Tootfinder

Existence and Uniqueness Property On a Generalized Ledin-Brousseau Sum
Ivan Hadinata
https://arxiv.org/abs/2507.03813 https://arxiv.o…

Existence and Uniqueness Property On a Generalized Ledin-Brousseau Sum
In this paper, we present the existence and uniqueness property on a finite sum involving a polynomial and a homogeneous linear recurrence sequence. This finite sum is of the form $\sum_{k=1}^n P(k)s_{hk+r}$ where $n$ is a positive integer, $P(x)$ is a polynomial in $\mathbb C[x]$, $h$ and $r$ are some integers, and $(s_k)_{k\in\mathbb Z}$ is a homogeneous linear recurrence sequence of degree $m\geq 2$ with some constraints.

Topological $(\mathscr{F},\mathscr{G})-$shadowing property
Shital H. Joshi, Ekta Shah
https://arxiv.org/abs/2507.03982 https://arxiv.…

Topological $(\mathscr{F},\mathscr{G})-$shadowing property
We define the concept of $(\mathscr{F},\mathscr{G})-$shadowing property on uniform space and say it as a topological $(\mathscr{F},\mathscr{G})-$shadowing property. We show that topological shadowing, topological $(\mathscr{D},\mathscr{F}_t)-$shadowing, topological $(\mathscr{F}_t,\mathscr{F}_t)-$shadowing and topological $(\mathbb{N},\mathscr{F}_t)-$shadowing are equivalent in compact chain recurrent dynamical system. We also prove that if minimal points of $f$ are not dense in $X$ then the sy…

Data Driven Insights into Composition Property Relationships in FCC High Entropy Alloys
Nicolas Flores, Daniel Salas Mula, Wenle Xu, Sahu Bibhu, Daniel Lewis, Alexandra Eve Salinas, Samantha Mitra, Raj Mahat, Surya R. Kalidindi, Justin Wilkerson, James Paramore, Ankit Srivastiva, George Pharr, Douglas Allaire, Ibrahim Karaman, Brady Butler, Vahid Attari, Raymundo Arroyave

Data Driven Insights into Composition Property Relationships in FCC High Entropy Alloys
Structural High Entropy Alloys (HEAs) are crucial in advancing technology across various sectors, including aerospace, automotive, and defense industries. However, the scarcity of integrated chemistry, process, structure, and property data presents significant challenges for predictive property modeling. Given the vast design space of these alloys, uncovering the underlying patterns is essential yet difficult, requiring advanced methods capable of learning from limited and heterogeneous dataset…

Turnpike Property of a Linear-Quadratic Optimal Control Problem in Large Horizons with Regime Switching II: Non-Homogeneous Cases
Hongwei Mei, Rui Wang, Jiongmin Yong
https://arxiv.org/abs/2508.04993

Turnpike Property of a Linear-Quadratic Optimal Control Problem in Large Horizons with Regime Switching II: Non-Homogeneous Cases
This paper is concerned with an optimal control problem for a nonhomogeneous linear stochastic differential equation having regime switching with a quadratic functional in the large time horizon. This is a continuation of the paper \cite{Mei-Wang-Yong-2025}, in which the strong turnpike property was established for homogeneous linear systems with purely quadratic cost functionals. We extend the results to the current situation. It turns out that some of the results are new even for the cases wi…

HiPerMotif: Novel Parallel Subgraph Isomorphism in Large-Scale Property Graphs
Mohammad Dindoost, Oliver Alvarado Rodriguez, Bartosz Bryg, Ioannis Koutis, David A. Bader
https://arxiv.org/abs/2507.04130

HiPerMotif: Novel Parallel Subgraph Isomorphism in Large-Scale Property Graphs
Subgraph isomorphism, essential for pattern detection in large-scale graphs, faces scalability challenges in attribute-rich property graphs used in neuroscience, systems biology, and social network analysis. Traditional algorithms explore search spaces vertex-by-vertex from empty mappings, leading to extensive early-stage exploration with limited pruning opportunities. We introduce HiPerMotif, a novel hybrid parallel algorithm that fundamentally shifts the search initialization strategy. After …

Next year's G20 summit will take place at Trump property in Miami (Ben Johansen/Politico)
https://www.politico.com/news/2025/09/05/next-years-g20-summit-will-take-place-at-trump-property-in-miami-00548368
http://www.memeorandum.com/250905/p113#a250905p113

Folks, behold peter thiel’s property, Ohio’s Least Favorite Son, our Veepy Creepy:
“JD Vance’s team had the army corps of engineers take the unusual step of changing the outflow of a lake in Ohio to accommodate a recent boating excursion on a family holiday”
https://www.theguardian.…

A look at the impact of AI voice cloning on India's dubbing and voiceover sector, as artists demand consent, credit, and fair pay amid a lack of laws for AI use (Zico Ghosh/The Hollywood Reporter)
https://www.hollywoodreporter.com/movies/m

AI Is Replacing Voice Artists in India — and There Are No Local Laws to Stop It
As AI voice cloning in films becomes a reality, India’s dubbing artists are demanding consent, credit and fair pay: "You must understand that your voice is your intellectual property."

dom: Animal dominance archive (2022)
Animal dominance interaction data published over a century of research. The archive contains 434 agonistic interaction datasets, totaling over 241,000 interactions. A directed edge (i,j) corresponds to an antagonist interaction between i (winner) and j (loser). If a 'weight' edge property map exists, it counts the number of such interactions.
This network has 19 nodes and 172 edges.
Tags: Social, Animal, Weighted

Plans for D.C.-New York high-speed maglev train are dead
The Federal Railroad Administration has withdrawn support for a high-speed train project from D.C. to Baltimore,
saying conflicts over federal property and protected wildlife in the path of the proposed rail line are insurmountable.

The maglev train was supposed to be the first leg of a route connecting D.C. to New York City in under an hour.
It would use powerful magnetic forces that lift and propel trains ab…

Plans for D.C.-New York high-speed maglev train are dead for now
Gov. Wes Moore (D) expressed enthusiasm for the maglev train from D.C. to Baltimore, as did his Republican predecessor. The Trump administration is opposed.

Ashton Jeanty Eyes $12.5 Million Property With New Rookie Deal https://heavy.com/sports/nfl/las-vegas-raiders/ashton-jeanty-property/?adt_ei=[email]

A look at the impact of AI voice cloning on India's dubbing and voiceover sector, as artists demand consent, credit, and fair pay amid a lack of laws for AI use (Zico Ghosh/The Hollywood Reporter)
https://www.hollywoodreporter.com/movies/m

AI Is Replacing Voice Artists in India — and There Are No Local Laws to Stop It
As AI voice cloning in films becomes a reality, India’s dubbing artists are demanding consent, credit and fair pay: "You must understand that your voice is your intellectual property."

Finite groups in which every cyclic subgroup is the intersection of maximal subgroups
Andrea Lucchini
https://arxiv.org/abs/2508.04473 https://arxiv.org/pd…

Finite groups in which every cyclic subgroup is the intersection of maximal subgroups
We determine the structure of the finite groups with the property that every cyclic subgroup is the intersection of maximal subgroups, comparing this property with the one where all proper subgroups are intersections of maximal subgroups.

🇺🇦 #NowPlaying on KEXP's #SonicReducer
T.S.O.L.:
🎵 Property Is Theft
#TSOL

On the axioms for a unqiue factorization domain
Scott T. Chapman, Jim Coykendall
https://arxiv.org/abs/2507.05188 https://arxiv.org/p…

On the axioms for a unqiue factorization domain
With the growing evolution of the theory of non-unique factorization in integral domains and monoids, the study of several variations to the classical unique factorization domain (or UFD) property have become popular in the literature. Using one of these variations, the length-factorial property, it can be shown that part of the standard classical axioms used in the definition of a UFD is essentially superfluous.

from my link log —
A convex polyhedron without Rupert's property: a copy cannot pass via a straight hole through the body.
https://arxiv.org/abs/2508.18475
saved 2025-08-28

A convex polyhedron without Rupert's property
A three-dimensional convex body is said to have Rupert's property if its copy can be passed through a straight hole inside that body. In this work we construct a polyhedron which is provably not Rupert, thus we disprove a conjecture from 2017. We also find a polyhedron that is Rupert but not locally Rupert.

Intrinsic Fingerprint of LLMs: Continue Training is NOT All You Need to Steal A Model!
Do-hyeon Yoon, Minsoo Chun, Thomas Allen, Hans M\"uller, Min Wang, Rajesh Sharma
https://arxiv.org/abs/2507.03014

Intrinsic Fingerprint of LLMs: Continue Training is NOT All You Need to Steal A Model!
Large language models (LLMs) face significant copyright and intellectual property challenges as the cost of training increases and model reuse becomes prevalent. While watermarking techniques have been proposed to protect model ownership, they may not be robust to continue training and development, posing serious threats to model attribution and copyright protection. This work introduces a simple yet effective approach for robust LLM fingerprinting based on intrinsic model characteristics. We d…

All rectangles exhibit canonical Ramsey property
Gennian Ge, Yang Shu, Zixiang Xu
https://arxiv.org/abs/2508.02465 https://arxiv.org/pdf/2508.02465

All rectangles exhibit canonical Ramsey property
In a seminal work, Cheng and Xu proved that for any positive integer \(r\), there exists an integer \(n_0\), independent of \(r\), such that every \(r\)-coloring of the \(n\)-dimensional Euclidean space \(\mathbb{E}^n\) with \(n \ge n_0\) contains either a monochromatic or a rainbow congruent copy of a square. This phenomenon of dimension-independence was later formalized as the canonical Ramsey property by Geheér, Sagdeev, and Tóth, who extended the result to all hypercubes, and to rectangle…

Given Artisan Electrics' rep I was expecting this one to come back as firmly their error, but it seems that UK Power Networks have admitted a clerical error and agreed to pay to upgrade a domestic property to 3 phase including all the internal work on the customer's property. Can't be cheap.
https://www.youtube.com/wa…

Embezzlement as a "Self-Test" for Infinite Copies of Entangled States
Li Liu
https://arxiv.org/abs/2509.05036 https://arxiv.org/pdf/2509.05036

Embezzlement as a "Self-Test" for Infinite Copies of Entangled States
We investigate the operator-algebraic structure underlying entanglement embezzlement, a phenomenon where a fixed entangled state (the catalyst) can be used to generate arbitrary target entangled states without being consumed. We show that the ability to embezzle a target state $g$ imposes strong internal constraints on the catalyst state $f$: specifically, $f$ must contain infinitely many mutually commuting, locally structured copies of $g$. This property is formalized using C*-algebraic tools …

On integrable structure of the null string in (anti-)de Sitter space
D. V. Uvarov
https://arxiv.org/abs/2508.04158 https://arxiv.org/pdf/2508.04158

On integrable structure of the null string in (anti-)de Sitter space
Presently integrability turned the key property in the study of duality between superconformal gauge theories and strings in anti-de Sitter superspaces. Complexity of the study of integrable structure in string theory is caused by complicated dependence of background fields of the Type II supergravity multiplets, with which strings interact, on the superspace coordinates. This explains an interest to study of limiting cases, in which superstring equations simplify. In the present work considere…

I haven’t added an example of how you implement migrations with Kitten’s¹ built-in JSDB database² yet but here’s one that I just used when renaming a field (property) in a table (JavaScript object) from “account” to “data” that illustrates the general granular approach you should take within persisted instances of JavaScript classes.
This is, of course, an advanced use case of the built-in JavaScript database that all Kitten apps have.
Kitten is simple for simple use cases. So ch…

Agency, Affordances, and Enculturation of Augmentation Technologies
Ann Hill Duin, Isabel Pedersen
https://arxiv.org/abs/2508.04725 https://arxiv.org/pdf/2…

Agency, Affordances, and Enculturation of Augmentation Technologies
Augmentation technologies are undergoing a process of enculturation due to many factors, one being the rise of artificial intelligence (AI), or what the World Intellectual Property Organization (WIPO) terms the AI wave or AI boom. Chapter 3 focuses critical attention on the hyped assumption that sophisticated, emergent, and embodied augmentation technologies will improve lives, literacy, cultures, arts, economies, and social contexts. The chapter begins by discussing the problem of ambiguity wi…

Statistical inference for core-periphery structures
Eric Yanchenko, Srijan Sengupta, Diganta Mukherjee
https://arxiv.org/abs/2508.04730 https://arxiv.org/p…

Statistical inference for core-periphery structures
Core-periphery (CP) structure is an important meso-scale network property where nodes group into a small, densely interconnected {core} and a sparse {periphery} whose members primarily connect to the core rather than to each other. While this structure has been observed in numerous real-world networks, there has been minimal statistical formalization of it. In this work, we develop a statistical framework for CP structures by introducing a model-agnostic and generalizable population parameter w…

FB-Diff: Fourier Basis-guided Diffusion for Temporal Interpolation of 4D Medical Imaging
Xin You, Runze Yang, Chuyan Zhang, Zhongliang Jiang, Jie Yang, Nassir Navab
https://arxiv.org/abs/2507.04547

FB-Diff: Fourier Basis-guided Diffusion for Temporal Interpolation of 4D Medical Imaging
The temporal interpolation task for 4D medical imaging, plays a crucial role in clinical practice of respiratory motion modeling. Following the simplified linear-motion hypothesis, existing approaches adopt optical flow-based models to interpolate intermediate frames. However, realistic respiratory motions should be nonlinear and quasi-periodic with specific frequencies. Intuited by this property, we resolve the temporal interpolation task from the frequency perspective, and propose a Fourier b…

Unconditional energy dissipation of Strang splitting for the matrix-valued Allen-Cahn equation
Chaoyu Quan, Tao Tang, Dong Wang
https://arxiv.org/abs/2508.03992 https://

Unconditional energy dissipation of Strang splitting for the matrix-valued Allen-Cahn equation
The energy dissipation property of the Strang splitting method was first demonstrated for the matrix-valued Allen-Cahn (MAC) equation under restrictive time-step constraints [J. Comput. Phys. 454, 110985, 2022]. In this work, we eliminate this limitation through a refined stability analysis framework, rigorously proving that the Strang splitting method preserves the energy dissipation law unconditionally for arbitrary time steps. The refined proof hinges on a precise estimation of the double-we…

Anisotropic modifications to the transport phenomena and observables in a hot QCD medium at finite baryon asymmetry
Shubhalaxmi Rath
https://arxiv.org/abs/2508.04934 https://

Anisotropic modifications to the transport phenomena and observables in a hot QCD medium at finite baryon asymmetry
We have studied how the transport of charge and heat as well as associated observables become influenced by a weak-momentum anisotropy arising due to the asymptotic expansion of baryon asymmetric matter in the initial stages of heavy ion collisions. This study facilitates the understanding of the local equilibrium property of the medium through the Knudsen number, and explores the correlation between the heat flow and the charge flow through the Lorenz number in the Wiedemann-Franz law for an a…

On a local property of fences and fans
David S. Lipham
https://arxiv.org/abs/2508.03530 https://arxiv.org/pdf/2508.03530

On a local property of fences and fans
Two closely related classes of topological spaces are fences and fans. A fence is a compact metric space whose components are either arcs or singletons. A fan is a continuum formed by joining arcs at a common vertex, in such a way that intersections of subcontinua are always connected. We prove that every fence can be embedded in the plane and that both fences and fans admit a basis consisting of pierced open sets. This resolves a question by Iztok Banič, Goran Erceg, Ivan Jelić, Judy Kennedy…

Imagine if the Federal Government actually invested in #AffordableHousing. Building government owned rent controlled apartments, providing land for leasehold housing where property value are not driven by the market or providing funding for multiplexes development where individual families hold shares in the building. Imagine a federal housing factory in every province or territory that builds modular homes that can only be purchased by families, not investors.

Short-Range Ordering and Lattice Distortions in Entropy-Stabilized Oxides
Bo Jiang, De-Ye Lin, Gerald R. Bejger, Stephen C. Purdy, Yuanpeng Zhang, Xin Wang, Jon-Paul Maria, Christina M. Rost, Katharine Page
https://arxiv.org/abs/2507.03804

Short-Range Ordering and Lattice Distortions in Entropy-Stabilized Oxides
Entropy-stabilized oxides (ESOs), driven by high configurational entropy, have gained phenomenological research interest due to their potential for tailoring structure property relationships. However, the chemical short range ordering (SRO) and its interplay with local lattice distortion (LD) remain to be explored, although they could diminish the configurational entropy and potentially impact structure property relationships. A combination of experimental and theoretical approaches are employe…

A Galois correspondence for automorphism groups of structures with the Lascar Property
Gianluca Paolini, Federico Pisciotta
https://arxiv.org/abs/2506.23586

A Galois correspondence for automorphism groups of structures with the Lascar Property
Generalizing the $ω$-categorical context, we introduce a notion, which we call the Lascar Property, that allows for a fine analysis of the topological isomorphisms between automorphism groups of countable structures satisfying this property. In particular, under the assumption of the Lascar Property, we exhibit a definable Galois correspondence between pointwise stabilizers of finitely generated Galois algebraically closed subsets of $M$ and finitely generated Galois algebraically closed subse…

Mass Proxy Quality of Massive Halo Properties in the IllustrisTNG and FLAMINGO Simulations: I. Hot Gas
Eddie Aljamal, August E. Evrard, Arya Farahi, Annalisa Pillepich, Dylan Nelson, Joop Schaye, Matthieu Schaller, Joey Braspenning
https://arxiv.org/abs/2507.05176

Mass Proxy Quality of Massive Halo Properties in the IllustrisTNG and FLAMINGO Simulations: I. Hot Gas
We examine scale and redshift dependence of mass-property relations (MPRs) for five hot gas properties of two large group- and cluster-scale halo samples realized by the IllustrisTNG, TNG-Cluster and FLAMINGO cosmological hydrodynamical simulations. For intrinsic properties of i) hot gas mass ($M_{\rm gas}$), ii) spectroscopic-like temperature ($T_{\rm sl}$), iii) soft-band X-ray luminosity ($L_{\rm X}$), and iv) X-ray ($Y_{\rm X}$) and v) Sunyaev-Zel'dovich ($Y_{\rm SZ}$) thermal energies, we …

Restricted Quasiconvexity Isometry Property for Symmetric $\alpha$-Stable Random Matrices
Sunder Ram Krishnan
https://arxiv.org/abs/2507.02649 https://

Restricted Quasiconvexity Isometry Property for Symmetric $α$-Stable Random Matrices
We formulate a generalization of the Restricted Isometry Property (RIP) referred to as the Restricted Quasiconvexity Isometry Property (RQIP) for alpha stable random projections with $0<α<1$. A lower bound on the number of rows for RQIP to hold for random matrices whose entries are drawn from a symmetric $α$-stable ($SαS$) distribution is derived. The proof leverages two key components: a concentration inequality for empirical fractional moments of $SαS$ variables and a covering number boun…

The cheap embedding property
Kevin Li, Clara Loeh, Marco Moraschini, Roman Sauer, Matthias Uschold
https://arxiv.org/abs/2508.01347 https://arxiv.org/pdf/2…

The cheap embedding property
We provide upper bounds for logarithmic torsion homology growth and Betti number growth of groups, phrased in the language of measured group theory.

Australian Property Investment Podcast
Great Australian Pods Podcast Directory: #GreatAusPods

A new proof of a Liouville theorem for the one dimensional Gross-Pitaevskii equation
Micha{\l} Kowalczyk, Yvan Martel
https://arxiv.org/abs/2507.03966 http…

A new proof of a Liouville theorem for the one dimensional Gross-Pitaevskii equation
The asymptotic stability of the black and dark solitons of the one-dimensional Gross-Pitaevskii equation was proved by Béthuel, Gravejat and Smets (Ann. Sci. Éc. Norm. Supér. 48 (2015)) and Gravejat and Smets (Proc. Lond. Math. Soc. 111 (2015)), using a rigidity property in the vicinity of solitons. We provide an alternate proof of the Liouville theorems in the above articles using a factorization identity for the linearized operator which trivializes the spectral analysis.

Old joke, retooled for a new age.

A Common Fixed Point Theorem For Weakly Compatible Mappings Satisfying Property (E. A)
G. V. R. Babu, Alemayehu G. Negash
https://arxiv.org/abs/2508.00839 https://

A Common Fixed Point Theorem For Weakly Compatible Mappings Satisfying Property (E. A)
The aim of this paper is to prove the existence of common fixed points for a pair of weakly compatible selfmaps satisfying weakly contractive condition and property (E. A). In this context, first we modify Beg and Abbas theorem (\cite{Beg}, Theorem 2.5). Our results improve the corresponding results of Beg and Abbas

Shrinkers of the area-preserving curve-shortening flow: Existence and saddle-point property
Nikita Cernomazov
https://arxiv.org/abs/2508.00352 https://arxi…

Shrinkers of the area-preserving curve-shortening flow: Existence and saddle-point property
We consider homothetic evolutions of the area-preserving curve-shortening flow (APCSF), that is, classical curve shortening flow with an additional non-local forcing term. By using known results on $λ$-curves, we prove the existence of non-circular shrinkers for this flow. In our first main result, we present a partial classification scheme, similar to the well-known Abresch-Langer classification for shrinkers of curve-shortening flow. Finally, we also deduce a saddle-point property for all no…

No Eigenvalues Outside the Limiting Support of Generally Correlated and Noncentral Sample Covariance Matrices
Zeyan Zhuang, Xin Zhang, Dongfang Xu, Shenghui Song
https://arxiv.org/abs/2507.03356

No Eigenvalues Outside the Limiting Support of Generally Correlated and Noncentral Sample Covariance Matrices
Spectral properties of random matrices play an important role in statistics, machine learning, communications, and many other areas. Engaging results regarding the convergence of the empirical spectral distribution (ESD) and the ``no-eigenvalue'' property have been obtained for random matrices with different correlation structures. However, the related spectral analysis for generally correlated and noncentral random matrices is still incomplete, and this paper aims to fill this research gap. Sp…

Cone-dependent retro and specular Andreev reflections in AA-stacked bilayer graphene
Wei-Tao Lu, Qing-Feng Sun
https://arxiv.org/abs/2509.04841 https://arx…

Cone-dependent retro and specular Andreev reflections in AA-stacked bilayer graphene
We theoretically study the Andreev reflection (AR) in AA-stacked bilayer graphene/superconductor (AABG/SC) junction. AABG has a linear gapless energy band with two shifted Dirac cones and the electronic states are described by the cone indices. The results indicate that the property of AR strongly depends on the cone degree of freedom. In the absence of the inter-layer potential difference, only intra-cone AR and normal reflection (NR) could occur, and the inter-cone process is forbidden. By ad…

Additive properties and absorption laws for generalized inverses
Yukun Zhou, Jianlong Chen, Nestor Thome
https://arxiv.org/abs/2508.04363 https://arxiv.org…

Additive properties and absorption laws for generalized inverses
Let $a,~f$ be elements in a ring with pseudo core inverses $a^{\scriptsize\textcircled{\tiny D}}$, $f^{\scriptsize\textcircled{\tiny D}}$, and let $b=f-a$. We prove that the absorption law $a^{\scriptsize\textcircled{\tiny D}}(a+f)f^{\scriptsize\textcircled{\tiny D}}=a^{\scriptsize\textcircled{\tiny D}}+f^{\scriptsize\textcircled{\tiny D}}$ holds if and only if $1+a^{\scriptsize\textcircled{\tiny D}}b$ is invertible and the additive property $f^{\scriptsize\textcircled{\tiny D}}=(1+a^{\scriptsi…

Berlin-based Buena, which is building AI-powered software to automate property management tasks, raised $58M, including a Series A led by GV (Cate Lawrence/Tech.eu)
https://tech.eu/2025/07/23/gv-and-20vc

GV and 20VC back Buena’s vision to reinvent property management through AI-powered rollups
Berlin proptech Buena has raised a total of $58 million in funding, including a Series A funding round led by GV, with participation from 20VC, Stride, and Capnamic.  Property management is incredibly fragmented, with over 30,000 firms in Germany employing an average of just five people each… Meanwhile, the industry is notorious for talent shortage and record-low customer NPS scores, with 96.3 per cent of German property managers.  Buena is changing the industry in two ways: first, by bui…

un_migrations: UN migration stock (2015)
A network of migration between countries, collected by the United Nations. A directed edge gives the flow of migration, and an edge property gives the number of migrants, for each given year and sex. Estimates are presented for 1990, 1995, 2000, 2005, 2010 and 2015 and are available for all countries and areas of the world. The estimates are based on official statistics on the foreign-born or the foreign population.
This network has 232 no…

Ideology, institutions, and economic growth: panel evidence 1995 2022
Eduardo Koffmann Jopia, Patricia Galilea Aranda
https://arxiv.org/abs/2509.04532 https://

Ideology, institutions, and economic growth: panel evidence 1995 2022
Does it matter whether a government is "left wing" or "right wing" for economic growth? Using a panel of 113 countries (1995 2022), we combine: (i) the economic ideology of the executive branch (V Dem), (ii) the disaggregated institutional quality of the economic freedom index (Heritage), separating a core institutional block (HN: property rights, government integrity, judicial effectiveness) from a block of liberalization policies (HL: trade/financial openness, regulatory efficiency, size of g…

Fuzzy Fault Trees: the Fast and the Formal
Thi Kim Nhung Dang, Benedikt Peterseim, Milan Lopuha\"a-Zwakenberg, Mari\"elle Stoelinga
https://arxiv.org/abs/2507.02886 ht…

Fuzzy Fault Trees: the Fast and the Formal
We provide a rigorous framework for handling uncertainty in quantitative fault tree analysis based on fuzzy theory. We show that any algorithm for fault tree unreliability analysis can be adapted to this framework in a fully general and computationally efficient manner. This result crucially leverages both the alpha-cut representation of fuzzy numbers and the coherence property of fault trees. We evaluate our algorithms on an established benchmark of synthetic fault trees, demonstrating their p…

Securing Transformer-based AI Execution via Unified TEE and Crypto-protected Accelerators
Jiaqi Xue, Yifei Zhao, Mengxin Zheng, Xun Chen, Fan Yao, Yan Solihin, Qian Lou
https://arxiv.org/abs/2507.03278

Securing Transformer-based AI Execution via Unified TEE and Crypto-protected Accelerators
Recent advances in Transformer models, e.g., large language models (LLMs), have brought tremendous breakthroughs in various artificial intelligence (AI) tasks, leading to their wide applications in many security-critical domains. Due to their unprecedented scale and prohibitively high development cost, these models have become highly valuable intellectual property for AI stakeholders and are increasingly deployed via machine learning as a service (MLaaS). However, MLaaS often runs on untrusted …

On the construction of Calabi-Yau operators
Stefan Reiter
https://arxiv.org/abs/2508.03299 https://arxiv.org/pdf/2508.03299

On the construction of Calabi-Yau operators
Given a differential operator of geometric origin there exists a list of operations that preserve this property, e.g., tensor products, pull-backs, push-forwards and the middle convolution. We apply certain sequences of these operations to construct known and new examples of Calabi-Yau operators.

On ADEG-polyhedra in hyperbolic spaces
Naomi Bredon
https://arxiv.org/abs/2507.05153 https://arxiv.org/pdf/2507.05153

On ADEG-polyhedra in hyperbolic spaces
In this paper, we establish that the non-zero dihedral angles of hyperbolic Coxeter polyhedra of large dimensions are not arbitrarily small. Namely, for dimensions $n\geq 32$, they are of the form $\fracπ{m}$ with $m\leq 6$. Moreover, this property holds in all dimensions $n\geq 7$ for Coxeter polyhedra with mutually intersecting facets. Then, we develop a constructive procedure tailored to Coxeter polyhedra with prescribed dihedral angles, from which we derive the complete classification of A…

Shadowing With Small Diameter Sets Of Bounded Cardinality
Jonathan Meddaugh, Elyssa Stephens
https://arxiv.org/abs/2509.04312 https://arxiv.org/pdf/2509.04…

Shadowing With Small Diameter Sets Of Bounded Cardinality
We examine dynamical systems with the property that pseudo-orbits can be traced by small diameter sets with bounded cardinality. In particular, we show that mixing sofic subshifts and surjective dynamical systems with the specification property have this property, and in these systems, it is sufficient to consider small sets of cardinality no more than two. We also prove that a more general class of subshifts, the subshifts of quasi-finite type, exhibit this property.

NourID : A Digital Energy Identity Framework for Efficient Subsidy Allocation in Morocco
Fatima Zahra Iguenfer, Younes Lamhamedi Cherradi, Nada Belkhayat, Hiba Jebbar
https://arxiv.org/abs/2507.04424

NourID+: A Digital Energy Identity Framework for Efficient Subsidy Allocation in Morocco
We introduce NourID+, a digital energy identity framework that addresses Morocco's need for trusted energy subsidy allocation through authenticated digital identity integration. NourID+ creates a strong foundation for future subsidy programs by unifying three government-issued and digitalized credentials: Moroccan national identity cards (CIN), cadastral plans, and property ownership certificates are transformed into unique digital energy IDs (DE-IDs) that map authenticated identities with spec…

Discover the power of property-based testing in R with the #quickcheck package! Seamlessly integrates with #testthat and offers a variety of generators for atomic vectors, lists, and tibbles. Perfect for ensuring your code's reliability. Check it out:

In-Situ Soil-Property Estimation and Bayesian Mapping with a Simulated Compact Track Loader
W. Jacob Wagner, Ahmet Soylemezoglu, Katherine Driggs-Campbell
https://arxiv.org/abs/2507.22356

In-Situ Soil-Property Estimation and Bayesian Mapping with a Simulated Compact Track Loader
Existing earthmoving autonomy is largely confined to highly controlled and well-characterized environments due to the complexity of vehicle-terrain interaction dynamics and the partial observability of the terrain resulting from unknown and spatially varying soil conditions. In this chapter, a a soil-property mapping system is proposed to extend the environmental state, in order to overcome these restrictions and facilitate development of more robust autonomous earthmoving. A GPU accelerated el…

On the $p$-order Semismoothness of the Metric Projection onto Slices of the Positive Semidefinite Cone
Ruoning Chen, Jiaming Ma, Defeng Sun
https://arxiv.org/abs/2509.03977 http…

On the $p$-order Semismoothness of the Metric Projection onto Slices of the Positive Semidefinite Cone
The metric projection onto the positive semidefinite (PSD) cone is strongly semismooth, a property that guarantees local quadratic convergence for many powerful algorithms in semidefinite programming. In this paper, we investigate whether this essential property holds for the metric projection onto an affine slice of the PSD cone, which is the operator implicitly used by many algorithms that handle linear constraints directly. Although this property is known to be preserved for the second-order…

Criminal Property Rights Suppress Violence in Urban Drug Markets: Theory and Evidence from Merseyside, U.K
Paolo Campana. Andrea Giovannetti, Paolo Pin, Roberto Rozzi
https://arxiv.org/abs/2508.02561

Criminal Property Rights Suppress Violence in Urban Drug Markets: Theory and Evidence from Merseyside, U.K
In this work, we provide empirical evidence on organized criminal groups' (OCGs) behavior across the Liverpool area in the U.K. (Merseyside). We find that violent crimes concerning OCGs concentrate in the areas yielding the highest revenue, while OGCs primarily control areas yielding middle or low revenue. We explain and generalize these empirical observations with a theoretical model examining how OCGs strategically select which area to exploit based on expected revenue and the presence of oth…

The Maxwell--Born--Infeld Theory: Presence of Finite-Energy Electric Point Charge and Absence of Monopole and Dyon
Tengyang Liu, Yisong Yang
https://arxiv.org/abs/2509.04765 htt…

The Maxwell--Born--Infeld Theory: Presence of Finite-Energy Electric Point Charge and Absence of Monopole and Dyon
We formulate a nonlinear electrodynamic theory which may be viewed as a weighted theory minimally interpolating the classical Maxwell and Born--Infeld theories. We show that, in contrast to the Born--Infeld theory, this new theory accommodates a finite-energy electric point charge, like that in the Born--Infeld theory, but does not accommodate a finite-energy magnetic point charge, known as the monopole, thereby exhibiting an electromagnetic asymmetry property, unlike that in the Born--Infeld t…

Two-sided homological properties of special and one-relator monoids
Robert D. Gray, Benjamin Steinberg
https://arxiv.org/abs/2507.04819 https://

Two-sided homological properties of special and one-relator monoids
A monoid presentation is called special if the right-hand side of each defining relation is equal to 1. We prove results which relate the two-sided homological finiteness properties of a monoid defined by a special presentation with those of its group of units. Specifically we show that the monoid enjoys the homological finiteness property bi-$\mathrm{FP}_n$ if its group of units is of type $\mathrm{FP}_n$. We also obtain results which relate the Hochschild cohomological dimension of the monoid…

Echo State Networks as State-Space Models: A Systems Perspective
Pradeep Singh, Balasubramanian Raman
https://arxiv.org/abs/2509.04422 https://arxiv.org/pd…

Echo State Networks as State-Space Models: A Systems Perspective
Echo State Networks (ESNs) are typically presented as efficient, readout-trained recurrent models, yet their dynamics and design are often guided by heuristics rather than first principles. We recast ESNs explicitly as state-space models (SSMs), providing a unified systems-theoretic account that links reservoir computing with classical identification and modern kernelized SSMs. First, we show that the echo-state property is an instance of input-to-state stability for a contractive nonlinear SSM…

"Zoopla and Vauxhall partnership to offer EV-specific tools in property search"
#UK #UnitedKingdom #Zoopla #Vauxhall

Querying Attack-Fault-Defense Trees: Property Specification in Smart Grid and Aerospace Case Studies
Reza Soltani, Stefano M. Nicoletti, Milan Lopuha\"a-Zwakenberg, Mari\"elle Stoelinga
https://arxiv.org/abs/2506.23789

Querying Attack-Fault-Defense Trees: Property Specification in Smart Grid and Aerospace Case Studies
This paper introduces AFDL, a logic-based framework for reasoning about safety, security, and defense interactions in Attack-Fault-Defense Trees, which is a model that captures all safety, security, and defense domains in a single framework. We showcase both AFDL and propose a structured domain specific query language, LangAFDL, which enables domain experts to express complex analysis goals through intuitive templates. LangAFDL supports both Boolean and quantified queries as well as minimal cut…

A Linear Time Algorithm for Finding Minimum Flip Sequences between Plane Spanning Paths in Convex Point Sets
Oswin Aichholzer, Joseph Dorfer
https://arxiv.org/abs/2507.02740

A Linear Time Algorithm for Finding Minimum Flip Sequences between Plane Spanning Paths in Convex Point Sets
We provide a linear time algorithm to determine the flip distance between two plane spanning paths on a point set in convex position. At the same time, we show that the happy edge property does not hold in this setting. This has to be seen in contrast to several results for reconfiguration problems where the absence of the happy edge property implies algorithmic hardness of the flip distance problem. Further, we show that our algorithm can be adapted for (1) compatible flips (2) local flips and…

A quick bit of journalism reveals that at least three members of Trump's cabinet claimed more than one property as their primary residence,
and I'm starting to wonder whether Trump's attacks on Lisa Cook reflect a sincere concern about mortgage fraud.
https://www.propublica.org/article/tr…

Trump Is Accusing Foes With Multiple Mortgages of Fraud. Records Show 3 of His Cabinet Members Have Them.
The White House has targeted opponents, including a Fed governor, for having more than one primary residence on their loan papers. ProPublica found that, in one case, a Trump cabinet secretary got two such mortgages in quick succession.

An asymptotic-preserving active flux scheme for the hyperbolic heat equation in the diffusive scaling
Junming Duan, Wasilij Barsukow, Christian Klingenberg
https://arxiv.org/abs/2508.05166

An asymptotic-preserving active flux scheme for the hyperbolic heat equation in the diffusive scaling
The Active Flux (AF) method is a compact, high-order finite volume scheme that enhances flexibility by introducing point values at cell interfaces as additional degrees of freedom alongside cell averages. The method of lines is employed here for temporal discretization. A common approach for updating point values relies on the Jacobian Splitting (JS) method, which incorporates upwinding. A key advantage of the AF method over standard finite volume schemes is its structure-preserving property, m…

Betti Numbers and Formal Local Cohomology Modules
Behruz Sadeqi
https://arxiv.org/abs/2508.05051 https://arxiv.org/pdf/2508.05051

Betti Numbers and Formal Local Cohomology Modules
This article investigates the relationship between Betti numbers of finitely generated modules over a Noetherian local ring $(R, \mathfrak{m})$ and the structure of formal local cohomology modules. We establish a connection between the vanishing of formal local cohomology and the depth of a module, generalizing classical results. The main theorem links the Betti numbers to the Artinian property of formal local cohomology modules, and we provide applications to Cohen-Macaulay rings. Original pro…

Moments of density-dependent branching processes and their genealogy
Mathilde Andr\'e, F\'elix Foutel-Rodier, Emmanuel Schertzer
https://arxiv.org/abs/2509.05231 https:/…

Moments of density-dependent branching processes and their genealogy
A density-dependent branching process is a particle system in which individuals reproduce independently, but in a way that depends on the current population size. This feature can model a wide range of ecological interactions at the cost of breaking the branching property. We propose a general approach for studying the genealogy of these models based on moments. Building on a recent work of Bansaye, we show how to compute recursively these moments in a similar spirit to the many-to-few formula …

Sober topologies on a set
Xiangrui Li, Qingguo Li, Dongsheng Zhao
https://arxiv.org/abs/2508.05419 https://arxiv.org/pdf/2508.05419

Sober topologies on a set
The collection of all topologies on a set X forms a complete lattice with respect to the inclusion order, which have been investigated by many researchers. Sobriety is one of the core and extensively studied properties in non-Hausdorff topology. This property plays a crucial role in characterizing the spectral spaces of commutative rings and topological spaces determined by their lattices of open sets. In this paper, we investigate the statute of sober topologies in the complete lattice of all …

Generalizing blocking semiovals in finite projective planes
Marilena Crupi, Antonino Ficarra
https://arxiv.org/abs/2507.05037 https://

Generalizing blocking semiovals in finite projective planes
Blocking semiovals and the determination of their (minimum) sizes constitute one of the central research topics in finite projective geometry. In this article we introduce the concept of blocking set with the $r_\infty$-property in a finite projective plane $\text{PG}(2,q)$, with $r_\infty$ a line of $\text{PG}(2,q)$ and $q$ a prime power. This notion greatly generalizes that of blocking semioval. We address the question of determining those integers $k$ for which there exists a blocking set of…

Meanwhile… https://mastodon.social/@EndIsraeliApartheid/114971573848166325

Approximation properties and quantitative estimation for uniform ball-covering property of operator spaces
Qiyao Bao, Rui Liu, Jie Shen
https://arxiv.org/abs/2507.02261

Approximation properties and quantitative estimation for uniform ball-covering property of operator spaces
In this paper, by dilation technique on Schauder frames, we extend Godefroy and Kalton's approximation theorem (1997), and obtain that a separable Banach space has the $λ$-unconditional bounded approximation property ($λ$-UBAP) if and only if, for any $\varepsilon>0$, it can be embeded into a $(λ+\varepsilon)$-complemented subspace of a Banach space with an $1$-unconditional finite-dimensional decomposition ($1$-UFDD). As applications on ball-covering property (BCP) (Cheng, 2006) of operator…

A Lasry-Lions envelope approach for mathematical programs with complementarity constraints
Jia Wang, Andreas Themelis, Ivan Markovsky, Panagiotis Patrinos
https://arxiv.org/abs/2507.04694

A Lasry-Lions envelope approach for mathematical programs with complementarity constraints
We propose a homotopy method for solving mathematical programs with complementarity constraints (CCs). The indicator function of the CCs is relaxed by a Lasry-Lions double envelope, an extension of the Moreau envelope that enjoys an additional smoothness property that makes it amenable to fast optimization algorithms. The proposed algorithm mimics the behavior of homotopy methods for systems of nonlinear equations or penalty methods for constrained optimization: it solves a sequence of smooth s…

Quantum Neural Network applications to Protein Binding Affinity Predictions
Erico Souza Teixeira, Lucas Barros Fernandes, Yara Rodrigues In\'acio
https://arxiv.org/abs/2508.03446

Quantum Neural Network applications to Protein Binding Affinity Predictions
Binding energy is a fundamental thermodynamic property that governs molecular interactions, playing a crucial role in fields such as healthcare and the natural sciences. It is particularly relevant in drug development, vaccine design, and other biomedical applications. Over the years, various methods have been developed to estimate protein binding energy, ranging from experimental techniques to computational approaches, with machine learning making significant contributions to this field. Altho…

un_migrations: UN migration stock (2015)
A network of migration between countries, collected by the United Nations. A directed edge gives the flow of migration, and an edge property gives the number of migrants, for each given year and sex. Estimates are presented for 1990, 1995, 2000, 2005, 2010 and 2015 and are available for all countries and areas of the world. The estimates are based on official statistics on the foreign-born or the foreign population.
This network has 232 no…

Simulations of dielectric permittivity of water by Machine Learned Potentials with long-range Coulombic interactions
Kehan Cai, Chunyi Zhang, Xifan Wu
https://arxiv.org/abs/2508.04628

Simulations of dielectric permittivity of water by Machine Learned Potentials with long-range Coulombic interactions
The dielectric permittivity of liquid water is a fundamental property that underlies its distinctive behaviors in numerious physical, biological, and chemical processes. Within a machine learning framework, we present a unified approach to compute the dielectric permittivity of water, systematically incorporating various electric boundary conditions. Our method employs a long-range-inclusive deep potential trained on data from hybrid density functional theory calculations. Dielectric response i…

The Property Trio (Formerly The Property Planner, Buyer And Professor)
Great Australian Pods Podcast Directory: https://www.greataustralianpods.com/the-property-planner-buyer-and-professor/

from my link log —
CSS font-size-adjust is useful.
https://matklad.github.io/2025/07/16/font-size-adjust.html
saved 2025-07-23

General base change for relative Du Bois complexes
Caleb Ji, S\'andor Kov\'acs
https://arxiv.org/abs/2508.02848 https://arxiv.org/pdf/2508.02848

General base change for relative Du Bois complexes
A partial answer is given to a question raised by Kovács and Taji in arxiv:2307.07192, namely that the relative Du Bois complex of a family parametrized by a non-singular curve commutes with base change to a general point on the base. It is also shown that this property usually fails for special points.

Massey products and unipotent extensions with restricted ramification
Oussama Hamza (HIT), Donghyeok Lim (FEMTO-ST, UMLP), Christian Maire (FEMTO-ST, UMLP)
https://arxiv.org/abs/2508.03233

Massey products and unipotent extensions with restricted ramification
We fix a prime p and construct new cases of pro-p extensions of number fields with restricted ramification and splitting, whose Galois groups decompose as coproducts of pro-p absolute Galois groups of local fields. As a consequence, these pro-p extensions satisfy the strong Massey vanishing property and thus admit large unipotent quotients.

Gevrey KAM equilibria for quasi-periodic long-range Frenkel-Kontorova models
Yujia An, Xifeng Su
https://arxiv.org/abs/2508.05147 https://arxiv.org/pdf/250…

Gevrey KAM equilibria for quasi-periodic long-range Frenkel-Kontorova models
We consider models of one-dimensional chains of non-nearest neighbor and many-body interacting particles subjected to quasi-periodic media. We extend the results in \cite{12Su&delaLlavelongrange} from analytic to Gevrey regularity potentials. More precisely, we establish an a posteriori KAM theorem showing that in the Gevrey topology, given an approximate solution of equilibrium equation, which satisfies some appropriate non-degeneracy conditions and decay property, then there is a true solutio…

Uniform convergence of distance functionals under remetrization and infima of hyperspace topologies
Yogesh Agarwal, Varun Jindal
https://arxiv.org/abs/2508.04328 https://…

Uniform convergence of distance functionals under remetrization and infima of hyperspace topologies
The objective of this paper is twofold. In the first half of the paper, we investigate upper parts of the hyperspace convergences determined by uniform convergence of distance functionals on a bornology under different metrizations of a metrizable space. To do this, a new covering property associated with the underlying bornology is introduced. An independent study of this new covering notion in relation to some well-known notions, such as strong uniform continuity, is also presented. In the se…

Local-global correlations of dynamics on disordered energy landscapes
Jacob Calvert, Dana Randall
https://arxiv.org/abs/2508.04501 https://arxiv.org/pdf/25…

Local-global correlations of dynamics on disordered energy landscapes
The stationary distribution of a continuous-time Markov chain generally arises from a complicated global balance of probability fluxes. Nevertheless, empirical evidence shows that the effective potential, defined as the negative logarithm of the stationary distribution, is often highly correlated with a simple local property of a state: the logarithm of its exit rate. To better understand why and how typically this correlation is high, we study reversible reaction kinetics on energy landscapes …

Polynomial Property Testing
Lior Gishboliner, Asaf Shapira
https://arxiv.org/abs/2508.16878 https://arxiv.org/pdf/2508.16878…

Polynomial Property Testing
Property testers are fast, randomized "election polling"-type algorithms that determine if an input (e.g., graph or hypergraph) has a certain property or is $\varepsilon$-far from the property. In the dense graph model of property testing, it is known that many properties can be tested with query complexity that depends only on the error parameter $\varepsilon$ (and not on the size of the input), but the current bounds on the query complexity grow extremely quickly as a function of $1/\varepsil…

The symmetric strong circuit elimination property
Christine Cho, James Oxley, Suijie Wang
https://arxiv.org/abs/2508.00132 https://arxiv.org/pdf/2508.00132…

The symmetric strong circuit elimination property
If $C_1$ and $C_2$ are circuits in a matroid $M$ with $e_1$ in $C_1-C_2$ and $e$ in $C_1\cap C_2$, then $M$ has a circuit $C_3$ such that $e\in C_3\subseteq (C_1\cup C_2)-e$. This strong circuit elimination axiom is inherently asymmetric. A matroid $M$ has the symmetric strong circuit elimination property (SSCE) if, when the above conditions hold and $e_2\in C_2-C_1$, there is a circuit $C_3'$ with $\{e_1,e_2\}\subseteq C_3'\subseteq (C_1\cup C_2)-e$. We prove that a connected matroid has this …

Local spectral theory for subordinated operators: the Ces\`aro operator and beyond
Eva A. Gallardo-Guti\'errez, F. Javier Gonz\'alez-Do\~na
https://arxiv.org/abs/2508.04376

Local spectral theory for subordinated operators: the Cesàro operator and beyond
We study local spectral properties for subordinated operators arising from $C_0$-semi\-groups. Specifically, if $\mathcal{T}=(T_t)_{t\geq 0}$ is a $C_0$-semigroup acting boundedly on a complex Banach space and $$\mathcal{H}_ν= \int_{0}^{\infty} T_t\; dν(t)$$ is the subordinated operator associated to $\mathcal{T}$, where $ν$ is a sufficiently regular complex Borel measure supported on $[0,\infty)$, it is shown that $\mathcal{H}_ν$ does not enjoy the \textit{Single Valued Extension Property}…

Intellectual Property Rights and Entrepreneurship in the NFT Ecosystem: Legal Frameworks, Business Models, and Innovation Opportunities
Pranav Darshan, Rohan J S, Raghuveer Rajesh, Ruchitha M, Sanika Kamath, Manas M N
https://arxiv.org/abs/2507.00172

Intellectual Property Rights and Entrepreneurship in the NFT Ecosystem: Legal Frameworks, Business Models, and Innovation Opportunities
Non Fungible Tokens have changed digital ownership and how creators earn money. Between 2021 and 2024, the market value exceeded 40 billion. However, the fast growth of the NFT ecosystem has revealed serious issues in managing intellectual property rights. There is a lot of confusion about the difference between owning an NFT and owning the copyright for the underlying content. This research looks at the gap between traditional copyright laws and blockchain-based transactions. We use a mixed me…

Tailored Thermal and Mechanical Performance of Biodegradable PLA-P(VDF-TrFE) Polymer Blends
G Suresh, B. Satyanarayana, C. Thirmal, Kaushal Jagarlamudi, T Komala, Jimlee Patowary, Ashutosh Kumar
https://arxiv.org/abs/2508.04662

Tailored Thermal and Mechanical Performance of Biodegradable PLA-P(VDF-TrFE) Polymer Blends
The development of polymer blends has emerged as a strategic approach for designing multifunctional materials with enhanced tailored characteristics. Current work investigates and reports for the first time, the structure-property relationships in free-standing blend films of poly(vinylidene fluoride-trifluoroethylene) (P(VDF-TrFE)) and polylactic acid (PLA), prepared to evaluate their suitability for functional applications. For this investigation, films of approximately 40 $μ$m thick were fa…

More than 80 years after it was looted by the Nazis from a Jewish art dealer in Amsterdam,
a portrait by an Italian master has been spotted on the website of an estate agent advertising a house for sale in Argentina.
A photo shows the painting,
Portrait of a Lady (Contessa Colleoni)
by the late-baroque portraitist Giuseppe Ghislandi,
also known as Fra’ Galgario,
hanging above a sofa in the living room of the property,
in a seaside town near Buenos Air…

Efficient estimation of jump parameters for stochastic differential equations driven by L{\'e}vy processes
Elise Bayraktar (LAMA), Emmanuelle Cl\'ement (LAMA)
https://arxiv.org/abs/2509.04920

Efficient estimation of jump parameters for stochastic differential equations driven by L{é}vy processes
In a high-frequency context, we investigate the efficient estimation of scaling and jump activity parameters for a stochastic differential equation driven by a L{é}vy process with both diffusion component and pure-jump component. We first study efficiency for the prototype L{é}vy process. With an in-depth analysis of the behavior of the density of the process in small time, we prove that the LAN Property holds for the joint estimation of the diffusion, scaling and jump activity parameters. We…

The dyonic Kerr-Schild ansatz
Eloy Ay\'on-Beato, Daniel Flores-Alfonso, Mokhtar Hassaine, Daniel F. Higuita-Borja
https://arxiv.org/abs/2508.02986 https://

The dyonic Kerr-Schild ansatz
We develop a geometric extension of the Kerr-Schild ansatz that incorporates both electric and magnetic sectors of the Maxwell field in a unified framework, without resorting to duality rotations. We start observing that the known purely electric solution satisfies Maxwell's equations due to a closedness condition obeyed by the Kerr-Schild null congruence. From the associated local exactness property, we construct a new one-form naturally linked to the congruence as a sort of Poincaré dualizat…

All large primes have Property D
Schlage-Puchta, Jan-Christoph
https://arxiv.org/abs/2509.02436 https://arxiv.org/pdf/2509.02436

All large primes have Property D
Let $p$ be a prime number, $a_1, a_2, \ldots a_{4p-4}$ a sequence of elements in $(\mathbb{Z}/p\\mathbb{Z})^2$, which does not contain a subsequence of length $p$ which adds up to 0. We show that if $p$ is sufficiently large, then the sequence contains exactly four different elements.

Finite groups in which every proper characteristic subgroup is cyclic
Marco Damele, Fabio Mastrogiacomo
https://arxiv.org/abs/2508.03648 https://arxiv.org/…

Finite groups in which every proper characteristic subgroup is cyclic
Let $G$ be a finite non-cyclic, non-characteristically simple group with the property that all proper characteristic subgroups of $G$ are cyclic. We call such a group $\mathrm{CCS}$ group, short for \emph{Characteristic Cyclic}. In this paper, we provide a complete classification of these groups. As an application of our main result, we also make some progress toward the classification of minimal non-cyclic skew braces.

Personal Finance With Ravi Sharma | Australian Finance & Property Podcast
Great Australian Pods Podcast Directory: https://www.greataustralianpods.com/personal-finance-with-ravi-sharma-australian-finance-property-podcast/

On low-dimensional approximation of function spaces of interior regularity
S. Aziz, M. Bauer, M. Bebendorf, T. Rau
https://arxiv.org/abs/2507.02655 https:/…

On low-dimensional approximation of function spaces of interior regularity
Many elliptic boundary value problems exhibit an interior regularity property, which can be exploited to construct local approximation spaces that converge exponentially within function spaces satisfying this property. These spaces can be used to define local ansatz spaces within the framework of generalised finite element methods, leading to a better relation between dimensionality and convergence order. In this paper, we present a new technique for the construction of such spaces for Lipschit…

Measuring unitary invariants with the quantum switch
Pedro C. Azado, Rafael Wagner, Rui S. Barbosa, Ernesto F. Galv\~ao
https://arxiv.org/abs/2508.02345 https://

Measuring unitary invariants with the quantum switch
Bargmann invariants, multivariate traces of states, completely characterize any unitary-invariant property of a set of states. Unitary invariants enable the description of quantum resources such as basis-independent coherence and imaginarity, nonstabilizerness, and contextuality. We show that the quantum switch, a higher-order process featuring indefinite causal order, can be used to measure Bargmann invariants of arbitrary order. We also show how simple Hadamard test circuits can deterministic…

The Architecture of Trust: A Framework for AI-Augmented Real Estate Valuation in the Era of Structured Data
Petteri Teikari, Mike Jarrell, Maryam Azh, Harri Pesola
https://arxiv.org/abs/2508.02765

The Architecture of Trust: A Framework for AI-Augmented Real Estate Valuation in the Era of Structured Data
The Uniform Appraisal Dataset (UAD) 3.6's mandatory 2026 implementation transforms residential property valuation from narrative reporting to structured, machine-readable formats. This paper provides the first comprehensive analysis of this regulatory shift alongside concurrent AI advances in computer vision, natural language processing, and autonomous systems. We develop a three-layer framework for AI-augmented valuation addressing technical implementation and institutional trust requirements.…

Replaced article(s) found for math.GR. https://arxiv.org/list/math.GR/new
[1/1]:
- Liouville property for groups and conformal dimension
Nicol\'as Matte Bon, Volodymyr Nekrashevych, Tianyi Zheng

An invitation to cortex algebras and spectral permanence property
Przemys{\l}aw Ohrysko
https://arxiv.org/abs/2509.01709 https://arxiv.org/pdf/2509.01709…

An invitation to cortex algebras and spectral permanence property
We initiate the study of cortex algebras (commutative Banach algebras with extendable multiplicative-linear functionals) and the spectral permanence property. In addition, we analyze some particular examples in this context and present open problems.

Some Maker-Breaker games on hypergraphs
Patrick Bennett, Alan Frieze, Wesley Pegden
https://arxiv.org/abs/2509.02788 https://arxiv.org/pdf/2509.02788

Some Maker-Breaker games on hypergraphs
We consider some biased Maker-Breaker games. Starting with the complete $k$-uniform hypergraph on $n$ vertices, at each turn Maker claims one edge, and then Breaker claims $b$ edges. Maker's goal is to obtain a set of edges having some increasing property. We consider the case where Maker's desired property is minimum degree $m$, or having a full-rank incidence matrix, or having a Berge Hamilton cycle or having a perfect matching or a Hamilton $\ell$-cycle.

Seven people are missing
after multiple explosions
at a warehouse in Northern California that sent bright fireworks across the area
and ignited a brush fire.
The location is owned by an active pyrotechnics license holder, according to the California Department of Forestry and Fire Protection.
Emergency crews were searching the property for the missing individuals Wednesday,
and investigators were also surveying the area with drones.
Authorities ha…

The Neighbour Sum Problem on Trees
Sayan Dutta, Sohom Gupta
https://arxiv.org/abs/2506.23965 https://arxiv.org/pdf/2506.23965

The Neighbour Sum Problem on Trees
A graph $\mathcal G = (\mathcal V, \mathcal E)$ is said to satisfy the Neighbour Sum Property if there exists some $f:\mathcal V\to\mathbb R$ such that $f\not\equiv 0$ and it maps every vertex to the sum of the values taken by its neighbours. In this article, we provide an algorithm to check whether a given finite tree satisfies the neighbour sum property. We also find a large class of trees on $n$ vertices that satisfy the property.

Matroids, intersecting bases, and Borsuk property
Gyivan L\'opez-Campos, Fr\'ed\'eric Meunier, Jorge L. Ram\'irez Alfons\'in
https://arxiv.org/abs/2506.17082

Matroids, intersecting bases, and Borsuk property
A subset $S$ of $\mathbb R^d$ has the Borsuk property if it can be decomposed into at most $d+1$ parts of diameter smaller than $S$. This is an important geometric property, inspired by a conjecture of Borsuk from the 1930s, which has attracted considerable attention over the years. In this paper, we define and investigate the Borsuk property for matroids, providing a purely combinatorial approach to the Borsuk property for matroid polytopes, a well-studied family of $(0,1)$-polytopes associate…