Tootfinder

How Trees on Atoms of Subset Algebras Define Minimal Forests and Their Growth
Vasily Buslov
https://arxiv.org/abs/2506.17921 https://…

How Trees on Atoms of Subset Algebras Define Minimal Forests and Their Growth
A complete description is given of how minimal trees on atoms of the algebra of subsets $\mathfrak{A}_k$ generated by minimal spanning $k$-component forests of a weighted digraph $V$ determine the form of these forests and how forests grow with increasing number of arcs (that is with a decrease in the number of trees). Precise bounds are established on what can be extracted about the tree structure of the original graph if the minimal trees on the atoms of a single algebra $\mathfrak{A}_k$ are …

Minimal Velocity
- my first ode to minimalism in music -
#NowPlaying
https://muz4now.com/2023/minimal-velocity-nowplaying/

Minimal Velocity #NowPlaying
Stan Stewart - @muz4now

Minimal surface doublings and electrostatics for Schr\"odinger operators
Adrian Chun-Pong Chu, Daniel Stern
https://arxiv.org/abs/2509.18630 https://a…

Minimal surface doublings and electrostatics for Schrödinger operators
Twenty years ago, N. Kapouleas introduced a singular perturbation construction known as "doubling", which produces sequences of high-genus minimal surfaces converging to a given minimal surface with multiplicity two. Doubling constructions have since been implemented successfully in several settings, with deep work of Kapouleas-McGrath reducing their existence theory to the problem of finding suitable families of ansatz data on the initial minimal surface. In this paper, we introduce a variat…

US plans to play minimal role in security guarantees for Ukraine, Politico reports: https://benborges.xyz/2025/08/21/us-plans-to-play-minimal.html

Entanglement dynamics in minimal Kitaev chains
Vimalesh Kumar Vimal, Jorge Cayao
https://arxiv.org/abs/2507.17586 https://arxiv.org/pdf/2507.17586

Entanglement dynamics in minimal Kitaev chains
Minimal Kitaev chains host Majorana quasiparticles, which, although not topologically protected, exhibit spatial nonlocality and hence expected to be useful for quantum information tasks. In this work, we consider two- and three-site Kitaev chains and investigate the dynamics of bipartite and multipartite entanglement by means of concurrence and geometric measure of entanglement. In two-site Kitaev chains, we find that maximally entangled states can robustly emerge, with their stability and per…

Minimal volume entropy of mapping tori over 3-manifolds
Giuseppe Bargagnati, Alberto Casali, Francesco Milizia, Marco Moraschini
https://arxiv.org/abs/2509.17851 https://…

Minimal volume entropy of mapping tori over 3-manifolds
We prove that the minimal volume entropy of mapping tori over oriented closed smooth $3$-manifolds vanishes. Our approach uses a variation of the amenable category and a suitable version of the minimal volume entropy of a homology class introduced by Babenko and Sabourau.

On the base size and minimal degree of transitive groups
Lorenzo Guerra, Attila Mar\'oti, Fabio Mastrogiacomo, Pablo Spiga
https://arxiv.org/abs/2506.17668

On the base size and minimal degree of transitive groups
Let $G$ be a permutation group, and denote with $μ(G)$ and $b(G)$ its minimal degree and base size respectively. We show that for every $\varepsilon>0$, there exists a transitive permutation group $G$ of degree $n$ with \[ μ(G)b(G) \geq n^{2-\varepsilon}. \] We also identify some classes of transitive and intransitive groups whose base size and minimal degree have a smaller upper bound, shared with primitive groups.

Revisiting the Electroweak Supersymmetry from the Generalized Minimal Supergravity
Imtiaz Khan, Ali Muhammad, Tianjun Li, Shabbar Raza
https://arxiv.org/abs/2506.18442

Revisiting the Electroweak Supersymmetry from the Generalized Minimal Supergravity
We explore the Electroweak Supersymmetry (EWSUSY) scenario within the Minimal Supersymmetric Standard Model (MSSM) under the Generalized Minimal Supergravity (GmSUGRA) framework, given that the anomalous magnetic moment of the muon may now be consistent with the Standard Model (SM) prediction, we consider both signs of the Higgsino mass parameter, $μ< 0$ and $μ> 0$. A comprehensive scan of the parameter space is performed, subject to the experimental constraints from the LHC SUSY searches, Pl…

Distilling On-device Language Models for Robot Planning with Minimal Human Intervention
Zachary Ravichandran, Ignacio Hounie, Fernando Cladera, Alejandro Ribeiro, George J. Pappas, Vijay Kumar
https://arxiv.org/abs/2506.17486

Distilling On-device Language Models for Robot Planning with Minimal Human Intervention
Large language models (LLMs) provide robots with powerful contextual reasoning abilities and a natural human interface. Yet, current LLM-enabled robots typically depend on cloud-hosted models, limiting their usability in environments with unreliable communication infrastructure, such as outdoor or industrial settings. We present PRISM, a framework for distilling small language model (SLM)-enabled robot planners that run on-device with minimal human supervision. Starting from an existing LLM-ena…

Neural Network Dual Norms for Minimal Residual Finite Element Methods
Hamd Alsobhi, Emin Benny-Chacko, Ignacio Brevis, Kristoffer G. van der Zee
https://arxiv.org/abs/2509.16961

Neural Network Dual Norms for Minimal Residual Finite Element Methods
Minimal-residual methods for PDEs with a residual in a dual space are non-trivial to guarantee stability. We present a minimal-residual finite element method in which the solution space is a standard finite element space, but neural networks are used as test functions for the evaluation of residual dual norms. The use of a neural network improves the approximation of the residual representer, and thereby improves the stability of the method. Our hybrid approach is implemented through a deep res…

Low-degree minimal generating sets of polynomial ideals
Andrei Mandelshtam
https://arxiv.org/abs/2509.16523 https://arxiv.org/pdf/2509.16523

Low-degree minimal generating sets of polynomial ideals
We obtain tight bounds for the minimal number of generators of an ideal with bounded-degree generators in a polynomial ring $K[X_1,\dots,X_n],$ as well as a sharp quantification of the maximum possible size of a minimal generating set of bounded degree. Our bounds are sharp for all fields of size greater than the degree. Moreover, we provide explicit constructions reaching the tightness constraints for all fields of characteristic 0, and for all sufficiently large fields in the one- and two-var…

Knotting Minimal Sets
Alex Clark, John Hunton
https://arxiv.org/abs/2509.17133 https://arxiv.org/pdf/2509.17133

Knotting Minimal Sets
We consider the ways minimal sets of flows in $S^3$ may be embedded. We prove that given any $C^2$ flow on $S^3$ with positive entropy, there is an uncountable collection of topologically distinct minimal sets $\mathcal{M}$ such that for each $M\in \mathcal{M}$ there are infinitely many embedded copies of $M$ in the flow, each copy with a distinct knot type, thus extending work of Franks and Williams for periodic orbits.

Integral cubic form of 5D minimal supergravities and non-perturbative anomalies in 6D (1,0) theories
Peng Cheng, Michael N. Milam, Ruben Minasian
https://arxiv.org/abs/2509.18042

Integral cubic form of 5D minimal supergravities and non-perturbative anomalies in 6D (1,0) theories
A five-dimensional minimal supergravity theory coupled to vector and hypermultiplets is specified by a set of trilinear couplings, given by an intersection form $C_{IJK}$, and gravitational couplings specified by an integer-valued vector $a_I$ and is consistent when these data define an integral cubic form. For every Calabi-Yau threefold reduction of M-theory, this condition is satisfied automatically. Via suitable redefinitions of the basis of 5D vectors, this is also shown to be the case for …

Stratified Hyperbolicity of the moduli stack of stable minimal models, I
Junchao Shentu
https://arxiv.org/abs/2506.17537 https://arxi…

Stratified Hyperbolicity of the moduli stack of stable minimal models, I
In this paper, we introduce a birationally admissible stratification on the Deligne-Mumford stack of stable minimal models (e.g., the KSBA moduli stack), such that the universal family over each stratum admits a simple normal crossing log birational model. We further demonstrate that each stratum is hyperbolic in the sense that every schematic generically finite covering of any closed substack is of logarithmic general type. This provides a partial answer to C.Birkar's question regarding the gl…

$C_{pq}$-Injective Diagrams and a Combination Theorem for Minimal Models
Soumyadip Thandar
https://arxiv.org/abs/2506.17998 https://a…

$C_{pq}$-Injective Diagrams and a Combination Theorem for Minimal Models
We study diagrams of commutative differential graded algebras (DGAs) over the orbit category $\sO_G$ in the context of equivariant rational homotopy theory. For $G = C_{pq}$ with $p, q$ distinct primes, we give necessary conditions for injectivity. We prove a combination-type result: the equivariant wedge of injective diagrams over $\mathcal{O}_{C_p}$ and $\mathcal{O}_{C_q}$ with retract structure maps yields an injective diagram over $\mathcal{O}_{C_{pq}}$ with a level-wise minimal model. As a…

Minimal Neuron Circuits: Bursters
Amr Nabil, T. Nandha Kumar, Haider Abbas F. Almurib
https://arxiv.org/abs/2509.17731 https://arxiv.org/pdf/2509.17731

Minimal Neuron Circuits: Bursters
This work introduces a novel methodology for designing biologically plausible bursting neuron circuits using a minimal number of components. We hypothesize that to design circuits capable of bursting, the neuron circuit design must mimic a neuron model that inherently exhibits bursting dynamics. Consequently, classical models such as the Hodgkin-Huxley, $I_{Na,p}+I_{K}$, and FitzHugh-Nagumo models are not suitable choices. Instead, we propose a methodology for designing neuron circuits that emu…

On the minimal integral energy of majorants of the Wiener process
Sergey Nikitin
https://arxiv.org/abs/2507.17468 https://arxiv.org/pdf/2507.17468

On the minimal integral energy of majorants of the Wiener process
We consider the asymptotic behavior (over long time intervals) of the minimal integral energy \[ |h|_T^ψ= \int_0^T ψ(h^\prime(t)) \, \mathrm{d}t \] of majorants of the Wiener process $ W(\cdot) $ satisfying the constraints $ h(0) = r $, $ h(t) \geq W(t) $ for $ 0 \leq t \leq T $. The results significantly generalize previous asymptotic estimates obtained for the case of kinetic energy $ ψ(u) = u^2 $, revealing that this case, where the minimal energy grows logarithmically, is a cri…

Fourier Transform and the minimal representation of $E_7$
Wee Teck Gan, Nadya Gurevich
https://arxiv.org/abs/2507.16968 https://arxiv.org/pdf/2507.16968

Fourier Transform and the minimal representation of $E_7$
We consider the minimal representation of the adjoint split group $E_7$ over a p-adic field. The representation has a model in a space of functions on a 17 dimensional cone $Ω$, and elements of the unique parabolic subgroup Q with abelian radical act by simple geometric formulas. We write a formula for the action of an involutive element $s$, conjugating $Q$ to the opposite parabolic $\bar Q$. The resulting integral operator, called a Fourier transform on $Ω$, is related to generalized Fourie…

Minimal Banach-Tarski Decompositions
Cesare Straffelini, Kilian Zambanini
https://arxiv.org/abs/2507.17517 https://arxiv.org/pdf/2507.17517

Minimal Banach-Tarski Decompositions
We investigate the problem of finding the minimum number of pieces necessary for dividing a three-dimensional sphere or a ball and reassembling it to form $n$ congruent copies of the original object, generalising a known result by Raphael Robinson.

Recovering unbiased CMB polarization maps using modern ground-based experiments with minimal assumptions about atmospheric emission
Simon Biquard, Josquin Errard, Radek Stompor
https://arxiv.org/abs/2509.16302

Recovering unbiased CMB polarization maps using modern ground-based experiments with minimal assumptions about atmospheric emission
We present a study of unbiased reconstruction of cosmic microwave background (CMB) polarization maps from data collected by modern ground-based observatories. Atmospheric emission is a major source of correlated noise in such experiments, complicating the recovery of faint cosmological signals. We consider estimators that require minimal assumptions about unpolarized atmospheric emission properties, instead exploiting hardware solutions commonly implemented in modern instruments, such as pairs …

Asymptotics for moments of the minimal partition excludant in congruence classes
Shane Chern, Ernest X. W. Xia
https://arxiv.org/abs/2507.14431 https://

Asymptotics for moments of the minimal partition excludant in congruence classes
The minimal excludant statistic, which denotes the smallest positive integer that is not a part of an integer partition, has received great interest in recent years. In this paper, we move on to the smallest positive integer whose frequency is less than a given number. We establish an asymptotic formula for the moments of such generalized minimal excludants that fall in a specific congruence class. In particular, our estimation reveals that the moments associated with a fixed modulus are asympt…

Uniqueness of Maximal Inscribed Parabolas and Minimal Circumscribing Horocycles
Martin Lukarevski, Hans-Peter Schr\"ocker
https://arxiv.org/abs/2509.17415 https://

Uniqueness of Maximal Inscribed Parabolas and Minimal Circumscribing Horocycles
We prove existence of three unique ``exparabolas'' to a triangle. Each of these parabolas is internally tangent to one edge and the two other sides. Among all like parabolas, it is characterized by having maximal parameter. We use this result to prove a more general uniqueness statement on maximal parabolas into a convex point set. In similar spirit, we demonstrate uniqueness of minimal enclosing horocycles in hyperbolic geometry, provided the enclosed set is sufficiently small.

“Many State Offices are concerned that Starlink proposals may be the lowest bid and alternative proposals may not be within the 15% window for consideration. What this analysis presents is that across many geographic areas Starlink may not be a qualified bidder as it may be unable to attain the required 100/20 Mbps service level (and, in deploying Starlink services, may actually degrade pre-existing users’ services to the point that they no longer receive minimal broadband speeds).”
#Enshitification #StarLink
https://communitynetworks.org/content/new-research-starlink-unlikely-meet-bead-speed-needs-scale

A minimal model with stochastically broken reciprocity
Z. C. Tu
https://arxiv.org/abs/2507.14862 https://arxiv.org/pdf/2507.14862

A minimal model with stochastically broken reciprocity
We introduce a minimal model consisting of a two-body system with stochastically broken reciprocity (i.e., random violation of Newton's third law) and then investigate its statistical behaviors, including correlation functions, time evolution of probability distribution functions, energy gain, and entropy production. The effective temperature of this two-body system immersed in a thermal bath is derived. Furthermore, we heuristically present an extremely minimal model where the relative motion …

Well, what I say is: fuck him. He'll get exactly what he deserves.
https://mstdn.social/@noelreports/114897591870255470

NOELREPORTS 🇪🇺 🇺🇦 (@noelreports@mstdn.social)
Attached: 1 image FAFO. Derek Huffman, an American who moved his family to Russia to escape what he called "woke" America, has been sent to the front in Ukraine. Initially promised a non-combat role, he received minimal training in Russian and is now in active duty. His wife says, “He’s been thrown to the wolves.”

Minimal horizontal triods: Analysis and computation
Robert N\"urnberg, Paola Pozzi
https://arxiv.org/abs/2507.15740 https://arxi…

Minimal horizontal triods: Analysis and computation
In this article we investigate the question of finding a network configuration of minimal length connecting three given points in the Heisenberg group. After proving existence of (possibly degenerate) minimal horizontal triods, we investigate their characterization. We then formulate a horizontal curve shortening flow that deforms any given suitable initial triod into a critical point for the length functional. Numerical experiments based on a stable fully discrete finite element scheme provide…

Rational Motions of Minimal Quaternionic Degree with Prescribed Line Trajectories
Z\"ulal Derin Yaqub, Hans-Peter Schr\"ocker
https://arxiv.org/abs/2506.18029

Rational Motions of Minimal Quaternionic Degree with Prescribed Line Trajectories
In this paper, we study how to find rational motions that move a line along a given rational ruled surface. Our goal is to find motions with the lowest possible degree using dual quaternions. While similar problems for point trajectories are well known, the case of line trajectories is more complicated and has not been studied. We explain when such motions exist and how to compute them. Our method gives explicit formulas for constructing these motions and shows that, in many cases, the solution…

from my link log —
Modern minimal perfect hashing: a survey.
https://arxiv.org/abs/2506.06536
saved 2025-06-11 https://dotat.at/:…

Modern Minimal Perfect Hashing: A Survey
Given a set $S$ of $n$ keys, a perfect hash function for $S$ maps the keys in $S$ to the first $m \geq n$ integers without collisions. It may return an arbitrary result for any key not in $S$ and is called minimal if $m = n$. The most important parameters are its space consumption, construction time, and query time. Years of research now enable modern perfect hash functions to be extremely fast to query, very space-efficient, and scale to billions of keys. Different approaches give different tr…

Planning with Minimal Disruption
Alberto Pozanco, Marianela Morales, Daniel Borrajo, Manuela Veloso
https://arxiv.org/abs/2508.15358 https://arxiv.org/pdf/…

Planning with Minimal Disruption
In many planning applications, we might be interested in finding plans that minimally modify the initial state to achieve the goals. We refer to this concept as plan disruption. In this paper, we formally introduce it, and define various planning-based compilations that aim to jointly optimize both the sum of action costs and plan disruption. Experimental results in different benchmarks show that the reformulated task can be effectively solved in practice to generate plans that balance both obj…

Minimal Dark Matter in the sky: updated Indirect Detection probes
Mohammad Aghaie, Alessandro Dondarini, Giulio Marino, Paolo Panci
https://arxiv.org/abs/2507.17607

Minimal Dark Matter in the sky: updated Indirect Detection probes
Minimal Dark Matter is among the simplest and most predictive Dark Matter frameworks, with the Majorana SU(2) 5-plet as its smallest accidentally stable real representation. We present a comprehensive reassessment of its indirect-detection signals. The $γ$-ray flux from both Sommerfeld-enhanced annihilations and bound-state formation is calculated, incorporating next-to-leading-order corrections and next-to-leading-log resummation of the relevant electroweak effects. In the Milky Way halo, bou…

Layer-wise Minimal Pair Probing Reveals Contextual Grammatical-Conceptual Hierarchy in Speech Representations
Linyang He, Qiaolin Wang, Xilin Jiang, Nima Mesgarani
https://arxiv.org/abs/2509.15655

Layer-wise Minimal Pair Probing Reveals Contextual Grammatical-Conceptual Hierarchy in Speech Representations
Transformer-based speech language models (SLMs) have significantly improved neural speech recognition and understanding. While existing research has examined how well SLMs encode shallow acoustic and phonetic features, the extent to which SLMs encode nuanced syntactic and conceptual features remains unclear. By drawing parallels with linguistic competence assessments for large language models, this study is the first to systematically evaluate the presence of contextual syntactic and semantic f…

Ricci curvature and minimal hypersurfaces with large Betti numbers
Davi Maximo, Philipp Reiser, Daniele Semola
https://arxiv.org/abs/2507.17305 https://arx…

Ricci curvature and minimal hypersurfaces with large Betti numbers
In any dimension $n+1\ge 4$ we construct a sequence of closed $(n+1)$-dimensional Riemannian manifolds with positive Ricci curvature admitting embedded two-sided minimal hypersurfaces such that the following hold: (i) any such hypersurface has Morse index one; (ii) the first Betti numbers of the hypsersurfaces are not uniformly bounded along the sequence.

England’s commercial datacentres are using far less water than many assume, according to a new report published by industry group techUK in collaboration with the Environment Agency.
https://www.computing.co.uk/news/2025/england-s-da…

England’s datacentres use minimal water in cooling operations, techUK
England’s commercial datacentres are using far less water than many assume, according to a new report published by industry group techUK in collaboration with the ...

Hornet Node and the Hornet DSL: A Minimal, Executable Specification for Bitcoin Consensus
Toby Sharp
https://arxiv.org/abs/2509.15754 https://arxiv.org/pdf…

Hornet Node and the Hornet DSL: A Minimal, Executable Specification for Bitcoin Consensus
Bitcoin's consensus rules are encoded in the implementation of its reference client: "The code is the spec." Yet this code is unsuitable for formal verification due to side effects, mutable state, concurrency, and legacy design. A standalone formal specification would enable verification both across versions of the reference client and against new client implementations, strengthening decentralization by reducing the risk of consensus-splitting bugs. Yet such a specification has long been consi…

SiLQ: Simple Large Language Model Quantization-Aware Training
Steven K. Esser, Jeffrey L. McKinstry, Deepika Bablani, Rathinakumar Appuswamy, Dharmendra S. Modha
https://arxiv.org/abs/2507.16933

SiLQ: Simple Large Language Model Quantization-Aware Training
Large language models can be quantized to reduce inference time latency, model size, and energy consumption, thereby delivering a better user experience at lower cost. A challenge exists to deliver quantized models with minimal loss of accuracy in reasonable time, and in particular to do so without requiring mechanisms incompatible with specialized inference accelerators. Here, we demonstrate a simple, end-to-end quantization-aware training approach that, with an increase in total model trainin…

An Efficient Algorithm for Generating Minimal Unique-Cause MC/DC Test cases for Singular Boolean Expressions
Robin Lee, Youngho Nam
https://arxiv.org/abs/2507.14687

An Efficient Algorithm for Generating Minimal Unique-Cause MC/DC Test cases for Singular Boolean Expressions
Modified Condition/Decision Coverage (MC/DC) is a mandatory structural coverage criterion for ensuring the reliability and safety of critical systems. While its strictest form, Unique-Cause MC/DC, offers the highest assurance, research on its efficient test generation has been lacking. This gap is particularly significant, as an analysis of large-scale avionics systems shows that 99.7% of all conditional decisions are, in fact, Singular Boolean Expressions (SBEs) the ideal structure for applyin…

Google releases a study saying a median Gemini text prompt uses 0.26mm of water and makes ~0.03g CO2; critics call it misleading for omitting indirect water use (Justine Calma/The Verge)
https://www.theverge.com/report/763080/google-ai-gemini-water-energy…

Google says a typical AI text prompt only uses 5 drops of water — experts say that’s misleading
Google estimates that a Gemini text prompt uses a minimal amount of water and energy, but experts say the study paints an incomplete picture of AI’s environmental toll.

G\"odel Mirror: A Formal System For Contradiction-Driven Recursion
Jhet Chan
https://arxiv.org/abs/2509.16239 https://arxiv.org/pdf/2509.16239

Gödel Mirror: A Formal System For Contradiction-Driven Recursion
We introduce the Gödel Mirror, a formal system defined in Lean 4 that treats contradiction as a control signal for recursive structural evolution. Inspired by Gödelian self-reference, our system's operational semantics encode symbolic paradoxes as deterministic transitions. Unlike systems designed to guarantee normalization, the Gödel Mirror is a minimal and verifiable architecture that leverages a controlled, non-terminating loop as a productive feature. Our Lean 4 mechanization proves …

Time-optimal Asynchronous Minimal Vertex Covering by Myopic Robots
Saswata Jana, Subhajit Pramanick, Adri Bhattacharya, Partha Sarathi Mandal
https://arxiv.org/abs/2508.14247 ht…

Time-optimal Asynchronous Minimal Vertex Covering by Myopic Robots
In a connected graph with an autonomous robot swarm with limited visibility, it is natural to ask whether the robots can be deployed to certain vertices satisfying a given property using only local knowledge. This paper affirmatively answers the question with a set of \emph{myopic} (finite visibility range) luminous robots with the aim of \emph{filling a minimal vertex cover} (MVC) of a given graph $G = (V, E)$. The graph has special vertices, called \emph{doors}, through which robots enter seq…

Urban Diaspora 🌐
城市放逐 🌐
📷 Nikon FE
🎞️Ilford FP4 Plus, expired 1994
buy me ☕️ ?/请我喝杯☕️？
#filmphotography

One key point of democracy (and the minimal requirement) is that there is an official and working way to get rid of the running government (and representatives i.e. parliament).
This includes a free press, i.e. access to information and different (critical) views on politicians.
#pol

Obstruction theory for $A$-infinity bimodules
Gustavo Jasso, Fernando Muro
https://arxiv.org/abs/2507.17568 https://arxiv.org/pdf/2507.17568

Obstruction theory for $A$-infinity bimodules
We develop an obstruction theory for the extension of truncated minimal $A$-infinity bimodule structures over truncated minimal $A$-infinity algebras. Obstructions live in far-away pages of a (truncated) fringed spectral sequence of Bousfield--Kan type. The second page of this spectral sequence is mostly given by a new cohomology theory associated to a pair consisting of a graded algebra and a graded bimodule over it. This new cohomology theory fits in a long exact sequence involving the Hochsc…

Jump Complexity of Deterministic Finite Automata with Translucent Letters
Szil\'ard Zsolt Fazekas, Victor Mitrana, Andrei P\u{a}un, Mihaela P\u{a}un
https://arxiv.org/abs/2506.18393

Jump Complexity of Deterministic Finite Automata with Translucent Letters
We investigate a dynamical complexity measure defined for finite automata with translucent letters (FAwtl). Roughly, this measure counts the minimal number of necessary jumps for such an automaton in order to accept an input. The model considered here is the deterministic finite automaton with translucent letters (DFAwtl). Unlike in the case of the nondeterministic variant, the function describing the jump complexity of any DFAwtl is either bounded by a constant or it is linear. We give a polyn…

On the volume of K-semistable Fano manifolds
Chi Li, Minghao Miao
https://arxiv.org/abs/2506.17420 https://arxiv.org/pdf/2506.17420…

On the volume of K-semistable Fano manifolds
We prove that the volume of an $n$-dimensional K-semistable Fano manifold that is not $\mathbb{P}^n$ is at most $2n^n$. Moreover, the equality holds only if $X\cong \mathbb{P}^1\times \mathbb{P}^{n-1}$ or $X$ is a smooth quadric hypersurface $Q\subset \mathbb{P}^{n+1}$. Our proof is based on a new connection between K-semistability and minimal rational curves. More generally, we show that the volume of a K-semistable Fano manifold with a minimal rational curve of degree $d$ is bounded above by …

Quantum corrections to Dymnikova-Schwinger black holes in Einstein-Gauss-Bonnet gravity
A. Errehymy, Y. Khedif, M. Daoud, K. Myrzakulov, B. Turimov, T. Myrzakul
https://arxiv.org/abs/2509.17630

Quantum corrections to Dymnikova-Schwinger black holes in Einstein-Gauss-Bonnet gravity
This work investigates black holes within a modified framework of gravity that incorporates quantum-inspired corrections and a fundamental minimal length scale. By integrating Einstein-Gauss-Bonnet gravity with a specially tailored matter source that models quantum particle creation, we derive novel, non-singular black hole solutions. These black holes exhibit rich horizon structures and, notably, do not undergo complete evaporation -- instead, they stabilize into permanent remnants. In additio…

Efficient and Distortion-less Spectrum Multiplexer via Neural Network-based Filter Banks
Jiazhao Wang, Wenchao Jiang
https://arxiv.org/abs/2507.17106 https://

Efficient and Distortion-less Spectrum Multiplexer via Neural Network-based Filter Banks
Spectrum multiplexer enables simultaneous transmission of multiple narrow-band IoT signals through gateway devices, thereby enhancing overall spectrum utilization. We propose a novel solution based on filter banks that offer increased efficiency and minimal distortion compared with conventional methods. We follow a model-driven approach to integrate the neural networks into the filter bank design by interpreting the neural network models as filter banks. The proposed NN-based filter banks can l…

Ultra-high-energy neutrino detection with radio antennas in the ground-based observatory
Baobiao Yue, Karl-Heinz Kampert, Julian Rautenberg
https://arxiv.org/abs/2509.17575 http…

Ultra-high-energy neutrino detection with radio antennas in the ground-based observatory
Ultra-high-energy (UHE) neutrinos are unique cosmic messengers that can traverse cosmological distances unattenuated, offering direct insight into the most energetic processes in the universe. Radio detection promises significant advantages for detecting highly inclined air showers induced by UHE neutrinos, including a larger exposure range compared to particle detectors, which is due to minimal atmospheric attenuation of radio signals combined with good reconstruction precision. Furthermore, t…

Holographic dark energy models in $f(Q,T)$ gravity and cosmic constraint
Xuwei Zhang, Xiaofeng Yang, Yunliang Ren, Shuangnan Chen, Yangjun Shi, Cheng Cheng, Xiaolong He
https://arxiv.org/abs/2506.17933

Holographic dark energy models in $f(Q,T)$ gravity and cosmic constraint
In this work, we propose a new model that combines holographic dark energy with modified gravity $f(Q,T)$ to explore a possible explanation for the accelerated expansion of the universe. We incorporate the holographic principle into non-metric gravity with non-minimal matter coupling and introduce the Barrow holographic dark energy model to account for a tighter corrections, allowing for a more generalized discussion. Furthermore, we perform parameter estimation using the latest observational d…

Vertex-minimal hyperbolic origami 2-torus
Zhengyu Zou
https://arxiv.org/abs/2509.18668 https://arxiv.org/pdf/2509.18668

Vertex-minimal hyperbolic origami 2-torus
In this paper, we explore geometrizations of triangulated hyperbolic 2-tori $Σ_2$ in the hyperbolic 3-space $\mathbb{H}^3$. We show that for all $n \geq 10$, there exists a triangulation of $Σ_2$ with $n$ vertices and an embedding $S: Σ_2 \hookrightarrow \mathbb{H}^3$ that restricts to isometries on the triangles. We call these embeddings hyperbolic origami 2-tori. Since the lower bound $n \geq 10$ is combinatorially sharp, this paper settles the question of minimum number of vertices requir…

It Depends: Resolving Referential Ambiguity in Minimal Contexts with Commonsense Knowledge
Lukas Ellinger, Georg Groh
https://arxiv.org/abs/2509.16107 https://

It Depends: Resolving Referential Ambiguity in Minimal Contexts with Commonsense Knowledge
Ambiguous words or underspecified references require interlocutors to resolve them, often by relying on shared context and commonsense knowledge. Therefore, we systematically investigate whether Large Language Models (LLMs) can leverage commonsense to resolve referential ambiguity in multi-turn conversations and analyze their behavior when ambiguity persists. Further, we study how requests for simplified language affect this capacity. Using a novel multilingual evaluation dataset, we test DeepS…

😣 Effortful pastimes are perceived as more meaningful than those requiring minimal effort, study finds
https://medicalxpress.com/news/2025-08-effortful-pastimes-meaningful-requiring-minimal.html

Effortful pastimes are perceived as more meaningful than those requiring minimal effort, study finds
Past studies suggest that how people spend their time outside of work or academic endeavors can contribute to their overall well-being and life satisfaction. Yet how humans perceive different leisure activities that they engage in and the extent to which they feel that these activities contribute to their life's purpose has not yet been extensively investigated.

Berry Trashcan With Short Range Attraction:Exact $p_x i p_y$ Superconductivity in Rhombohedral Graphene
Ming-Rui Li, Yves H. Kwan, Hong Yao, B. Andrei Bernevig
https://arxiv.org/abs/2509.16312

Berry Trashcan With Short Range Attraction:Exact $p_x+i p_y$ Superconductivity in Rhombohedral Graphene
We show the presence of analytic $p_x + i p_y$ superconducting ground states in the Berry Trashcan -- a minimal model of rhombohedral graphene valid for $n \ge 4$ layers -- under short-range attractive interactions. We demonstrate that the model, whose dispersion consists of a flat bottom surrounded by steep walls of prohibitive kinetic energy, serves as a building block to understand superconductivity in the moiré-free limit. We find that the ground-state chirality has a ``ferromagnetic'' cou…

laplax -- Laplace Approximations with JAX
Tobias Weber, B\'alint Mucs\'anyi, Lenard Rommel, Thomas Christie, Lars Kas\"uschke, Marvin Pf\"ortner, Philipp Hennig
https://arxiv.org/abs/2507.17013

laplax -- Laplace Approximations with JAX
The Laplace approximation provides a scalable and efficient means of quantifying weight-space uncertainty in deep neural networks, enabling the application of Bayesian tools such as predictive uncertainty and model selection via Occam's razor. In this work, we introduce laplax, a new open-source Python package for performing Laplace approximations with jax. Designed with a modular and purely functional architecture and minimal external dependencies, laplax offers a flexible and researcher-frien…

Truth Without Comprehension: A BlueSky Agenda for Steering the Fourth Mathematical Crisis
Runlong Yu, Xiaowei Jia
https://arxiv.org/abs/2509.17290 https://…

Truth Without Comprehension: A BlueSky Agenda for Steering the Fourth Mathematical Crisis
Machine-generated proofs are poised to reach large-scale, human-unreadable artifacts. They foreshadow what we call the Fourth Mathematical Crisis. This crisis crystallizes around three fundamental tensions: trusting proofs that no human can inspect, understanding results that no one can fully read, and verifying systems that themselves resist verification. As a minimal yet principled response, we propose the Human Understandability (HU) meta-axiom, which requires that every proof admits at leas…

Magnetic-Field Tunable M\"{o}bius and Higher-Order Topological Insulators in Three-Dimensional Layered Octagonal Quasicrystals
Yuxiao Chen, Zhiming Xu, Citian Wang, Huaqing Huang
https://arxiv.org/abs/2507.17497

Magnetic-Field Tunable Möbius and Higher-Order Topological Insulators in Three-Dimensional Layered Octagonal Quasicrystals
We propose that three-dimensional layered octagonal quasicrystals can host magnetic-field-tunable Möbius insulators and various higher-order topological insulators (HOTIs), enabled by the interplay of quasicrystalline symmetry and magnetic order. By constructing a minimal model based on stacked Ammann-Beenker tilings with magnetic exchange coupling and octagonal warping, we demonstrate that an A-type antiferromagnetic (AFM) configuration yields a topological phase protected by an effective tim…

Kleine Frage an die #wikisource -Leute hier ( @… ?): Es kam neulich die Frage nach Minimal-*Editionen* auf, also nicht primär Quellentranskriptionen, sondern Editionen eigenen Rechts mit eigener Textgestaltung und Einteilung, mit Anmerkungen etc. Gibt es sowas auc…

"Nuclear waste could be a source of fuel in future reactors"
#NuclearPower #Energy
https://

Nuclear waste could be a source of fuel in future reactors
From electric cars to artificial intelligence (AI) data centers, the technologies people use every day require a growing need for electricity. In theory, nuclear fusion—a process that fuses atoms together, releasing heat to turn generators—could provide vast energy supplies with minimal emissions. But nuclear fusion is an expensive prospect because one of its main fuels is a rare version of hydrogen called tritium.

Probing the Ground State of the Antiferromagnetic Heisenberg Model on the Kagome Lattice using Geometrically Informed Variational Quantum Eigensolver
Abdellah Tounsi, Nacer Eddine Belaloui, Abdelmouheymen Rabah Khamadja, Takei Eddine Fadi Lalaoui, Mohamed Messaoud Louamri, David E. Bernal Neira, Mohamed Taha Rouabah
https://arxiv.org/abs/2…

Probing the Ground State of the Antiferromagnetic Heisenberg Model on the Kagome Lattice using Geometrically Informed Variational Quantum Eigensolver
This work investigates the nature of the ground state of the antiferromagnetic Heisenberg model on minimal kagome cells -- a triangle and a star -- using the variational quantum eigensolver (VQE) algorithm on real quantum hardware. We demonstrate that the ground state preparation is achievable using a shallow hardware-efficient quantum circuit with a naturally Euclidean parameter space. Our custom ansatz is capable of accurately recovering essential properties such as the spin correlation terms…

Quantifying the ROI of Cyber Threat Intelligence: A Data-Driven Approach
Matteo Strada
https://arxiv.org/abs/2507.17628 https://arxiv.org/pdf/2507.17628

Quantifying the ROI of Cyber Threat Intelligence: A Data-Driven Approach
The valuation of Cyber Threat Intelligence (CTI) remains a persistent challenge due to the problem of negative evidence: successful threat prevention results in non-events that generate minimal observable financial impact, making CTI expenditures difficult to justify within traditional cost-benefit frameworks. This study introduces a data-driven methodology for quantifying the return on investment (ROI) of CTI, thereby reframing it as a measurable contributor to risk mitigation. The proposed fr…

In-Ear Electrode EEG for Practical SSVEP BCI
Surej Mouli, Ramaswamy Palaniappan, Emmanuel Molefi, Ian McLoughlin
https://arxiv.org/abs/2509.15449 https://a…

In-Ear Electrode EEG for Practical SSVEP BCI
Steady State Visual Evoked Potential (SSVEP) methods for brain computer interfaces (BCI) are popular due to higher information transfer rate and easier setup with minimal training, compared to alternative methods. With precisely generated visual stimulus frequency, it is possible to translate brain signals into external actions or signals. Traditionally, SSVEP data is collected from the occipital region using electrodes with or without gel, normally mounted on a head cap. In this experimental s…

Reviewing some #aspnetcore Minimal API endpoint code today, and the need to inject every dependency, even a “RedirectManager”, feels like a code smell.
There is an elegance to an MVC endpoint or Razor Page that exists in a self-aware context.

Out of sheer curiosity, my wife just set up her first #Linux on a computer via the #Debian 13 #Trixie netinstall:

Towards a Nicolai map for supergravity
Federico Arrighi, Saurish Khandelwal, Olaf Lechtenfeld
https://arxiv.org/abs/2509.17973 https://arxiv.org/pdf/2509.1…

Towards a Nicolai map for supergravity
We investigate the possibility of a Nicolai map for minimal supergravity in four dimensions. Such a map would allow for the computation of quantum supergravity correlation functions in terms of flat-space correlators in an effective nonlocal bosonic theory with the help of a nonlinear field transformation, the inverse Nicolai map. Such a map is guaranteed for off-shell global supersymmetry, but local supersymmetry presents at least three obstacles for the construction. Their effects are analyze…

Basis partitions and their signature
Krishnaswami Alladi
https://arxiv.org/abs/2507.14734 https://arxiv.org/pdf/2507.14734

Basis partitions and their signature
Basis partitions are minimal partitions corresponding to successive rank vectors. We show combinatorially how basis partitions can be generated from primary partitions which are equivalent to the Rogers-Ramanujan partitions. This leads to the definition of a signature of a basis partition that we use to explain certain parity results. We then study a special class of basis partitions which we term as complete. Finally we discuss basis partitions and minimal basis partitions among partitions wit…

Singular minimal surfaces with constant curvature
Rafael L\'opez
https://arxiv.org/abs/2507.13668 https://arxiv.org/pdf/2507.1366…

Singular minimal surfaces with constant curvature
We prove that singular minimal surfaces with constant Gauss curvature are planes, spheres and cylindrical surfaces. We also classify all singular minimal surfaces with a constant principal curvature and singular minimal surfaces with constant mean curvature.

Sub-GeV Sterile Neutrino as a Probe of Neutrino Mass Generation in the Minimal Left-Right Symmetric Model
Gang Li, Ying-Ying Li, Sida Lu, Ye-Ling Zhou
https://arxiv.org/abs/2508.15609

Sub-GeV Sterile Neutrino as a Probe of Neutrino Mass Generation in the Minimal Left-Right Symmetric Model
The minimal left-right symmetric model (mLRSM) provides an elegant and testable framework for addressing the origin of neutrino masses. We examine the constraints on the sub-GeV sterile neutrino in the type-II seesaw scenario of the mLRSM without left-right mixing, taking limits from collider searches, meson decays, supernovae, neutrinoless double beta ($0νββ$) decay and cosmology. Specifically, we derive the $0νββ$ decay constraints using the advanced effective field theory approach and …

Slice depth of 2-knots
Ayaka Ise
https://arxiv.org/abs/2509.16905 https://arxiv.org/pdf/2509.16905

Slice depth of 2-knots
We introduce the notion of slice depth of a 2-knot K, which is the minimal integer n such that K is n-slice. We give an upper bound for the slice depth of the n-twist spin of a classical knot which belongs to several specific classes, namely, certain types of 2-bridge knots, pretzel knots, ribbon knots of 1-fusion, and knots with given unknotting number.

Embedded FPGA Acceleration of Brain-Like Neural Networks: Online Learning to Scalable Inference
Muhammad Ihsan Al Hafiz, Naresh Ravichandran, Anders Lansner, Pawel Herman, Artur Podobas
https://arxiv.org/abs/2506.18530

Embedded FPGA Acceleration of Brain-Like Neural Networks: Online Learning to Scalable Inference
Edge AI applications increasingly require models that can learn and adapt on-device with minimal energy budget. Traditional deep learning models, while powerful, are often overparameterized, energy-hungry, and dependent on cloud connectivity. Brain-Like Neural Networks (BLNNs), such as the Bayesian Confidence Propagation Neural Network (BCPNN), propose a neuromorphic alternative by mimicking cortical architecture and biologically-constrained learning. They offer sparse architectures with local …

non-Singular Spacetime Cores via Gravitational Evanescence of Collapsing Matter
Antonio Panassiti
https://arxiv.org/abs/2509.17234 https://arxiv.org/pdf/25…

non-Singular Spacetime Cores via Gravitational Evanescence of Collapsing Matter
Modified Einstein's equations implementing both an energy-dependent Newtonian and cosmological constant can be obtained via a modified action characterised by a non-minimal gravity-matter coupling. We show how different dynamics for the high energy regime - that nevertheless have in common the vanishing of the Newton constant - result in models of gravitational collapse which source the formation of non-singular geometries with different types of asymptotic core: de Sitter, Minkowski, and with …

Optimal Parametrizations and Valuations
Reinhold H\"ubl, Craig Huneke, Sarasij Maitra, Vivek Mukundan
https://arxiv.org/abs/2509.17139 https://arxiv.o…

Optimal Parametrizations and Valuations
This article discusses a way for uniquely setting up the valuations for the minimal generators of the maximal ideal of a one dimensional complete reduced and irreducible local algebra over an algebraically closed field, when treated as a subring of its integral closure. Our observations are a generalization of the more well-studied case of a numerical semigroup ring. These results provide completion to some missing arguments in certain proofs present in the existing literature, including some r…

The nuts and bolts of gauge invariance of heat transport
Stefano Baroni
https://arxiv.org/abs/2509.17386 https://arxiv.org/pdf/2509.17386

The nuts and bolts of gauge invariance of heat transport
In this work I revisit the notion of gauge invariance in thermal transport and show, in the simplest and most general possibile terms, why heat conductivity is unaffected by the specific choice of energy density. I provide the minimal and general conditions under which any two energy densities, though differing locally, lead to the same heat conductivity within the Green-Kubo framework. The relevance of gauge invariance in heat-transport simulations performed with machine-trained neural-network…

A Note on Helicoidal Singular Minimal Surfaces
Rafael L\'opez
https://arxiv.org/abs/2507.13669 https://arxiv.org/pdf/2507.13669…

A Note on Helicoidal Singular Minimal Surfaces
Let $α\in\r$ and let $\vec{v}\in\r^3$ be a unit vector. A singular minimal surface $Σ$ in Euclidean space is a surface $Σ$ whose mean curvature $H$ satisfies $H=α\frac{\langle N,\vec{v}\rangle}{\langle p,\vec{v}\rangle}$, where $N$ is the unit normal vector of $Σ$. In this short note we study singular minimal surfaces which are invariant by a one-parameter group of helicoidal motions. We prove that if $Σ$ is a helicoidal singular minimal surface, then the axis of the helicoidal motion is …

Accuracy and componentwise accuracy in multilinear PageRank
Mehdi Najafi Kalyani, Federico Poloni
https://arxiv.org/abs/2506.18356 https://

Accuracy and componentwise accuracy in multilinear PageRank
We study the stability with respect to perturbations and the accuracy of numerical algorithms for computing solutions to the multilinear PageRank problem $\mathbf{x} = (1-α)\mathbf{v} + α\mathcal{P} \mathbf{x}^2$. Our results reveal that the solution can be more stable with respect to perturbations and numerical errors with respect to the classical bounds for nonlinear systems of equations (based on the norm of the Jacobian). In detail, one can obtain bounds for the minimal solution which ign…

Extended Kalman Smoothing of Free Spin Precession Signals for Precise Magnetic Field Determination
Jasper Riebesehl, Lutz Mertensk\"otter, Wiebke Pohlandt, Wilhelm Stannat, Wolfgang Kilian
https://arxiv.org/abs/2507.17602

Extended Kalman Smoothing of Free Spin Precession Signals for Precise Magnetic Field Determination
We present a novel application of the Extended Kalman Smoother (EKS) for high-precision frequency estimation from free spin precession signals of polarized $^3$He. Traditional approaches often rely on nonlinear least-squares fitting, which can suffer from limited robustness to signal decay and time-dependent frequency shifts. By contrast, our EKS-based method captures both amplitude and frequency variations with minimal tuning, adapting automatically to fluctuations via an expectation-maximizat…

Mld versus lct near zero
Florin Ambro
https://arxiv.org/abs/2506.18507 https://arxiv.org/pdf/2506.18507

Mld versus lct near zero
We study the equivalence of approaching zero for two invariants of a singularity: the minimal log discrepancy and the log canonical threshold of the general hyperplane section.

Persistence and Topological Complexity
Facundo M\'emoli, Ling Zhou
https://arxiv.org/abs/2506.17888 https://arxiv.org/pdf/2506.17…

Persistence and Topological Complexity
Topological complexity is a homotopy invariant that measures the minimal number of continuous rules required for motion planning in a space. In this work, we introduce persistent analogs of topological complexity and its cohomological lower bound, the zero-divisor-cup-length, for persistent topological spaces, and establish their stability. For Vietoris-Rips filtrations of compact metric spaces, we show that the erosion distances between these persistent invariants are bounded above by twice th…

An Artificial Intelligence Driven Semantic Similarity-Based Pipeline for Rapid Literature
Abhiyan Dhakal (Kathmandu University, Dhulikhel, Nepal), Kausik Paudel (Kathmandu University, Dhulikhel, Nepal), Sanjog Sigdel (Kathmandu University, Dhulikhel, Nepal)
https://arxiv.org/abs/2509.15292

An Artificial Intelligence Driven Semantic Similarity-Based Pipeline for Rapid Literature
We propose an automated pipeline for performing literature reviews using semantic similarity. Unlike traditional systematic review systems or optimization based methods, this work emphasizes minimal overhead and high relevance by using transformer based embeddings and cosine similarity. By providing a paper title and abstract, it generates relevant keywords, fetches relevant papers from open access repository, and ranks them based on their semantic closeness to the input. Three embedding models…

Efficient Learning of Weak Deterministic B\"uchi Automata
Mona Alluwayma, Yong Li, Sven Schewe, Qiyi Tang
https://arxiv.org/abs/2508.14274 https://arx…

Efficient Learning of Weak Deterministic Büchi Automata
We present an efficient Angluin-style learning algorithm for weak deterministic Büchi automata (wDBAs). Different to ordinary deterministic Büchi and co-Büchi automata, wDBAs have a minimal normal form, and we show that we can learn this minimal normal form efficiently. We provide an improved result on the number of queries required and show on benchmarks that this theoretical advantage translates into significantly fewer queries: while previous approaches require a quintic number of queries…

Analytic Gravitational Wave Spectrum in Next-to-Minimal Bouncing Cosmology
Changhong Li
https://arxiv.org/abs/2507.12968 https://arxi…

Analytic Gravitational Wave Spectrum in Next-to-Minimal Bouncing Cosmology
Bouncing cosmology offers a singularity-free alternative to inflation, but its minimal realization-comprising only four cosmic phases-predicts a simple power-law stochastic gravitational-wave background (SGWB) with a narrow observational window. We introduce the next-to-minimal bouncing cosmology (NMBC), which adds an extra early contraction phase that imprints a broken power-law feature in the SGWB spectrum, enhancing detectability. Using our matrix-representation method grounded in an inequal…

Crosslisted article(s) found for cs.SE. https://arxiv.org/list/cs.SE/new
[1/1]:
- Hornet Node and the Hornet DSL: A Minimal, Executable Specification for Bitcoin Consensus
Toby Sharp

GR-3 Technical Report
Chilam Cheang, Sijin Chen, Zhongren Cui, Yingdong Hu, Liqun Huang, Tao Kong, Hang Li, Yifeng Li, Yuxiao Liu, Xiao Ma, Hao Niu, Wenxuan Ou, Wanli Peng, Zeyu Ren, Haixin Shi, Jiawen Tian, Hongtao Wu, Xin Xiao, Yuyang Xiao, Jiafeng Xu, Yichu Yang
https://arxiv.org/abs/2507.15493

GR-3 Technical Report
We report our recent progress towards building generalist robot policies, the development of GR-3. GR-3 is a large-scale vision-language-action (VLA) model. It showcases exceptional capabilities in generalizing to novel objects, environments, and instructions involving abstract concepts. Furthermore, it can be efficiently fine-tuned with minimal human trajectory data, enabling rapid and cost-effective adaptation to new settings. GR-3 also excels in handling long-horizon and dexterous tasks, inc…

Quantum-inspired wormholes from String T-Duality
Francisco S. N. Lobo, Manuel E. Rodrigues
https://arxiv.org/abs/2506.17950 https://a…

Quantum-inspired wormholes from String T-Duality
The intrinsic non-perturbative features of string-theoretic corrections, particularly those arising from T-duality, have been shown to naturally introduce an effective ultraviolet (UV) cutoff into the gravitational framework. This cutoff, often referred to as the zero-point length in the context of path integral duality, acts as a fundamental minimal length scale that regulates short-distance divergences. Using the established correspondence between T-duality and path integral duality, it has b…

Motivic classes of fixed-generators Hilbert schemes of unibranch curve singularities and Igusa zeta functions
Ilaria Rossinelli
https://arxiv.org/abs/2507.17642 https://

Motivic classes of fixed-generators Hilbert schemes of unibranch curve singularities and Igusa zeta functions
This paper delves into the study of Hilbert schemes of unibranch plane curves whose points have a fixed number of minimal generators. Building on the work of Oblomkov, Rasmussen and Shende we provide a formula for their motivic classes and investigate the relationship with principal Hilbert schemes of the same given unibranch curve. In addition, the paper specializes this study to the case of $(p,q)$-curves, where we obtain more structured results for the motivic classes of fixed-generators Hil…

Pseudo-Euclidean representations of switching classes of Johnson and Hamming graphs with minimal dimension
Hiroshi Nozaki, Masashi Shinohara, Sho Suda
https://arxiv.org/abs/2507.13592

Pseudo-Euclidean representations of switching classes of Johnson and Hamming graphs with minimal dimension
This paper considers minimum-dimensional representations of graphs in pseudo-Euclidean spaces, where adjacency and non-adjacency relations are reflected in fixed scalar square values. A representation of a simple graph $(V,E)$ is a mapping $φ$ from the vertices to the pseudo-Euclidean space $\mathbb{R}^{p,q}$ such that $||φ(u)-φ(v)|| = a$ if $(u,v) \in E$, $b$ if $(u,v) \notin E$ and $u \ne v$, and $0$ if $u = v$, for some $a,b \in \mathbb{R}$, where $||\boldsym…

Computing-In-Memory Dataflow for Minimal Buffer Traffic
Choongseok Song, Doo Seok Jeong
https://arxiv.org/abs/2508.14375 https://arxiv.org/pdf/2508.14375…

Computing-In-Memory Dataflow for Minimal Buffer Traffic
Computing-In-Memory (CIM) offers a potential solution to the memory wall issue and can achieve high energy efficiency by minimizing data movement, making it a promising architecture for edge AI devices. Lightweight models like MobileNet and EfficientNet, which utilize depthwise convolution for feature extraction, have been developed for these devices. However, CIM macros often face challenges in accelerating depthwise convolution, including underutilization of CIM memory and heavy buffer traffi…

Moduli Theory of the $r$-Braid Arrangement
Vance Blankers, Emily Clader, Iva Halacheva, Haggai Liu, Dustin Ross
https://arxiv.org/abs/2506.18205 https://…

Moduli Theory of the $r$-Braid Arrangement
We describe a family of hyperplane arrangements depending on a positive integer parameter $r$, which we refer to as the $r$-braid arrangements, and which can be viewed as a generalization of the classical braid arrangement. The wonderful compactification of the braid arrangement (with respect to its minimal building set) is well-known to yield the moduli space $\overline{\mathcal{M}}_{0,n}$, and, in this work, we generalize this result, constructing a moduli space $\overline{\mathcal{M}}^r_{n}$…

Uniqueness in the Plateau problem near Quadratic cones
Vishnu Nandakumaran, G\'abor Sz\'ekelyhidi
https://arxiv.org/abs/2509.15503 https://arxiv.or…

Uniqueness in the Plateau problem near Quadratic cones
We consider minimal hypersurfaces inside the unit ball whose boundary on the sphere is a small perturbation of the link of a minimizing quadratic cone. We show that such minimal surfaces are uniquely determined by their boundary condition. In particular the solutions of the Plateau problem are unique for boundary conditions given by small perturbations of the link of a quadratic cone.

Remarks on Associated Varieties and Minimal Tension Holography
Andrea E. V. Ferrari
https://arxiv.org/abs/2507.13223 https://arxiv.or…

Remarks on Associated Varieties and Minimal Tension Holography
We comment on certain analogies that have recently emerged between path integral localisation phenomena in minimal tension string theory on $\mathrm{AdS}_3\times S^3\times T^4$ and associated varieties of boundary vertex algebras of 3d $\mathcal{N}=4$ theories. We give evidence for the fact that the path integral localisation relies on an intriguing relation between the conformal boundary of $\mathrm{AdS}_3$ and the associated variety of $V_1(\mathfrak{psl}(2|2))$, (the complexification of…

Effects of non-minimal scalar field couplings with curvature tensors on perturbations in non-commutative Schwarzschild spacetimes
Majid Karimabadi, Davood Mahdavian Yekta, S. A. Alavi
https://arxiv.org/abs/2508.13820

Effects of non-minimal scalar field couplings with curvature tensors on perturbations in non-commutative Schwarzschild spacetimes
This work presents a comparative analysis of the quasi-normal modes (QNMs) of scalar field perturbations in the non-commutative Schwarzschild black hole spacetime, focusing on two different non-minimal curvature couplings: in the first case the scalar field is coupled to the Ricciscalar while in the second the field's derivatives are coupled to the Einstein tensor. These couplings are important in the cosmological modified gravity models and low energy effects of perturbative quantum gravity. I…

Decentralized Vision-Based Autonomous Aerial Wildlife Monitoring
Makram Chahine, William Yang, Alaa Maalouf, Justin Siriska, Ninad Jadhav, Daniel Vogt, Stephanie Gil, Robert Wood, Daniela Rus
https://arxiv.org/abs/2508.15038

Decentralized Vision-Based Autonomous Aerial Wildlife Monitoring
Wildlife field operations demand efficient parallel deployment methods to identify and interact with specific individuals, enabling simultaneous collective behavioral analysis, and health and safety interventions. Previous robotics solutions approach the problem from the herd perspective, or are manually operated and limited in scale. We propose a decentralized vision-based multi-quadrotor system for wildlife monitoring that is scalable, low-bandwidth, and sensor-minimal (single onboard RGB cam…

Towards Scalable and Interpretable Mobile App Risk Analysis via Large Language Models
Yu Yang, Zhenyuan Li, Xiandong Ran, Jiahao Liu, Jiahui Wang, Bo Yu, Shouling Ji
https://arxiv.org/abs/2508.15606

Towards Scalable and Interpretable Mobile App Risk Analysis via Large Language Models
Mobile application marketplaces are responsible for vetting apps to identify and mitigate security risks. Current vetting processes are labor-intensive, relying on manual analysis by security professionals aided by semi-automated tools. To address this inefficiency, we propose Mars, a system that leverages Large Language Models (LLMs) for automated risk identification and profiling. Mars is designed to concurrently analyze multiple applications across diverse risk categories with minimal human …

Non-Commutative weak measurements: Entanglement, Symmetry Breaking, and the Role of Readout
Yuanchen Zhao, Li Rao, Dong E. Liu
https://arxiv.org/abs/2508.15280 https://

Non-Commutative weak measurements: Entanglement, Symmetry Breaking, and the Role of Readout
The preparation of long-range entangled (LRE) states via quantum measurements is a promising strategy, yet its stability against realistic, non-commuting measurement noise remains a critical open question. Here, we systematically investigate the rich phase structure emerging from a minimal model of competing, non-commuting weak measurements: nearest-neighbor Ising ($Z_iZ_j$) and single-qubit transverse ($X_i$) operators. We analyze three experimentally relevant scenarios based on which measurem…

Connecting hypercube 1-factors
Lawrence Hollom, Benedict Randall Shaw
https://arxiv.org/abs/2508.15698 https://arxiv.org/pdf/2508.15698

Connecting hypercube 1-factors
A 1-factorisation of a regular graph $G$ is a partition of its edge set $E(G)$ into perfect matchings of $G$. Behague asked for the minimal $r=r(d)$ such that some $1$-factorisation of the $d$-dimensional hypercube $Q_d$ has the property that the union of any $r$ of its 1-factors is connected. Previous work by Laufer on perfect $1$-factorisations implied that $r$ is at least three, and Behague gave a construction with $r=\big\lceil\frac{d}{2}\big\rceil+1$. We improve this upper bound, giving a …

Some minimal hypersurfaces in the ($n 1$)-space with $2m$-norm
Makoto Sakaki, Ryota Tanaka
https://arxiv.org/abs/2508.12528 https://arxiv.org/pdf/2508.1252…

Some minimal hypersurfaces in the ($n+1$)-space with $2m$-norm
We study translation minimal hypersurfaces and separable minimal hypersurfaces in the ($n+1$)-space with $2m$-norm.

Gluing doubly periodic Scherk surfaces into minimal surfaces
Hao Chen, Yunhua Wu
https://arxiv.org/abs/2507.12859 https://arxiv.org/p…

Gluing doubly periodic Scherk surfaces into minimal surfaces
We construct minimal surfaces by stacking doubly periodic Scherk surfaces one above another and gluing them along their ends. It is previously known that the Karcher--Meeks--Rosenberg (KMR) doubly periodic minimal surfaces and Meeks' family of triply periodic minimal surfaces can both be obtained by gluing two Scherk surfaces. There have been hope and failed attempts to glue more Scherk surfaces. But our analysis shows that this is impossible: Such a glue construction can only produce the trivi…

Quantum eigenpair solver with minimal sampling overhead
Sven Danz
https://arxiv.org/abs/2509.14741 https://arxiv.org/pdf/2509.14741

Quantum eigenpair solver with minimal sampling overhead
The advantage that many quantum algorithms have over their classical counterparts may be lost when the results are extracted as classical data (output problem). One example are eigenpair solvers, which encode the eigenpairs in a quantum state. Extracting these states results in significant sampling overheads. We propose an amplitude-amplification-based post-filtering process that reduces the number of eigenpairs encoded in the final state to a feasible amount. Often for practical applications, …

The essential and the Cremona dimensions of a group
Igor Dolgachev
https://arxiv.org/abs/2507.15096 https://arxiv.org/pdf/2507.15096

The essential and the Cremona dimensions of a group
The Cremona dimension of a group $G$ is the minimal $n$ such that $G$ is isomorphic to a subgroup of the Cremona group of birational transformations of an $n$-dimensional rational variety. In this survey article, we give many examples that gives evidence to the conjecture that the Cremona dimension of a finite group over the field of complex numbers is less than or equal to the essential dimension of the group.

Minimal tori in $\mathbb{R}^4$
Marc Soret, Marina Ville
https://arxiv.org/abs/2507.12914 https://arxiv.org/pdf/2507.12914

Minimal tori in $\mathbb{R}^4$
We describe tools for the study of minimal surfaces in $\mathbb{R}^4$; some are classical (the Gauss maps) and some are newer (the link/braid/writhe at infinity). Then we look for complete proper non holomorphic minimal tori with total curvature $-8π$ and a single end immersed in $\mathbb{R}^4$. We translate the problem into a system of $10$ quadratic or linear equations in $11$ real variables with coefficients in terms of the Weierstrass function $\wp$ and give explicit solutions for these eq…

Matroids and the integral Hodge conjecture for abelian varieties
Philip Engel, Olivier de Gaay Fortman, Stefan Schreieder
https://arxiv.org/abs/2507.15704 …

Matroids and the integral Hodge conjecture for abelian varieties
We prove that the cohomology class of any curve on a very general principally polarized abelian variety of dimension at least 4 is an even multiple of the minimal class. The same holds for the intermediate Jacobian of a very general cubic threefold. This disproves the integral Hodge conjecture for abelian varieties and shows that very general cubic threefolds are not stably rational. Our proof is motivated by tropical geometry; it relies on multivariable Mumford constructions, monodromy conside…

Classification of del {P}ezzo surfaces of rank one. III. Height 3
Karol Palka, Tomasz Pe{\l}ka
https://arxiv.org/abs/2508.13609 https://arxiv.org/pdf/2508.…

Classification of del {P}ezzo surfaces of rank one. III. Height 3
This article is a part of a series aimed at classifying normal del Pezzo surfaces of Picard rank one over an algebraically closed field of arbitrary characteristic, up to an isomorphism. The key invariant guiding our classification is the height, defined as the minimal number $h$ such that the minimal resolution of singularities admits a $\mathbb{P}^1$-fibration whose fiber meets the exceptional divisor $h$ times. It is expected that every singular del Pezzo surface of rank one is of height $h\…