the data necessary for estimating hail risk maps with enhanced spatial resolution and quality. Second, the…

This https://arxiv.org/abs/2503.12177 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csNI_…

Open Wireless Digital Twin: End-to-End 5G Mobility Emulation in O-RAN Framework
This paper presents an end-to-end wireless digital twin platform constructed using open-source software and open data to enhance the evaluation of mobile communication systems. The proposed open wireless digital twin (OWDT) integrates OpenAirInterface (OAI) for 5G NR protocol stack emulation and NVIDIA Sionna RT for high-resolution ray tracing based radio propagation modeling. This integration enables realistic emulation of vehicular mobility scenarios, leveraging real-world geographic and buil…

This https://arxiv.org/abs/2002.10921 has been replaced.
link: https://scholar.google.com/scholar?q=a

A computer-friendly construction of the monster
Let $\mathbb{M}$ be the monster group which is the largest sporadic finite simple group, and has first been constructed in 1982 by Griess. In 1985, Conway has constructed a 196884-dimensional representation $ρ$ of $\mathbb{M}$ with matrix coefficients in $\mathbb{Z}[\frac{1}{2}]$. So these matrices may be reduced modulo any (not necessarily prime) odd number $p$, leading to representations of $\mathbb{M}$ in odd characteristic. The representation $ρ$ is based on representations of two maximal…

Electromagnetically induced grating based on strongly coupled disperse red1 molecules
Xiaotong Bu, Jingsong Yuan, Chunliang Wang
https://arxiv.org/abs/2506.07063

Electromagnetically induced grating based on strongly coupled disperse red1 molecules
In this study, optically responsive exciton-polariton were generated via strong coupling between DR1 molecules and an F-P microcavity. An electromagnetically induced grating (EIG) was constructed using two-beam interference to investigate EP modulation effects.EP formation was confirmed by transmission spectroscopy, angle-dependent measurements, and k-space reflection. Rabi splitting increased with DR1 concentration, indicating enhanced light-matter interaction. Under 532 nm laser illumination,…

Bialgebras induced by special left Alia algebras
Tianshui Ma, Chan Zhao, Huihui Zheng
https://arxiv.org/abs/2506.07061 https://arxiv.…

Bialgebras induced by special left Alia algebras
Special left Alia algebras were introduced by Dzhumadil'daev in [J. Math. Sci. (N.Y.) 161(2009), 11-30] when studying the classification of algebras with skew-symmetric identity of degree 3. A special left Alia algebra (resp. coalgebra) $(A, [,]_{(f,g)})$ (resp. $(A, Δ_{(F,G)})$) is constructed by a commutative associative algebra (resp. cocommutative coassociative coalgebra) $(A, \cdot)$ (resp. $(A, δ)$) together with two linear maps $f, g: A\longrightarrow A$ (resp. $F, G: A\longrightarrow …

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres
Judson Kuhrman
https://arxiv.org/abs/2507.03798 https://arxiv.org/pdf/2507.037…

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres
We extend the infinite family of exotic embeddings $\mathbb{RP}^2 \hookrightarrow S^4$ constructed by Miyazawa to a strictly larger family of exotic embeddings, by showing that in place of the pretzel knot $P(-2, 3, 7)$, an infinite family of knots may be used as input to the construction. To this end, we prove that for any Montesinos knot of the form $K(2,3,|6s+1|)$, the branched double cover of the corresponding roll-spun knot is a homotopy sphere. This in turn produces a larger fam…

This https://arxiv.org/abs/2505.13182 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLO_…

Information Science Principles of Machine Learning: A Causal Chain Meta-Framework Based on Formalized Information Mapping
[Objective] This study focuses on addressing the current lack of a unified formal theoretical framework in machine learning, as well as the deficiencies in interpretability and ethical safety assurance. [Methods] A formal information model is first constructed, utilizing sets of well-formed formulas to explicitly define the ontological states and carrier mappings of typical components in machine learning. Learnable and processable predicates, along with learning and processing functions, are in…

Gap reopening as signature of coupling between Majorana zero modes in Sn-(Bi,Sb)2(Te,S)3-based Josephson trijunctions
Duolin Wang, Xiang Zhang, Yunxiao Zhang, Heng Zhang, Fucong Fei, Xiang Wang, Bing Li, Xiaozhou Yang, Yukun Shi, Zhongmou Jia, Enna Zhuo, Yuyang Huang, Anqi Wang, Zenan Shi, Zhaozheng Lyu, Xiaohui Song, Peiling Li, Bingbing Tong, Ziwei Dou, Jie Shen, Guangtong Liu, Fanming Qu, Fengqi Song, Li Lu

Gap reopening as signature of coupling between Majorana zero modes in Sn-(Bi,Sb)2(Te,S)3-based Josephson trijunctions
In the past two decades, enormous efforts have been made to search for possible platforms and schemes to implement topological quantum computation (TQC). In exploring the Fu-Kane scheme of TQC based on Josephson trijunctions constructed on topological insulators, the expected Majorana phase diagram of a single trijunction has been experimentally verified. If Majorana zero modes indeed exist in this kind of trijunctions, coupling between them in multiple trijunction devices would be further expe…

corporate_directors: Global corporate directors (2016)
Bipartite network of directors and the companies on whose boards they sit, spanning 54 countries worldwide, constructed from data collected by the Financial Times (c. Sept. 2016). Person nodes are annotated with age and gender. Company nodes are annotated with their country, sector, industry, and number of employees.
This network has 356638 nodes and 377060 edges.
Tags: Economic, Governance, Unweighted, Metadata

Algebraic and Spectral properties of slant Toeplitz and slant little Hankel Operators on weighted Bergman Space
Oinam Nilbir Singh, M. P. Singh, Thokchom Sonamani Singh
https://arxiv.org/abs/2507.06546

Algebraic and Spectral properties of slant Toeplitz and slant little Hankel Operators on weighted Bergman Space
This paper studies the \(k^{th}-\)order slant Toeplitz and slant little Hankel operators on the weighted Bergman space \(\mathcal{A}_α^2(\mathbb{D})\). These operators are constructed using a slant shift operator \(W_k\) composed with classical Toeplitz and Hankel operators, respectively. We derive their matrix representations and establish criteria for boundedness, compactness, and normality. Commutativity conditions are obtained, showing that two such operators commute if and only if their s…

Global Solutions to the Discrete Nonlinear Breakage Equations without Mass Transfer
Mashkoor Ali (LAMA), Philippe Lauren\c{c}ot (LAMA)
https://arxiv.org/abs/2507.06685

Global Solutions to the Discrete Nonlinear Breakage Equations without Mass Transfer
Global existence of mild solutions to the discrete collisional breakage equations is established for a broad class of collision kernels, without imposing any growth assumptions. In addition, classical solutions are constructed, and uniqueness is proved for an appropriate class of kinetic coefficients and initial data. The large time behavior of solutions is also discussed, and numerical simulations are presented to support the theoretical results.

Digital Quantum Simulation of the Kitaev Quantum Spin Liquid
Seongjun Park, Eun-Gook Moon
https://arxiv.org/abs/2506.09156 https://ar…

Digital Quantum Simulation of the Kitaev Quantum Spin Liquid
The ground state of the Kitaev quantum spin liquid on a honeycomb lattice is an intriguing many-body state characterized by its topological order and massive entanglement. One of the significant issues is to prepare and manipulate the ground state as well as excited states in a quantum simulator. Here, we provide a protocol to manipulate the Kitaev quantum spin liquid via digital quantum simulation. A series of unitary gates for the protocol is explicitly constructed, showing its circuit depth …

A Low-Dimensional Counterexample to the HK-Conjecture
Rachel Chaiser
https://arxiv.org/abs/2507.05425 https://arxiv.org/pdf/2507.0542…

A Low-Dimensional Counterexample to the HK-Conjecture
We provide a counterexample to the HK-conjecture using the flat manifold odometers constructed by Deeley. Deeley's counterexample uses an odometer built from a flat manifold of dimension 9 and an expansive self-cover. We strengthen this result by showing that for each dimension $d\geq 4$ there is a counterexample to the HK-conjecture built from a flat manifold of dimension $d$. Moreover, we show that this dimension is minimal, as if $d\leq 3$ the HK-conjecture holds for the associated odometer.…

Operators of stochastic adding machines and Julia sets
Danilo Caprio, Ali Messaoudi, Ioannis Tsokanos, Glauco Valle
https://arxiv.org/abs/2506.05703 https:…

Operators of stochastic adding machines and Julia sets
A stochastic adding machine is a Markov chain on the set of non-negative integers $\mathbb{Z}_{+}$ that models the process of adding one by successively updating the digits of a number's expansion in a given numeration system. At each step, random failures may occur, interrupting the procedure and preventing it from continuing beyond a certain point. The first model of such a stochastic adding machine, constructed for the binary base, was introduced by Killeen and Taylor. Their work was motiv…

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system
Wenpo Yao
https://arxiv.org/abs/2506.08058 https://

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system
Permutation time irreversibility is an important method to quantify nonequilibrium characteristics of complex systems; however, ordinal pattern is a coarse-graining alternative of temporal structure and cannot accurately represent detailed structural information. This study aims to propose a fuzzy permutation time irreversibility (fpTIR) by measuring the difference between vector elements based on a negative exponential function. The amplitude permutation of vector is constructed and its member…

Closing objectivity loophole in Bell tests on a public quantum computer
Adam Bednorz, Josep Batle, Tomasz Bia{\l}ecki, Jaros{\l}aw K. Korbicz
https://arxiv.org/abs/2506.08940

Closing objectivity loophole in Bell tests on a public quantum computer
We have constructed and run a Bell test of local realism focusing on the objectivity criterion. The objectivity means that the outcomes are confirmed macroscopically by a few observers at each of party. The IBM Quantum devices turn out to be sufficiently accurate to pass such an extended Bell-type test, although at the price of communication loopholes and residual but statistically significant signaling. The test serves also as the benchmark of entanglement spread across larger sets of qubits.

Quantitative Rigidity Using Colding's Monotonicity Formulas for Ricci Curvature
Christine Breiner, Jiewon Park
https://arxiv.org/abs/2506.08317 https:/…

Quantitative Rigidity Using Colding's Monotonicity Formulas for Ricci Curvature
In \cite{Colding}, Colding proved monotonicity formulas for the Green function on manifolds with nonnegative Ricci curvature. Inspired by the sharp estimates relating the pinching of monotone quantities to the splitting function in \cite{cjn}, in this paper we investigate quantitative control obtained from pinching of Colding's monotone functionals. From the Green functions with poles at $(k+1)$-many independent points, $k$-splitting functions are constructed with regularity quantitatively cont…

Looks like this headline was constructed to violate @…’s law…
https://apple.news/AxKolRBihRpy493vkr7KB2Q

Is being bilingual good for your brain? — The Economist
Perhaps. Learning languages offers other, more concrete benefits

Remarks on Higgs bundles twisted by a vector bundle
David Alfaya, Indranil Biswas, Pradip Kumar
https://arxiv.org/abs/2506.06573 https://

Remarks on Higgs bundles twisted by a vector bundle
For any V-twisted Higgs bundle on a compact Riemann surface X, where V is a holomorphic vector bundle of rank two on X, there are two associated Higgs bundles on X, twisted by line bundles, which are constructed using a Hecke transformation on V. We characterize all such pairs of Higgs bundles (twisted by line bundles) given by V-twisted Higgs bundles. Using this characterization, we provide a spectral correspondence for the moduli space, identifying V-twisted Higgs bundles with the direct imag…

A New proof of Liouville type theorems for a class of semilinear elliptic equations
Chen Guo, Zhengce Zhang
https://arxiv.org/abs/2507.07664 https://

A New proof of Liouville type theorems for a class of semilinear elliptic equations
We study certain typical semilinear elliptic equations in Euclidean space $\bR^{n}$ or on a closed manifold $M$ with nonnegative Ricci curvature. Our proof is based on a crucial integral identity constructed by the invariant tensor method. Together with suitable integral estimates, some classical Liouville theorems will be reestablished.

This https://arxiv.org/abs/2506.00957 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

A Celestial Kinematical Interpretation for an Extended BMS$_4$
Motivated by the work of Longhi and Materassi, who constructed a realisation of the (centreless) BMS$_4$ algebra for the massive Klein-Gordon field in $3+1$, we build a realisation of the (centreless) BMS$_4$ algebra including super-rotations by using celestial coordinates. This realisation depends only on the momenta in the lightcone in the celestial coordinates without any reference to the Klein--Gordon field. The quadratic Casimir of the Lorentz algebra written in terms of a second order dif…

A Twisted sl_2(C) Isomonodromic-Isospectral Correspondence
Mohamad Alameddine
https://arxiv.org/abs/2507.06668 https://arxiv.org/pdf/…

A Twisted sl_2(C) Isomonodromic-Isospectral Correspondence
The aim of this article is to generalize the isomonodromic-isospectral correspondence for meromorphic connections of rank $2$ over $\mathbb{P}^1$ to the twisted case. More specifically, the construction of the isospectral approach is provided for the Painlevé I hierarchy, then two maps are constructed, one linking the sets of isomonodromic and isospectral Hamiltonians, another linking the set of apparent singularities to a set of isospectral coordinates.

Object Navigation with Structure-Semantic Reasoning-Based Multi-level Map and Multimodal Decision-Making LLM
Chongshang Yan, Jiaxuan He, Delun Li, Yi Yang, Wenjie Song
https://arxiv.org/abs/2506.05896

Object Navigation with Structure-Semantic Reasoning-Based Multi-level Map and Multimodal Decision-Making LLM
The zero-shot object navigation (ZSON) in unknown open-ended environments coupled with semantically novel target often suffers from the significant decline in performance due to the neglect of high-dimensional implicit scene information and the long-range target searching task. To address this, we proposed an active object navigation framework with Environmental Attributes Map (EAM) and MLLM Hierarchical Reasoning module (MHR) to improve its success rate and efficiency. EAM is constructed by re…

This https://arxiv.org/abs/2506.00122 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Some functors preserving exceptionality
We constructed some tensor functors that send each exceptional sequence in a module category to another exceptional sequence in another module category by using split extensions and recollements.

Impact of the $(\ell=2,m=0)$ spherical harmonic mode with memory on parameter estimation for ground-based detectors
Maria Rossell\'o-Sastre, Sascha Husa, Sayantani Bera, Yumeng Xu
https://arxiv.org/abs/2506.05859

Impact of the $(\ell=2,m=0)$ spherical harmonic mode with memory on parameter estimation for ground-based detectors
We recently presented an efficient and accurate waveform model for the $(2,0)$ spherical harmonic mode including both the displacement memory contribution and the ringdown oscillations for aligned-spin binary black holes in quasi-circular orbits. The model we developed is constructed in time domain and implemented within the computationally efficient IMRPhenomTHM waveform model. In this article, we employ it to perform in-depth parameter estimation studies for future ground-based detectors, spe…

From topological amplitudes to rescattering dynamics in charmed baryon decays
Di Wang
https://arxiv.org/abs/2507.06914 https://arxiv.…

From topological amplitudes to rescattering dynamics in charmed baryon decays
Charmed baryon decays play an important role in studying the weak and strong interactions. Charmed baryon decays decaying into an octet baryon and a pseudoscalar meson have been studied in the framework of rescattering dynamics at the hadron level and topological amplitudes at the quark level. In this work, we investigate the relation between topological amplitudes and rescattering dynamics in the $ B_{c\overline{3}}\to B_8P$ decays. Note that the chiral Lagrangian is constructed using (1,1)-ra…

Willchain: Decentralized, Privacy-Preserving, Self-Executing, Digital Wills
Jovonni L. PHarr
https://arxiv.org/abs/2507.03694 https://

Willchain: Decentralized, Privacy-Preserving, Self-Executing, Digital Wills
This work presents a novel decentralized protocol for digital estate planning that integrates advances distributed computing, and cryptography. The original proof-of-concept was constructed using purely solidity contracts. Since then, we have enhanced the implementation into a layer-1 protocol that uses modern interchain communication to connect several heterogeneous chain types. A key contribution of this research is the implementation of several modern cryptographic primitives to support vari…

This https://arxiv.org/abs/2505.22083 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Hyperbolic recurrent neural network as the first type of non-Euclidean neural quantum state ansatz
In this work, we introduce the first type of non-Euclidean neural quantum state (NQS) ansatz, in the form of the hyperbolic GRU (a variant of recurrent neural networks (RNNs)), to be used in the Variational Monte Carlo method of approximating the ground state wavefunction for quantum many-body systems. In particular, we examine the performances of NQS ansatzes constructed from both conventional or Euclidean RNN/GRU and from hyperbolic GRU in the prototypical settings of the one- and two-dimensi…

This https://arxiv.org/abs/2311.13633 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Open AdS/CFT via a Double Trace Deformation
A concrete model of extracting the physics from the bulk of a gravitational universe is important to the study of quantum gravity and its possible relationship with experiments. Such a model can be constructed in the AdS/CFT correspondence by gluing a bath on the asymptotic boundary of the bulk anti-de Sitter (AdS) spacetime. This bath models a laboratory and is described by a quantum field theory. In the dual conformal field theory (CFT) description this coupling is achieved by a double-trace …

celegans_2019: Complete C. elegans neurons (2019)
Networks among neurons of both the adult male and adult hermaphrodite worms C. elegans, constructed from electron microscopy series, to include directed edges (chemical) and undirected (gap junction), and spanning including nodes for muscle and non-muscle end organs.
This network has 585 nodes and 1755 edges.
Tags: Biological, Connectome, Weighted

Metamaterials and Negative Refractive Index
D. R. Smith, J. B. Pendry, M. C. K. Wiltshire
https://arxiv.org/abs/2507.05737 https://ar…

Metamaterials and Negative Refractive Index
Recently, artificially constructed metamaterials have become of considerable interest, as these materials can exhibit electromagnetic characteristics unlike any conventional materials. Artificial magnetism and negative refractive index are two specific types of behavior that have been demonstrated over the past few years, illustrating the new physics and new applications possible when we expand our view as to what constitutes a material. In this review, we describe recent advances in metamateri…

RUBIES: A Spectroscopic Census of Little Red Dots; All V-Shaped Point Sources Have Broad Lines
Raphael E. Hviding, Anna de Graaff, Tim B. Miller, David J. Setton, Jenny E. Greene, Ivo Labb\'e, Gabriel Brammer, Rachel Bezanson, Leindert A. Boogaard, Nikko J. Cleri, Joel Leja, Michael V. Maseda, Ian McConachie, Jorryt Matthee, Rohan P. Naidu, Pascal A. Oesch, Bingjie Wang, Katherine E. Whitaker, Christina Williams

RUBIES: A Spectroscopic Census of Little Red Dots; All V-Shaped Point Sources Have Broad Lines
The physical nature of Little Red Dots (LRDs) - a population of compact, red galaxies revealed by JWST - remains unclear. Photometric samples are constructed from varying selection criteria with limited spectroscopic follow-up available to test intrinsic spectral shapes and prevalence of broad emission lines. We use the RUBIES survey, a large spectroscopic program with wide color-morphology coverage and homogeneous data quality, to systematically analyze the emission-line kinematics, spectral s…

Universal Coacting Hopf Algebra of a finite-dimensional Algebra over an Operad
Saikat Goswami, Satyendra Kumar Mishra, Suman Pattanayak
https://arxiv.org/abs/2507.05909

Universal Coacting Hopf Algebra of a finite-dimensional Algebra over an Operad
A. L. Agore and G. Militaru constructed a new invariant (a ``universal coacting Hopf algebra") for some finite-dimensional binary quadratic algebras such as Lie/Leibniz algebras, associative algebras, and Poisson algebras with prominent applications. In this paper, we give a construction of universal coacting bi/Hopf algebra for any finite-dimensional algebra over a symmetric operad $\mathcal{P}$. Precisely, we construct a universal algebra $\mathcal{C}(\mathfrak{a})$ for a finite-dimensional $…

Spectral convergence of graph Laplacians with Ricci curvature bounds and in non-collapsed Ricci limit spaces
Masato Inagaki
https://arxiv.org/abs/2506.07427

Spectral convergence of graph Laplacians with Ricci curvature bounds and in non-collapsed Ricci limit spaces
This paper establishes quantitative high-probability bounds on the eigenvalues and eigenfunctions of $ε$-neighborhood graph Laplacians constructed from i.i.d. random variables on $m$-dimensional closed Riemannian manifolds $(M,g)$ that satisfy a uniform lower Ricci curvature bound $\operatorname{Ric}_g\ge -(m-1)K$, a positive lower volume bound, and an upper diameter bound. These results extend to non-collapsed Ricci limit spaces that are measured Gromov-Hausdorff limits of such manifolds, and…

Some remarks on stochastic converse Lyapunov theorems
Pavel Osinenko, Grigory Yaremenko
https://arxiv.org/abs/2506.06053 https://arxi…

Some remarks on stochastic converse Lyapunov theorems
In this brief note, we investigate some constructions of Lyapunov functions for stochastic discrete-time stabilizable dynamical systems, in other words, controlled Markov chains. The main question here is whether a Lyapunov function in some statistical sense exists if the respective controlled Markov chain admits a stabilizing policy. We demonstrate some constructions extending on the classical results for deterministic systems. Some limitations of the constructed Lyapunov functions for stabili…

An explicit algorithm for the Higman Embedding Theorem
V. H. Mikaelian
https://arxiv.org/abs/2507.04347 https://arxiv.org/pdf/2507.04…

An explicit algorithm for the Higman Embedding Theorem
We propose an algorithm which for any recursive group $G$, given by its effectively enumerable generators and recursively enumerable relations, outputs an explicit embedding of $G$ into a finitely presented group directly written by its generators and defining relations. This is the explicit analogue of the remarkable Higman Embedding Theorem stating that a finitely generated group $G$ is embeddable into a finitely presented group if and only if $G$ is recursive. The constructed finitely presen…

corporate_directors: Global corporate directors (2016)
Bipartite network of directors and the companies on whose boards they sit, spanning 54 countries worldwide, constructed from data collected by the Financial Times (c. Sept. 2016). Person nodes are annotated with age and gender. Company nodes are annotated with their country, sector, industry, and number of employees.
This network has 356638 nodes and 377060 edges.
Tags: Economic, Governance, Unweighted, Metadata

This https://arxiv.org/abs/2201.10300 has been replaced.
link: https://scholar.google.com/scholar?q=a

The Inverse Problem for Single Trajectories of Rough Differential Equations
Motivated by the need to develop a general framework for performing statistical inference for discretely observed random rough differential equations, our aim is to construct a geometric $p$-rough path ${\bf X}$ whose response $Y$, when driving a rough differential equation, matches the observed trajectory $y$. We call this the \textit{continuous inverse problem} and start by rigorously defining its solution. We then develop a framework where the solution can be constructed as a limit of soluti…

This https://arxiv.org/abs/2504.19583 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

Graph-Based Spectral Decomposition for Parameter Coordination in Language Model Fine-Tuning
This paper proposes a parameter collaborative optimization algorithm for large language models, enhanced with graph spectral analysis. The goal is to improve both fine-tuning efficiency and structural awareness during training. In the proposed method, the parameters of a pre-trained language model are treated as nodes in a graph. A weighted graph is constructed, and Laplacian spectral decomposition is applied to enable frequency-domain modeling and structural representation of the parameter spa…

Decay of Fourier transforms and analytic continuation of power-constructible functions
Georges Comte, Dan J. Miller, Tamara Servi
https://arxiv.org/abs/2507.06142

Decay of Fourier transforms and analytic continuation of power-constructible functions
For a subfield K of C, we denote by C^K the category of algebras of functions defined on the globally subanalytic sets that are generated by all K-powers and logarithms of positively-valued globally subanalytic functions. For any function f in C^\K(R), we study links between holomorphic extensions of f and the decay of its Fourier transform F[f] by using tameness properties of the globally subanalytic functions from which f is constructed. We first prove a number of theorems about analytic cont…

This https://arxiv.org/abs/2505.20233 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Resonances in Lifetimes of AdS Oscillon
Oscillons are classical oscillatory solutions with very long but finite lifetimes in real scalar field theories with appropriate potentials. An interesting feature is that resonances appear in the lifetimes of the oscillon for the initial size of the oscillon core $R_0$, which was discovered by Honda and Choptuik in the case of Minkowski space. In a previous work, oscillons in the global anti-de Sitter (AdS) space have been constructed, which we abbreviate as AdS oscillons. We present new reson…

On fourteen equidistribution conjectures of Lv and Zhang and monotone mesh patterns with corner shadings
Qi Fang, Shishuo Fu, Sergey Kitaev, Haijun Li
https://arxiv.org/abs/2507.04698

On fourteen equidistribution conjectures of Lv and Zhang and monotone mesh patterns with corner shadings
Three complementation-like involutions are constructed on permutations to prove, and in some cases generalize, all remaining fourteen joint symmetric equidistribution conjectures of Lv and Zhang. Further enumerative results are obtained for several classes of (mesh) pattern-avoiding permutations, where the shadings of all involved mesh patterns are restricted to an opposing pair of corners.

Impact of the $(\ell=2,m=0)$ spherical harmonic mode with memory on parameter estimation for ground-based detectors
Maria Rossell\'o-Sastre, Sascha Husa, Sayantani Bera, Yumeng Xu
https://arxiv.org/abs/2506.05859

Impact of the $(\ell=2,m=0)$ spherical harmonic mode with memory on parameter estimation for ground-based detectors
We recently presented an efficient and accurate waveform model for the $(2,0)$ spherical harmonic mode including both the displacement memory contribution and the ringdown oscillations for aligned-spin binary black holes in quasi-circular orbits. The model we developed is constructed in time domain and implemented within the computationally efficient IMRPhenomTHM waveform model. In this article, we employ it to perform in-depth parameter estimation studies for future ground-based detectors, spe…

QCD sum rule study on excited light meson operators
Wei-Han Tan, Wen-Ying Liu, Hong-Zhou Xi, Hua-Xing Chen
https://arxiv.org/abs/2505.24376 https://…

QCD sum rule study on excited light meson operators
We apply the QCD sum rule method to systematically study excited light meson operators and calculate their decay constants. These operators are constructed by explicitly adding one covariant derivative to the quark-antiquark pair. In total, twelve such operators are constructed, among which ten are subjected to detailed numerical analyses. The considered quark contents include $\bar{q}q$, $\bar{q}s$, and $\bar{s}s$ ($q = u/d$), allowing the formation of various $SU(3)$ flavor nonets. For instan…

celegans_2019: Complete C. elegans neurons (2019)
Networks among neurons of both the adult male and adult hermaphrodite worms C. elegans, constructed from electron microscopy series, to include directed edges (chemical) and undirected (gap junction), and spanning including nodes for muscle and non-muscle end organs.
This network has 453 nodes and 4879 edges.
Tags: Biological, Connectome, Weighted

Geometric Invariants of Quantum Metrology
Christopher Wilson, John Drew Wilson, Luke Coffman, Shah Saad Alam, Murray J. Holland
https://arxiv.org/abs/2507.06128

Geometric Invariants of Quantum Metrology
We establish a previously unexplored conservation law for the Quantum Fisher Information Matrix (QFIM) expressed as follows; when the QFIM is constructed from a set of observables closed under commutation, i.e., a Lie algebra, the spectrum of the QFIM is invariant under unitary dynamics generated by these same operators. Each Lie algebra therefore endows any quantum state with a fixed "budget" of metrological sensitivity -- an intrinsic resource that we show, like optical squeezing in interfero…

The analytic bootstrap at finite temperature
Julien Barrat, Deniz N. Bozkurt, Enrico Marchetto, Alessio Miscioscia, Elli Pomoni
https://arxiv.org/abs/2506.06422

The analytic bootstrap at finite temperature
We propose new universal formulae for thermal two-point functions of scalar operators based on their analytic structure, constructed to manifestly satisfy all the bootstrap conditions. We derive a dispersion relation in the complexified time plane, which fixes the correlator up to an additive constant and theory-dependent dynamical information. At non-zero spatial separation we introduce a formula for the thermal two-point function obtained by summing over images of the dispersion relation resu…

celegans_2019: Complete C. elegans neurons (2019)
Networks among neurons of both the adult male and adult hermaphrodite worms C. elegans, constructed from electron microscopy series, to include directed edges (chemical) and undirected (gap junction), and spanning including nodes for muscle and non-muscle end organs.
This network has 575 nodes and 5306 edges.
Tags: Biological, Connectome, Weighted

Duality-symmetric D3-brane action with twisted self-dual 2-form doublet
Pichet Vanichchapongjaroen
https://arxiv.org/abs/2506.07219 https://

Duality-symmetric D3-brane action with twisted self-dual 2-form doublet
In this paper we apply the Sen formulation, which is originally developed for chiral form fields, to construct non-linear duality-symmetric actions in four dimensions. In particular, the duality-symmetric D3-brane action coupled to the type IIB supergravity background is constructed in the Sen formulation. Key features of the Sen formulation are also present in the duality-symmetric actions. For example, there are unphysical fields with the wrong sign of kinetic terms. These fields are uncouple…

trec_web: TREC WT10g (2003)
A web graph network originally constructed in 2003 as a testbed for information-retrieval techniques, including web search engines. Distributed by University of Glasgow.
This network has 1601787 nodes and 8063026 edges.
Tags: Informational, Web graph, Unweighted
https://networks.skewed.de/net…

trec_web: TREC WT10g (2003)
A web graph network originally constructed in 2003 as a testbed for information-retrieval techniques, including web search engines. Distributed by University of Glasgow.
This network has 1601787 nodes and 8063026 edges.
Tags: Informational, Web graph, Unweighted
https://networks.skewed.de/net…

This https://arxiv.org/abs/2501.09622 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Optimizing hypergraph product codes with random walks, simulated annealing and reinforcement learning
Hypergraph products are quantum low-density parity-check (LDPC) codes constructed from two classical LDPC codes. Although their dimension and distance depend only on the parameters of the underlying classical codes, optimizing their performance against various noise channels remains challenging. This difficulty partly stems from the complexity of decoding in the quantum setting. The standard, ad hoc approach typically involves selecting classical LDPC codes with large girth. In this work, we fo…

corporate_directors: Global corporate directors (2016)
Bipartite network of directors and the companies on whose boards they sit, spanning 54 countries worldwide, constructed from data collected by the Financial Times (c. Sept. 2016). Person nodes are annotated with age and gender. Company nodes are annotated with their country, sector, industry, and number of employees.
This network has 356638 nodes and 377060 edges.
Tags: Economic, Governance, Unweighted, Metadata

trec_web: TREC WT10g (2003)
A web graph network originally constructed in 2003 as a testbed for information-retrieval techniques, including web search engines. Distributed by University of Glasgow.
This network has 1601787 nodes and 8063026 edges.
Tags: Informational, Web graph, Unweighted
https://networks.skewed.de/net…

add_health: Adolescent health (ADD HEALTH) (1994)
A directed network of friendships obtained through a social survey of high school students in 1994. The ADD HEALTH data are constructed from the in-school questionnaire; 90,118 students representing 84 communities took this survey in 1994-95. Some communities had only one school; others had two. Where there are two schools in a community students from one school were allowed to name friends in the other, the "sister school".…

add_health: Adolescent health (ADD HEALTH) (1994)
A directed network of friendships obtained through a social survey of high school students in 1994. The ADD HEALTH data are constructed from the in-school questionnaire; 90,118 students representing 84 communities took this survey in 1994-95. Some communities had only one school; others had two. Where there are two schools in a community students from one school were allowed to name friends in the other, the "sister school".…