Tootfinder

A note on connecting multiplicative functions defined on finite groups
Jo\~ao Victor Monteiros de Andrade, Leonardo Santos da Cruz
https://arxiv.org/abs/2509.09166 https://

A note on connecting multiplicative functions defined on finite groups
In the present work we explore relationships between multiplicative functions defined in \cite{Garonzi_2018}, \cite{Lazorec}. To do so, we use other important quotients defined and studied in \cite{ndeg}, \cite{Marius}, thus establishing deeper connections that were previously little or not evaluated in some group families. Furthermore, we extract new characterizations and asymptotic patterns for some classes of groups.

Optimal binary codes from $\mathcal{C}_{D}$-codes over a non-chain ring
Ankit Yadav, Ritumoni Sarma, Anuj Kumar Bhagat
https://arxiv.org/abs/2510.09057 https://

Optimal binary codes from $\mathcal{C}_{D}$-codes over a non-chain ring
In \cite{shi2022few-weight}, Shi and Li studied $\mathcal{C}_D$-codes over the ring $\mathcal{R}:=\mathbb{F}_2[x,y]/\langle x^2, y^2, xy-yx\rangle$ and their binary Gray images, where $D$ is derived using certain simplicial complexes. We study the subfield codes $\mathcal{C}_{D}^{(2)}$ of $\mathcal{C}_{D}$-codes over $\mathcal{R},$ where $D$ is as in \cite{shi2022few-weight} and more. We find the Hamming weight distribution and the parameters of $\mathcal{C}_D^{(2)}$ for various $D$, and identi…

Embedding Signature-Changing Manifolds: A Braneworld and Kaluza-Klein Perspective
N. E. Rieger
https://arxiv.org/abs/2508.08662 https://arxiv.org/pdf/2508.…

Embedding Signature-Changing Manifolds: A Braneworld and Kaluza-Klein Perspective
We investigate a class of semi-Riemannian manifolds characterized by smooth metric signature changes with a transverse radical, This class includes spacetimes relevant to cosmological models such as the Hartle-Hawking "no boundary" proposal \cite{Hartle Hawking -- Wave function of the Universe}, where a Riemannian manifold transitions smoothly into a Lorentzian spacetime without boundaries or singularities. For this class, we prove the existence of global isometric embeddings into higher-dimens…

Quasisimilarity and compact perturbations
Salah Mecheri
https://arxiv.org/abs/2510.09279 https://arxiv.org/pdf/2510.09279

Quasisimilarity and compact perturbations
In this paper we show that quasisimilar $n$-tuples of tensor products of $m$-isometric operators have the same spectra, essential spectra and indices. The properties of single Fredholm operators possess \cite{4} is related to an important property which has a leading role on the theory of Fredholm operators: Fredholm n-tuples of operators. It is well known that a Fredholm operator of index zero can be perturbed by a compact operator to an invertible operator. In \cite[Problem 3]{5} the author a…

The Exact $\varepsilon$-Hypercyclicity Threshold
Geivison Ribeiro
https://arxiv.org/abs/2509.09406 https://arxiv.org/pdf/2509.09406

The Exact $\varepsilon$-Hypercyclicity Threshold
In this paper we give an affirmative answer to the problem proposed by Bayart in 2024 \cite{Bayart2024JMAA}: given $\varepsilon\in(0,1)$, there exists an operator which is $δ$-hypercyclic if and only if $δ\in[\varepsilon,1)$.

Representations of the N=1 Heisenberg-Virasoro superalgebra
Ziqi Hong, Haibo Chen, Yucai Su
https://arxiv.org/abs/2508.08738 https://arxiv.org/pdf/2508.087…

Representations of the N=1 Heisenberg-Virasoro superalgebra
We first define a class of non-weight modules over the N=1 Heisenberg-Virasoro superalgebra $\mathfrak{g}$, which are reducible modules. Then we give all submodules of such modules, and present the corresponding irreducible quotient modules which were exactly studied in \cite{DL}. Also, we prove that those modules constitute a complete classification of $U(\mathfrak{h})$-free modules of rank $2$ over $\mathfrak{g}$, where $\mathfrak{h}=\C L_{0}\oplus\C H_{0}$ is the degree-0 part of $\mathfra…

dblp_cite: DBLP citations (2014)
Citations among papers contained in the DBLP computer science bibliography. If a paper i cites a paper j also in this data set, then a directed edge connects i to j. (Papers not in the data set are excluded.) Self-loops may be present. This snapshot from May 2014.
This network has 12590 nodes and 49759 edges.
Tags: Informational, Citation, Unweighted

Theoretical guarantees for change localization using conformal p-values
Swapnaneel Bhattacharyya, Aaditya Ramdas
https://arxiv.org/abs/2510.08749 https://a…

Theoretical guarantees for change localization using conformal p-values
Changepoint localization aims to provide confidence sets for a changepoint (if one exists). Existing methods either relying on strong parametric assumptions or providing only asymptotic guarantees or focusing on a particular kind of change(e.g., change in the mean) rather than the entire distributional change. A method (possibly the first) to achieve distribution-free changepoint localization with finite-sample validity was recently introduced by \cite{dandapanthula2025conformal}. However, whil…

Is it significant that, to date, I have not heard a single politician cite #ThomasPiketty?
https://www.tumblr.com/teledyn/799951466541498368/thomas-piketty-recent?source=share

Persistent-DPO: A novel loss function and hybrid learning for generative quantum eigensolver
Junya Nakamura, Shinichiro Sanji
https://arxiv.org/abs/2509.08351 https://

Persistent-DPO: A novel loss function and hybrid learning for generative quantum eigensolver
We study the generative quantum eigensolver (GQE)~\cite{nakaji2024generative}, which trains a classical generative model to produce quantum circuits with desired properties such as describing molecular ground states. We introduce two methods to improve GQE. First, we identify a limitation of direct preference optimization (DPO) when used as the loss function in GQE, and propose Persistent-DPO (P-DPO) as a solution to this limitation. Second, as a method to improve the online learning during the…

Scalar Field Reconstructions of Holographic Dark Energy Models with Applications to Chaplygin Gas, DBI, Yang-Mills, and NLED Frameworks
Antonio Pasqua
https://arxiv.org/abs/2509.08029

Scalar Field Reconstructions of Holographic Dark Energy Models with Applications to Chaplygin Gas, DBI, Yang-Mills, and NLED Frameworks
In this study, we investigate the cosmological implications of two DE models, introduced by Chen \& Jing \cite{modelhigher} and by Granda \& Oliveros \cite{gohnde}. The first model comprises three principal components: one term proportional to the Hubble parameter $ H$ squared, and two additional terms proportional to the first and second time derivatives of $ H $, respectively. The second model, known as New Holographic Dark Energy (NHDE) model, can be considered a generalization of the Ricci …

Maximal dilatation on nonorientable surfaces
Ji-Young Ham, Joongul Lee
https://arxiv.org/abs/2508.08323 https://arxiv.org/pdf/2508.08323

Maximal dilatation on nonorientable surfaces
On each nonorientable surface of even genus $g \geq 4$, we show that the Liechti-Strenner's polynomial in~\cite{LiechtiStrenner18} gives a maximal dilatation among pseudo-Anosov diffeomorphisms with an orientable invariant foliation. This is proved by showing that this polynomial is irreducible.

CSI-IBBS: Identity-Based Blind Signature using CSIDH
Soumya Bhoumik, Sarbari Mitra, Rohit Raj Sharma, Kuldeep Namdeo
https://arxiv.org/abs/2509.06127 https://

CSI-IBBS: Identity-Based Blind Signature using CSIDH
Identity-based cryptography (IBC), proposed by Adi Shamir, revolutionized public key authentication by eliminating the need for certificates, enabling a more efficient and scalable approach to cryptographic systems. Meanwhile, in \cite{Katsumata2024group}, Katsumata et al. were the first to present the blind signature protocol based on the hardness assumption of isogeny with provable security, which resembles the Schnorr blind signature. Building upon these foundational concepts, we propose an …

Lagrangian interpretation of Abel-Jacobi mappings associated to Fano threefolds
Rodolfo Aguilar, Mark Green, Phillip Griffiths
https://arxiv.org/abs/2509.06197 https://

Lagrangian interpretation of Abel-Jacobi mappings associated to Fano threefolds
Using the general framework due to Donagi-Markman \cite{DM} and Markushevich \cite{M} we shall derive an expression for the differential of Abel-Jacobi mappings on Fano threefolds. This formula involves information normal to the Lagrangian submanifolds constructed in \cite{DM} and \cite{M}. It may be applied to give new proofs of a number of classical results about these varieties.

Theoretical and experimental basis for excluding Einstein-Cartan theory within the USMEG-EFT framework
Farrukh A. Chishtie
https://arxiv.org/abs/2509.08848 https://

Theoretical and experimental basis for excluding Einstein-Cartan theory within the USMEG-EFT framework
The USMEG-EFT framework~\cite{ChishtieEFT2025,ChishtieBreakdown2023} provides systematic quantum gravity through with 4D General Relativity (GR) achieving Standard Model-gravity unification. This work examines Einstein-Cartan theory against McKeon et al.'s claims~\cite{BrandtFrenkelMcKeon2024,McKeonBrandtFrenkel2025} regarding its viability for unification. McKeon et al.'s 2024 analysis omitted key interaction terms, missing Einstein-Cartan's central content. Their 2025 claim that unification r…

NSVZ-Compatible Three-Loop Gauge $\beta$-Functions and Regulator-Driven Scheme Structure in Supersymmetric Theories with Exponential Higher Covariant Derivative Regularization
Swapnil kumar Singh
https://arxiv.org/abs/2509.06799

NSVZ-Compatible Three-Loop Gauge $β$-Functions and Regulator-Driven Scheme Structure in Supersymmetric Theories with Exponential Higher Covariant Derivative Regularization
We study the three-loop gauge $β$-functions in general $\mathcal{N}=1$ supersymmetric gauge theories regularized by higher covariant derivatives (HCD) supplemented with Pauli--Villars subtraction. The all-structure three-loop form is known in the HCD framework (e.g.~\cite{Kazantsev2020,Haneychuk2022,Haneychuk2025}) and involves regulator-dependent parameters. Here we evaluate these parameters explicitly for the exponential regulators $R(x)=e^{x^n}$ and $F(x)=e^{x^m}$. We obtain the constants $…

Jets countersue ex-executive, cite nearly 4,000 deleted texts in alleged plot against team president

https://www.cbssports.com/nfl/news/jets-co

On numerical invariants of retraction map
Nursultan Kuanyshov
https://arxiv.org/abs/2509.05745 https://arxiv.org/pdf/2509.05745

On numerical invariants of retraction map
We introduce a notion of retraction between continuous maps of topological spaces and study the behavior of several numerical invariants under such retractions. These include (co)homological dimensions, the Lusternik-Schnirelmann category, the topological complexity, and the sequential topological complexity. We prove that, under the retraction map, the corresponding inequalities between invariants hold. Our results also apply to recent invariants are defined by Dranishnikov, Jauhari \cite{DJ} …

High-order staggered Lagrangian hydrodynamics (II) : the artificial viscosity and hourglass control algorithm
Zhiyuan Sun, Jun Liu, Pei Wang
https://arxiv.org/abs/2509.07636 htt…

High-order staggered Lagrangian hydrodynamics (II) : the artificial viscosity and hourglass control algorithm
In this article, we investigate the artificial viscosity and hourglass control algorithms for high-order staggered Lagrangian hydrodynamics(SGH), as proposed in~\cite[Sun et al., 2025]{Sun2025High}. Inspired by the subzonal pressure method in classical staggered Lagrangian hydrodynamics, we extend the stiffness-based hourglass control algorithm to the high-order setting, enriching the pressure field from the $Q^{m-1}$ to the $Q^{m}$ polynomial space. A unified framework for this hourglass contr…

On the exponential convergence to equilibrium for ultrafast diffusion equations
Yi C. Huang, Xinhang Tong
https://arxiv.org/abs/2509.07382 https://arxiv.or…

On the exponential convergence to equilibrium for ultrafast diffusion equations
We propose a simple proof of the exponential convergence to equilibrium for ultrafast diffusion equations in $\mathbb{R}^n$. Our approach, based on the direct use of Poincaré inequality, gets rid of the optimal transport arguments used in \cite{fathi2025} which are valid for Gaussian-excluded one-dimensional weights. This simplification allows us to extend their results to Gaussian measures in higher dimensions.

An abstract criterion on the existence and global stability of stationary solutions for random dynamical systems and its applications
Xiang Lv
https://arxiv.org/abs/2508.08497 h…

An abstract criterion on the existence and global stability of stationary solutions for random dynamical systems and its applications
We prove a concise and easily verifiable criterion on the existence and global stability of stationary solutions for random dynamical systems (RDSs). As a consequence, we can show that the $ω$-limit sets of all pullback trajectories of semilnear/nonlinear stochastic differential equations (SDEs) with additive/multiplicative white noise are composed of nontrivial random equilibria. The proof is different from the classical RDS scheme, which was established in \cite{CKS}. Furthermore, in the app…

The Smith normal form of distance matrices of high dimensional trees
Carlos A. Alfaro, Jes\'us Uriel Medrano, Iv\'an T\'ellez T\'ellez
https://arxiv.org/abs/2510.04471

The Smith normal form of distance matrices of high dimensional trees
Graham-Lovász-Pollak \cite{GL,GP} obtained the celebrated formula $$\det({\sf D}(T_{n+1}))=(-1)^nn2^{n-1},$$ for the determinant of the distance matrix ${\sf D}(T_{n+1})$ for any tree $T_{n+1}$ with $n+1$ vertices. Later, Hou and Woo \cite{HW} extended this formula to the Smith normal form (SNF) obtaining that $\SNF({\sf D}(T_{n+1}))={\sf I}_2\oplus 2{\sf I}_{n-2}\oplus [2n]$, for any tree $T_{n+1}$ with $n+1$ vertices. A $k$-{\it tree} is either a complete graph on $k$ vertices or a graph o…

Corrigendum to "Degree-Based Approximations for Network Reliability Polynomials". Comment on J. Complex Networks 2025, 13, cnaf001
Xinhan Liu, Piet Van Mieghem
https://arxiv.org/abs/2510.06247

Corrigendum to "Degree-Based Approximations for Network Reliability Polynomials". Comment on J. Complex Networks 2025, 13, cnaf001
Our original paper \cite{VanMieghem2025} described the stochastic approximation $\overline{rel}_G(p)=\bigl[1-ϕ_D(1-p)\bigr]^{N}$ in \cite[eq. (2.2)]{VanMieghem2025} and the first-order approximation $(R_1)_G(p)=\prod_{i=1}^{N}\!\bigl[1-(1-p)^{d_i}\bigr]$ in \cite[eq. (4.1)]{VanMieghem2025} as upper bounds for the all-terminal reliability polynomial \(rel_G(p)\). The present corrigendum clarifies that the unique upper bound is \(\Pr[\hat D_{\min}\geq 1]\), which is difficult to compute exactly,…

A Small Collusion is All You Need
Yotam Gafni
https://arxiv.org/abs/2510.05986 https://arxiv.org/pdf/2510.05986

A Small Collusion is All You Need
Transaction Fee Mechanisms (TFMs) study auction design in the Blockchain context, and emphasize robustness against miner and user collusion, moreso than traditional auction theory. \cite{chung2023foundations} introduce the notion of a mechanism being $c$-Side-Contract-Proof ($c$-SCP), i.e., robust to a collusion of the miner and $c$ users. Later work \cite{chung2024collusion,welfareIncreasingCollusion} shows a gap between the $1$-SCP and $2$-SCP classes. We show that the class of $2$-SCP mechan…

Estimation for the logarithmic partial derivative and Wiman-Valiron theory in several complex variables
Junfeng Xu, Sujoy Majumder, Nabadwip Sarkar
https://arxiv.org/abs/2509.07113

Estimation for the logarithmic partial derivative and Wiman-Valiron theory in several complex variables
The first objective of the paper is to estimate logarithmic partial derivative for meromorphic functions in several complex variables. Our estimations for logarithmic partial derivatives extend the results of Gundersen \cite{GG2} to the higher dimensions. The second objective of the paper is to study Wiman-Valiron theory into higher dimensions. The third objective of this paper is to study the growth of solutions of a class of complex partial differential equations and our obtained result is th…

Monotones from multi-invariants: a classification
Abhijit Gadde, Shraiyance Jain
https://arxiv.org/abs/2509.06348 https://arxiv.org/pdf/2509.06348

Monotones from multi-invariants: a classification
In this paper we study local unitary invariants of a multi-partite quantum state that are monotonic, on average, under local operations and classical communication (locc). In particular we focus on local unitary invariants that are constructed out of polynomials in the state and its conjugate - called multi-invariants. Multi-invariants are labeled by certain types of graphs. Recently, in \cite{Gadde:2024jfi}, the authors related the condition of monotonicity under locc to a graph theoretic cond…

Supersymmetries in the theory of W-algebras
Andrew Linshaw, Arim Song, Uhi Rinn Suh
https://arxiv.org/abs/2510.03957 https://arxiv.org/pdf/2510.03957

Supersymmetries in the theory of W-algebras
Let $\mathfrak{g}$ be a basic Lie superalgebra and $f$ be an odd nilpotent element in an $\mathfrak{osp}(1|2)$ subalgebra of $\mathfrak{g}$. We provide a mathematical proof of the statement that the W-algebra $W^k(\mathfrak{g},F)$ for $F=-\frac{1}{2}[f,f]$ is a vertex subalgebra of the SUSY W-algebra $W_{N=1}^k(\mathfrak{g},f)$, and that it commutes with all weight $\frac{1}{2}$ fields in $W_{N=1}^k(\mathfrak{g},f)$. Note that it has been long believed by physicists \cite{MadRag94}. In par…

Hallucination-Resistant, Domain-Specific Research Assistant with Self-Evaluation and Vector-Grounded Retrieval
Vivek Bhavsar, Joseph Ereifej, Aravanan Gurusami
https://arxiv.org/abs/2510.02326

Hallucination-Resistant, Domain-Specific Research Assistant with Self-Evaluation and Vector-Grounded Retrieval
Large language models accelerate literature synthesis but can hallucinate and mis-cite, limiting their usefulness in expert workflows. We present RA-FSM (Research Assistant - Finite State Machine), a modular GPT-based research assistant that wraps generation in a finite-state control loop: Relevance -> Confidence -> Knowledge. The system is grounded in vector retrieval and a deterministic citation pipeline. The controller filters out-of-scope queries, scores answerability, decomposes questions,…

On the Log Hodge Theory of Toroidal Varieties and a Partial Proof of the Absolute Hodge Conjecture
Jiaming Luo
https://arxiv.org/abs/2509.07672 https://arx…

On the Log Hodge Theory of Toroidal Varieties and a Partial Proof of the Absolute Hodge Conjecture
In this paper, we establish an innovative framework in logarithmic Hodge theory for toroidal varieties, introducing weighted toroidal structures and developing a systematic obstruction theory for Hodge classes. Building upon recent advances in toroidal geometry, particularly the $E_1$-degeneration results of Wei (\cite{Wei24}), we construct a categorical Hodge correspondence and prove the Absolute Hodge conjecture for projective toroidal varieties equipped with rational-weighted structures sati…

A $1000\times$ Faster LLM-enhanced Algorithm For Path Planning in Large-scale Grid Maps
Junlin Zeng, Xin Zhang, Xiang Zhao, Yan Pan
https://arxiv.org/abs/2510.02716 https://

A $1000\times$ Faster LLM-enhanced Algorithm For Path Planning in Large-scale Grid Maps
Path planning in grid maps, arising from various applications, has garnered significant attention. Existing methods, such as A*, Dijkstra, and their variants, work well for small-scale maps but fail to address large-scale ones due to high search time and memory consumption. Recently, Large Language Models (LLMs) have shown remarkable performance in path planning but still suffer from spatial illusion and poor planning performance. Among all the works, LLM-A* \cite{meng2024llm} leverages LLM to …

Criminalizing poverty is cruel and inhumane 😡
1. OPD should never ever cite or arrest someone just for being homeless
2. Before evicting someone from their shelter of last resort, the city should provide an option of a safe place to go, and enough time to move there with their belongings
http…

Oakland could arrest people for being homeless under councilmember’s proposal 
An Oakland councilmember has proposed new encampment rules that would fundamentally alter how the city interacts with people living on the street.

Can we cite Wikipedia? What if Wikipedia was more reliable than its detractors ?
Mohamed El Louadi
https://arxiv.org/abs/2509.02462 https://arxiv.org/pdf/2…

Can we cite Wikipedia? What if Wikipedia was more reliable than its detractors ?
Wikipedia, a widely successful encyclopedia recognized in academic circles and used by both students and professors alike, has led educators to question whether it can be cited as an information source, given its widespread use for this very purpose. The dilemma quickly emerged: if Wikipedia has become the go-to information source for so many, why can't it be cited? If consulting and using Wikipedia as a source of information is permitted, why does it become controversial the moment one attempt…

Row-Column Twisted Reed-Solomon codes
Anuj Kumar Bhagat, Harshdeep Singh, Ritumoni Sarma
https://arxiv.org/abs/2509.06919 https://arxiv.org/pdf/2509.06919

Row-Column Twisted Reed-Solomon codes
In this article, we present a new class of codes known as row-column twisted Reed-Solomon codes (abbreviated as RCTRS), motivated by the works of \cite{beelen2017twisted} and \cite{liu2025column}. We explicitly provide conditions for such codes to be MDS and also ensure their existence. By determining the dimensions of their Schur squares, we prove that these MDS codes are not equivalent to Reed-Solomon codes, thus presenting a new family of non-RS MDS codes. Additionally, we prove that these M…

A bribery attempt : "10€ if you cite me"
Never got that before, and most likely just a phishing atempt.
#bribery

Gravitational Waves on Kerr Black Holes II: Metric Reconstruction with Cosmological Constant
Roman Berens, Trevor Gravely, Alexandru Lupsasca
https://arxiv.org/abs/2510.07712 ht…

Gravitational Waves on Kerr Black Holes II: Metric Reconstruction with Cosmological Constant
In this second paper of our series started with \cite{Berens2024}, we investigate linearized gravitational perturbations of a rotating Kerr black hole in a non-asymptotically flat spacetime with (anti-)de Sitter boundary conditions. Here, we explicitly write down the metric components (in both ingoing and outgoing radiation gauge) of the perturbations that correspond to a given mode of either Weyl scalar. We provide formulas involving Hertz potentials (intermediate quantities with a holographic…

Boundary Conditions of Warped AdS$_3$ in New Massive Gravity
S. N. Sajadi, Supakchai Ponglertsakul
https://arxiv.org/abs/2510.06572 https://arxiv.org/pdf/2…

Boundary Conditions of Warped AdS$_3$ in New Massive Gravity
To satisfy the Cardy formula for Warped AdS$_3$ (WAdS$_{3}$) solutions in a quadratic ensemble, a specific set of boundary conditions has been proposed in \cite{Aggarwal:2020igb}. In this paper, these boundary conditions have been investigated in the three-dimensional new massive gravity (NMG) framework. The associated solution space, asymptotic symmetries, and charge algebra have been extracted. It has been shown that the surface charges are finite, but not integrable, and the integrability of…

dblp_cite: DBLP citations (2014)
Citations among papers contained in the DBLP computer science bibliography. If a paper i cites a paper j also in this data set, then a directed edge connects i to j. (Papers not in the data set are excluded.) Self-loops may be present. This snapshot from May 2014.
This network has 12590 nodes and 49759 edges.
Tags: Informational, Citation, Unweighted

Pan-Cancer mitotic figures detection and domain generalization: MIDOG 2025 Challenge
Zhuoyan Shen, Esther B\"ar, Maria Hawkins, Konstantin Br\"autigam, Charles-Antoine Collins-Fekete
https://arxiv.org/abs/2509.02585

Pan-Cancer mitotic figures detection and domain generalization: MIDOG 2025 Challenge
This report details our submission to the Mitotic Domain Generalization (MIDOG) 2025 challenge, which addresses the critical task of mitotic figure detection in histopathology for cancer prognostication. Following the "Bitter Lesson"\cite{sutton2019bitterlesson} principle that emphasizes data scale over algorithmic novelty, we have publicly released two new datasets to bolster training data for both conventional \cite{Shen2024framework} and atypical mitoses \cite{shen_2025_16780587}. Besides, w…

Improving Online-to-Nonconvex Conversion for Smooth Optimization via Double Optimism
Francisco Patitucci, Ruichen Jiang, Aryan Mokhtari
https://arxiv.org/abs/2510.03167 https://…

Improving Online-to-Nonconvex Conversion for Smooth Optimization via Double Optimism
A recent breakthrough in nonconvex optimization is the online-to-nonconvex conversion framework of \cite{cutkosky2023optimal}, which reformulates the task of finding an $\varepsilon$-first-order stationary point as an online learning problem. When both the gradient and the Hessian are Lipschitz continuous, instantiating this framework with two different online learners achieves a complexity of $\mathcal{O}(\varepsilon^{-1.75}\log(1/\varepsilon))$ in the deterministic case and a complexity of $\…

On a class of involutive Yang-Baxter groups
H. Meng, A. Ballester-Bolinches, P. Jim\'enez-Seral
https://arxiv.org/abs/2509.06521 https://arxiv.org/pdf/…

On a class of involutive Yang-Baxter groups
A group is called an involutive Yang-Baxter group (IYB-group) if it is isomorphic to the permutation group of an involutive, non-degenerate set-theoretic solution of the Yang-Baxter equation. This paper investigates finite soluble groups whose Sylow subgroups have nilpotency class at most two, addressing Cedó and Okniński's question~\cite{CedoOkninski2025} of whether such groups are IYB-groups. We establish that a finite soluble group with Sylow subgroups of class at most two is an IYB-group …

Positive Energy Theorems for Spin Initial Data with Charge
Simon Raulot
https://arxiv.org/abs/2509.05244 https://arxiv.org/pdf/2509.05244

Positive Energy Theorems for Spin Initial Data with Charge
We establish positive energy theorems for complete spin initial data sets with charge in dimensions $n \geq 4$, under a dominant energy condition and assuming the existence of at least one asymptotically flat end. Our results, formulated in the purely electric case, extend the classical theorems of Gibbons--Hull~\cite{GibbonsHull}, Gibbons--Hawking--Horowitz--Perry~\cite{GibbonsHawkingHorowitzPerry}, and Bartnik--Chruściel~\cite{BartnikChrusciel}.

Infinite-time Mean Field FBSDEs and Viscosity Solutions to Elliptic Master Equations
Zeyu Yang, Yongsheng Song
https://arxiv.org/abs/2510.03707 https://arx…

Infinite-time Mean Field FBSDEs and Viscosity Solutions to Elliptic Master Equations
This paper presents a further investigation of the properties of infinite-time mean field FBSDEs and elliptic master equations, which were introduced in \cite{yang2025discounted} as mathematical tools for solving discounted infinite-time mean field games. By establishing the continuous dependence of the FBSDE solutions on their initial values, we prove the flow property of the mean field FBSDEs. Furthermore, we prove that, at the Nash equilibrium, the value function of the representative player…

Spectrum and local weak convergence of sparse random uniform hypergraphs
Kartick Adhikari, Samiron Parui
https://arxiv.org/abs/2509.05102 https://arxiv.org…

Spectrum and local weak convergence of sparse random uniform hypergraphs
The notion of local weak convergence, also known as Benjamini--Schramm convergence, was introduced by Benjamini and Schramm \cite{Benjamini-Schramm-convergence}. It is known that the local weak limit of sparse Erd\H os--Rényi graphs is the Galton--Watson measure with Poisson offspring almost surely. Recently, Adhikari, Kumar and Saha \cite{adhikari2023spectrumrandomsimplicialcomplexes} showed that the local weak limit of the line graph of sparse Linial--Meshulam complexes is the $d$-block Galt…

There may be an $n$-entangled set but no $n 1$-entangled sets
Jorge Antonio Cruz Chapital
https://arxiv.org/abs/2509.01029 https://arxiv.org/pdf/2509.01029…

There may be an $n$-entangled set but no $n+1$-entangled sets
In this paper we show that for every $2\leq n\in \mathbb{N}$, the statement "there is an $n$-entangled set, but there are no $n+1$-entangled sets" is consistent. We also prove some theorems which improve our understanding of entangled sets in relation to construction schemes: (1) The axiom FCA$^Δ$ introduced in \cite{finitizationclubch} implies the existence of $n$-entangled sets which are not $n+1$-entangled. (2) $\mathfrak{m}_\mathcal{F}>ω_1$ implies the non-existence of entangled sets. Thu…

Hallucinating Flows for Optimal Mechanisms
Marios Mertzanidis, Athina Terzoglou
https://arxiv.org/abs/2510.05474 https://arxiv.org/pdf/2510.05474

Hallucinating Flows for Optimal Mechanisms
Myerson's seminal characterization of the revenue-optimal auction for a single item \cite{myerson1981optimal} remains a cornerstone of mechanism design. However, generalizing this framework to multi-item settings has proven exceptionally challenging. Even under restrictive assumptions, closed-form characterizations of optimal mechanisms are rare and are largely confined to the single-agent case \cite{pavlov2011optimal,hart2017approximate, daskalakis2018transport, GIANNAKOPOULOS2018432}, departi…

Two-flow Feedback Multi-scale Progressive Generative Adversarial Network
Sun Weikai, Song Shijie, Chi Wenjie
https://arxiv.org/abs/2508.16089 https://arxiv…

Two-flow Feedback Multi-scale Progressive Generative Adversarial Network
Although diffusion model has made good progress in the field of image generation, GAN\cite{huang2023adaptive} still has a large development space due to its unique advantages, such as WGAN\cite{liu2021comparing}, SSGAN\cite{guibas2021adaptive} \cite{zhang2022vsa} \cite{zhou2024adapt} and so on. In this paper, we propose a novel two-flow feedback multi-scale progressive generative adversarial network (MSPG-SEN) for GAN models. This paper has four contributions: 1) : We propose a two-flow feedbac…

A Galactic Perspective on the (Unremarkable) Relative Refractory Depletion Observed in the Sun
Rayna Rampalli, James W. Johnson, Melissa K. Ness, Graham H. Edwards, Elisabeth R. Newton, Emily J. Griffith, Megan Bedell, Kaile Wang
https://arxiv.org/abs/2509.03577

A Galactic Perspective on the (Unremarkable) Relative Refractory Depletion Observed in the Sun
Over the last two decades, the Sun has been observed to be depleted in refractory elements as a function of elemental condensation temperature (\tcond) relative to $\sim 80\%$ of its counterparts. We assess the impact of Galactic chemical evolution (GCE) on refractory element--\tcond\ trends for 109,500 unique solar analogs from the GALAH, APOGEE, Gaia RVS, and \cite{bedell18} surveys. We find that a star's \feh\ and \alphafe\ are indicators of its \tcond\ slope (\rsq\ = $15 \pm 5$, $23 \pm 10\…

Obstruction to Equivariant Ribbon Concordance
Siavash Jafarizadeh
https://arxiv.org/abs/2509.00671 https://arxiv.org/pdf/2509.00671

Obstruction to Equivariant Ribbon Concordance
A periodic link, is link in $S^3$ with action of $\mathbb{Z}_p$ by rotation with $2π/p$ around a fixed unknot $U$. The equivariant Khovanov homology of periodic links has been studied in \cite{BP17}. We prove that the equivariant Khovanov homology for periodic links is functorial under equivariant cobordisms. Furthere more, we show that equivariant ribbon concordances induce a split injection on equivariant Khovanov homology.

Reminder: BHL is a rape apologist who has said that the hijab is an invitation to rape.
That's why we don't cite X. It is entirely made up of the worst people in the world. If you still use a functioning X account, you are *ONE OF THEM*, no matter how good your intentions. https://

Michael Hobbes (@michaelhobbes.bsky.social)
The way all of these people convinced themselves that Mamdani is antisemitic is a subject far more worthy of media examination than any of the ‘groupthink on campuses!’ thinkpieces we’ve been subjected to

Note on Iitaka Conjecture $C_{n,m}$
Houari Benammar Ammar
https://arxiv.org/abs/2510.06412 https://arxiv.org/pdf/2510.06412

Note on Iitaka Conjecture $C_{n,m}$
Let \( f: X \to Y \) be an algebraic fiber space, where \( X \) and \( Y \) are smooth projective varieties of dimensions \( n \) and \( m \), respectively. In \cite{Caopaun}, Cao and Păun proved \( C_{n,m} \) when \( Y \) has maximal Albanese dimension. In this short note, we prove \( C_{n,m} \) in the cases where the Albanese dimension $α(Y)$ of \( Y \) satisfies \( α(Y) = m-1 \) or \( α(Y) = m-2 \).

Gravitational Black Hole Shadow Spectroscopy
Reggie C. Pantig, Ali \"Ovg\"un
https://arxiv.org/abs/2509.05594 https://arxiv.org/pdf/2509.05594

Gravitational Black Hole Shadow Spectroscopy
In this work, we develop a generalized perturbative framework for gravitational shadows in static, spherically symmetric spacetimes. Building upon the recent two-parameter perturbative framework of Kobialko et al. \cite{Kobialko:2024zhc}, this work extends the expansion in particle energy and metric deviation to encompass arbitrary, simultaneous deformations of all metric functions. By relaxing the common restriction of a fixed area radius ($β(r) = r^2$), our formalism applies to a significant…

rho-Meson Nucleon Scattering Length from CLAS Threshold Photoproduction Measurements
Igor I. Strakovsky (GWU), Evgeny L. Isupov (MGU), Victor Mokeev (Jlab), Axel Schmidt (GWU)
https://arxiv.org/abs/2509.04672

rho-Meson Nucleon Scattering Length from CLAS Threshold Photoproduction Measurements
Extending our study of the vector meson-nucleon scattering lengths (summary is given in Ref.~\cite{Strakovsky:2021vyk}), we are focusing on the $ρ$-meson case using recent CLAS threshold data for the reaction $γp \to ρp$ within the meson-baryon reaction model~\cite{CLAS:2018drk}. The total $σ_t(γp\to ρp)$ and $σ_t(γp\to ωp)$ cross sections are close below the momentum of the vector meson in CM $q = 0.2~\mathrm{GeV/c}$. Then the $ρp$ photoproduction cross section grows rapidly. Our res…

As drug deaths hit a 5-year low, Trump continues to cite fentanyl as major threat (Brian Mann/NPR)
https://www.npr.org/2025/08/30/nx-s1-5522046/drugs-deaths-trump-fentanyl
http://www.memeorandum.com/250830/p34#a250830p34

Certain Inequalities for the generalized polar derivative of a polynomial
N. A. Rathe, D. R. Bhat, I. Dar
https://arxiv.org/abs/2510.02775 https://arxiv.or…

Certain Inequalities for the generalized polar derivative of a polynomial
Recently Rather et al. \cite{NT} considered the generalized derivative and the generalized polar derivative and studied the relative position of zeros of generalized derivative and generalized polar derivative with respect to the zeros of polynomial.\\ \indent In this paper, we establish some inequalities that estimate the maximum modulus of generalized derivative and the generalized polar derivative of the polynomial $P(z)$, which is also the extension of recently known results.

On catastrophicity of convolutional codes and their encoders over $\Z_{p^r}$
Mohammed El Oued
https://arxiv.org/abs/2509.06670 https://arxiv.org/pdf/2509.0…

On catastrophicity of convolutional codes and their encoders over $\Z_{p^r}$
This paper investigates the existence of minimal $p$-encoders for convolutional codes over $\mathbb{Z}_{p^r}$, where $p$ is a prime. This addresses a conjecture from \cite{k}, which posits that every such code admits a minimal $p$-encoder, implying that all convolutional codes over $\mathbb{Z}_{p^r}$ are noncatastrophic when input sequences are restricted to coefficients in $\{0, \dots, p-1\}$. Our contributions include the introduction of a new polynomial invariant that characterizes free code…

Positive Univariate Polynomials: SOS certificates, algorithms, bit complexity, and T-systems
Mat\'ias Bender (TROPICAL), Philipp Di Dio (OURAGAN), Elias Tsigaridas (OURAGAN)
https://arxiv.org/abs/2510.01701

Positive Univariate Polynomials: SOS certificates, algorithms, bit complexity, and T-systems
We study certificates of positivity for univariate polynomials with rational coefficients that are positive over (an interval of) $\mathbb{R}$, given as weighted sums of squares (SOS) of rational polynomials. We build on the algorithm of Chevillard, Harrison, Joldes, and Lauter~\cite{chml-usos-alg-11}, which we call \usos. For a polynomial of degree~$d$ and coefficient bitsize~$τ$, we show that a rational weighted SOS representation can be computed in $\widetilde{\mathcal{O}}_B(d^3 + d^2 τ)$ …

Long time evolution of a pair of 2D viscous point vortices
Ping Zhang, Yibin Zhang
https://arxiv.org/abs/2510.03991 https://arxiv.org/pdf/2510.03991…

Long time evolution of a pair of 2D viscous point vortices
This paper studies the long-time evolution of two point vortices under the 2D Navier-Stokes tokes equations. Starting from initial data given by a pair of Dirac measures, we derive an asymptotic expansion for the vorticity over time scales significantly longer than the advection time, yet shorter than the diffusion time. Building on previous works \cite{GS24-1, DG24}, we construct suitable approximate solutions $Ω_a$ and employ Arnold's method to define a nonlinear energy functional $E_\ve[\om…

Pattern formation in a coupled driven diffusive system
G. E. Freire Oliveira, R. Dickman, M. O. Lavrentovich, R. K. P. Zia
https://arxiv.org/abs/2509.00220 https://

Pattern formation in a coupled driven diffusive system
We investigate pattern formation in a driven mixture of two repulsive particles by introducing a Field-based Lattice Model (FLM), a hybrid model that combines aspects of the driven Widom-Rowlison lattice gas (DWRLG) and its statistical field theory \cite{DWRLG1,DWRLG2}. We find that the FLM effectively captures the bulk behavior of the DWRLG in both low- and high-density phases, suggesting that phase transitions in these models may share a universality class. Under the effect of the drive, the …

A note on spectral Monte-Carlo method for fractional Poisson equation on high-dimensional ball
Lisen Ding, Mingyi Wang, Dongling Wang
https://arxiv.org/abs/2510.04427 https://…

A note on spectral Monte-Carlo method for fractional Poisson equation on high-dimensional ball
Recently, a class of efficient spectral Monte-Carlo methods was developed in \cite{Feng2025ExponentiallyAS} for solving fractional Poisson equations. These methods fully consider the low regularity of the solution near boundaries and leverage the efficiency of walk-on-spheres algorithms, achieving spectral accuracy. However, the underlying formulation is essentially one-dimensional. In this work, we extend this approach to radial solutions in general high-dimensional balls. This is accomplished…

TRUE: A Reproducible Framework for LLM-Driven Relevance Judgment in Information Retrieval
Mouly Dewan, Jiqun Liu, Chirag Shah
https://arxiv.org/abs/2509.25602 https://

TRUE: A Reproducible Framework for LLM-Driven Relevance Judgment in Information Retrieval
LLM-based relevance judgment generation has become a crucial approach in advancing evaluation methodologies in Information Retrieval (IR). It has progressed significantly, often showing high correlation with human judgments as reflected in LLMJudge leaderboards \cite{rahmani2025judging}. However, existing methods for relevance judgments, rely heavily on sensitive prompting strategies, lacking standardized workflows for generating reliable labels. To fill this gap, we reintroduce our method, \te…

Typed Topological Structures Of Datasets
Wanjun Hu
https://arxiv.org/abs/2508.14008 https://arxiv.org/pdf/2508.14008

Typed Topological Structures Of Datasets
A datatset $X$ on $R^2$ is a finite topological space. Current research of a dataset focuses on statistical methods and the algebraic topological method \cite{carlsson}. In \cite{hu}, the concept of typed topological space was introduced and showed to have the potential for studying finite topological spaces, such as a dataset. It is a new method from the general topology perspective. A typed topological space is a topological space whose open sets are assigned types. Topological concepts and m…

On a class of almost Hermitian 4-manifolds
Ethan Addison, Tedi Draghici, Mehdi Lejmi
https://arxiv.org/abs/2510.05358 https://arxiv.org/pdf/2510.05358

On a class of almost Hermitian 4-manifolds
Using an integral identity proved by Sekigawa \cite{Sek87} on compact almost Hermitian 4-manifolds, we naturally obtain a global characterization of the class $\mathcal{AH}_1$ of almost Hermitian 4-manifolds satisfying the first Gray curvature condition from apparently weaker conditions. Then we take steps towards a classification of almost Hermitian 4-manifolds of class $\mathcal{AH}_1$, including proving a uniqueness result on 4-dimensional Lie algebras.

Further analysis of Peeling Sequences
D\'aniel G\'abor Simon
https://arxiv.org/abs/2510.03832 https://arxiv.org/pdf/2510.03832

Further analysis of Peeling Sequences
Let $P\subset \mathbf{R}^2$ be a set of $n$ points in general position. A peeling sequence of $P$ is a list of its points, such that if we remove the points from $P$ in that order, we always remove the next point from the convex hull of the remainder of $P$. Using the methodology of Dumitrescu and Tóth \cite{Dumitrescu}, with more careful analysis, we improve the upper bound on the minimum number of peeling sequences for an $n$ point set in the plane from $\frac{12.29^n}{100}$ to $\frac{9.78^n…

Criminalizing poverty is cruel and inhumane 😡
1. OPD should never ever cite or arrest someone just for being homeless
2. Before evicting someone from their shelter of last resort, the city should provide an option of a safe place to go, and enough time to move there with their belongings
http…

dblp_cite: DBLP citations (2014)
Citations among papers contained in the DBLP computer science bibliography. If a paper i cites a paper j also in this data set, then a directed edge connects i to j. (Papers not in the data set are excluded.) Self-loops may be present. This snapshot from May 2014.
This network has 12590 nodes and 49759 edges.
Tags: Informational, Citation, Unweighted

Technical Developments of DA on $\mathbb{T}^3$
Hangyue Zhang
https://arxiv.org/abs/2509.04634 https://arxiv.org/pdf/2509.04634

Technical Developments of DA on $\mathbb{T}^3$
We constructed a DA on $\mathbb{T}^3$, which complements the work of Gan, Li, Viana, and Yang (\cite{GanLiVianaYang2021}) by providing an example of a $C^\infty$-diffeomorphism with partial volume expansion, where $\dim(E^{cs}) = 2$. In contrast to their work, in \cite{GanLiVianaYang2021}, they provided an example of a non-invertible embedding in the case $\dim(E^{cs}) = 2$. The inverse map of the DA we constructed has a mostly expanding center (\cite{AnderssonVasquez2018}). Using a similar app…

Scattering norm estimate near the threshold for the energy-subcrtical NLS
Zuyu Ma
https://arxiv.org/abs/2509.01505 https://arxiv.org/pdf/2509.01505

Scattering norm estimate near the threshold for the energy-subcrtical NLS
We consider the focusing energy-subcritical Schrödinger equations. In earlier works by Holmer-Roudenko \cite{holmer}, Duyckaerts-Holmer-Roudenko \cite{duyckaerts2}, Fang-Xie-Cazenave \cite{fang}, Guevara \cite{guevara} and later by Dodson-Murphy \cite{dodson1,dodson2} and Arora-Dodson-Murphy \cite{arora}, they proved that scattering is the only dynamical behavior if the $H^1$ initial data satisfies $M(u_0)^{1-s_c}E(u_0)^{s_c}

Fluid Model of Schrodinger equation and derivation of the quantum potential
Lachezar Simeonov
https://arxiv.org/abs/2509.02868 https://arxiv.org/pdf/2509.0…

Fluid Model of Schrodinger equation and derivation of the quantum potential
It is quite familiar that Schrödinger equation can be rewritten in terms of fluid-type equations, called Madelung equations. However one term in these fluid equations, the so called `quantum potential` is quite complicated. Indeed, Dürr complains that the quantum potential is `neither simple nor natural` \cite{Durr1996}. Thus it may appear a hopeless task to imagine a fluid with such properties that would lead to the Madelung equations, and more specifically, to the quantum potential. We prov…

Embedability of right-angled Artin groups into hierarchically hyperbolic groups
Sangrok Oh, Jihoon Park
https://arxiv.org/abs/2509.02454 https://arxiv.org/…

Embedability of right-angled Artin groups into hierarchically hyperbolic groups
For a hierarchically hyperbolic group, we provide sufficient conditions under which suitable powers of a finite collection of elements generate a right-angled Artin subgroup. Under additional hypotheses, we further show that this subgroup can be promoted to be quasi-isometrically embedded. Our framework recovers and unifies earlier results, including those of Clay-Leininger-Mangahas \cite{CLM12} and Runnels \cite{Run21} for mapping class groups, and of Kim-Koberda \cite{KK13} for right-angled A…

Estimate of the exit time for the Long Range Ising model on random regular graphs
Vanessa Jacquier
https://arxiv.org/abs/2509.02188 https://arxiv.org/pdf/2…

Estimate of the exit time for the Long Range Ising model on random regular graphs
We investigate the metastable behavior of the long-range Ising model on random regular graphs under Glauber dynamics at low-temperature. We estimate the energy barrier and exit time from the metastable state using a nontrivial path-wise approach that explicitly accounts for the spatial decay of the interactions and the structural properties of the graph, such as the Cheeger constant and known estimates of the diameter. Our results generalize those of Dommers \cite{dommers2017metastability} for …

Exponentially slow Mixing arising from Entropic Repulsion in $p$-SOS model
Seokun Choi
https://arxiv.org/abs/2509.23120 https://arxiv.org/pdf/2509.23120

Exponentially slow Mixing arising from Entropic Repulsion in $p$-SOS model
We investigate the Glauber dynamics of the generalized (2+1)-dimensional $p$-SOS model under a hard floor constraint. This setting induces entropic repulsion: the integer-valued interface height is forced to remain above the wall and consequently rises to a typical height $H(p,L)$ that depends on both the parameter $p$ and the system size $L$. In the classical SOS model ($p=1$), \cite{caputo2016scaling, caputo2014dynamics} derived an exponential lower bound for the mixing time, demonstrating th…

On the non-existence of certain real algebraic surfaces
Miguel Angel Guadarrama-Garc\'ia
https://arxiv.org/abs/2510.04025 https://arxiv.org/pdf/2510.04…

On the non-existence of certain real algebraic surfaces
In this note is given an algebraic solution to the problem 1997-6 proposed by D. A. Panov in the list of Arnold's problems \cite{Arnld2b}. In particular, it is shown that there does not exist a real polynomial function $f$ on the real euclidean plane, whose Hessian is positive in an open set bordered by smooth connected curve, and the parabolic curve of the graph of $f$ has only one special parabolic point with index $+1$. Besides, we find conditions on $f$ so that its graph has more special pa…

Shadow and Quasi-Normal Modes of Schwarzschild-Hernquist Black Hole
Xing-Hui Feng, Guang-Yu Zhang
https://arxiv.org/abs/2509.04001 https://arxiv.org/pdf/25…

Shadow and Quasi-Normal Modes of Schwarzschild-Hernquist Black Hole
In this paper we study the shadow and quasi-normal modes (QNMs) of a black hole (BH) surrounded by a dark matter halo with Hernquist-type density distribution, which was reported in Ref. \cite{Cardoso:2021wlq}. In astrophysical scenarios, we find that the shadow radius enlarges as the compactness of halo increases. Therefore, we obtain an upper bound for the compactness ${\cal C}\le0.092$ with the Event Horizon Telescope (EHT) observations. We calculate axial gravitational QNMs of the galactic …

Regularity and existence for a mixed local-nonlocal parabolic equation with variable singularities and measure data
Stuti Das
https://arxiv.org/abs/2509.04797 https://

Regularity and existence for a mixed local-nonlocal parabolic equation with variable singularities and measure data
This article proves the existence, non-existence, regularity and asymptotic behavior of weak solutions for a class of mixed local-nonlocal parabolic problems involving singular nonlinearities and measure data extending the works of \cite{sanjitgarain,lazermc}. A central contribution of this work is the inclusion of a variable singular exponent. We examine both the purely singular and perturbed singular cases in the context of measure-valued data, where the source terms can simultaneously take t…

Simultaneously bounded and dense orbits for commuting Cartan actions
Dmitry Kleinbock, Chengyang Wu
https://arxiv.org/abs/2509.05272 https://arxiv.org/pdf/…

Simultaneously bounded and dense orbits for commuting Cartan actions
In this paper we prove that the set of points that have bounded orbits under one regular diagonal flow and dense orbits under the other diagonal flow commuting with the first one has full Hausdorff dimension in $X_3=\mathrm{SL}_3(\mathbb{R})/\mathrm{SL}_3(\mathbb{Z})$. To explain its application towards the Uniform Littlewood's Conjecture proposed in \cite{BFK25}, we introduce the concept of ``fiberwise nondivergence'' for the action of a cone inside the full diagonal subgroup. Then our main …

Structural properties and characterizations of $\mathbf{W}_{p}$ class
Do Trong Hoang, Vadim E. Levit, Eugen Mandrescu
https://arxiv.org/abs/2509.03847 https://

Structural properties and characterizations of $\mathbf{W}_{p}$ class
We establish new characterizations of graphs belonging to the $\mathbf{W}_p$ class. In addition, we characterize locally triangle-free $α$-critical graphs in this class. As a consequence, our results yield a partial answer to a question raised by Plummer \cite{Plum93} in the case $p=2$.

dblp_cite: DBLP citations (2014)
Citations among papers contained in the DBLP computer science bibliography. If a paper i cites a paper j also in this data set, then a directed edge connects i to j. (Papers not in the data set are excluded.) Self-loops may be present. This snapshot from May 2014.
This network has 12590 nodes and 49759 edges.
Tags: Informational, Citation, Unweighted

A proof of the Brian\c{c}on-Iarrobino Conjecture in three dimensions
Owen Mackenzie, Fatemeh Rezaee
https://arxiv.org/abs/2508.21717 https://arxiv.org/pdf/…

A proof of the Briançon-Iarrobino Conjecture in three dimensions
We resolve the 1978 Briançon-Iarrobino Conjecture regarding the maximum singularity of $\mathcal{H}=\mathrm{Hilb}^{l}(\mathbb{A}^3)$, where $l$ is a tetrahedral number, by refining the work of Ramkumar-Sammartano in \cite{Ramkumar-Sammartano}. This also immediately implies the conjectural necessary condition for a point of $\mathcal{H}$ to have the maximal singularity, suggested by the second-named author in \cite{Rezaee-23-Conjectures}. In a sequel to this article, \cite{Mackenzie-Rezaee2}, w…

Entanglement entropy between tangent balls in CFT$_D$
Jiankun Li, Li Song
https://arxiv.org/abs/2510.01655 https://arxiv.org/pdf/2510.01655

Entanglement entropy between tangent balls in CFT$_D$
We apply the universal method developed in \cite{Jiang:2025jnk} to compute the entanglement entropy between two tangent balls in CFT$_D$. When taking the radius of one ball to infinity, it gives the entanglement entropy between a ball and its tangent half plane. In two-dimensional case, this configuration is equivalent to the entanglement in boundary conformal field theory (BCFT) between the negative half-axis and an interval ending on the boundary.

Exact rate of convergence for the empirical measure of a subordinated process in $p$-Wasserstein distance
Ren\'e L. Schilling, Bingyao Wu
https://arxiv.org/abs/2509.26188 ht…

Exact rate of convergence for the empirical measure of a subordinated process in $p$-Wasserstein distance
We establish exact rates of convergence in the $p$-Wasserstein distance for the empirical measure of a class of non-symmetric jump processes, which are subordinated to a diffusion process on a compact Riemannian manifold. For the quadratic Wasserstein distance, we determine the renormalization limit. We extend the main results of \cite{WW} and \cite{WWZ}. Our method uses two key elements: a Bernstein-type inequality for the subordinated process and the PDE approach established in \cite{AMB}

Analysis of quantities determining the critical inverse temperature in the annealed Potts model with Pareto vertex weights
A. J. E. M. Janssen
https://arxiv.org/abs/2508.21409 h…

Analysis of quantities determining the critical inverse temperature in the annealed Potts model with Pareto vertex weights
We consider in this work the crucial quantity $t_c$ that determines the critical inverse temperature $β_c$ in the $q$-state Potts model on sparse rank-1 random graphs where the vertices are equipped with a Pareto weight density $(τ-1)\,w^{-τ}\,{\cal X}_{[1,\infty)}(w)$. It is shown in \cite{ref1} that this $t_c$ is the unique positive zero of a function ${\cal K}$ that is obtained by an appropriate combination of the stationarity condition and the criticality condition for the case the exter…

On the Characteristic polynomial of ABS Matrix and ABS-Energy of Some Graphs
Sharad Barde, Ganesh Mundhe, Mayur Kshirsagar, A. N. Bhavale
https://arxiv.org/abs/2509.02155 https:…

On the Characteristic polynomial of ABS Matrix and ABS-Energy of Some Graphs
For a graph $G$ with $n$ vertices and $m$ edges, Lin \textit{et al.} \cite{Lin} define the \textit{atom--bond sum-connectivity} ($ABS$) matrix of $G$ such that the $(i,j)^{\text{th}}$ entry is \[ \sqrt{1 - \frac{2}{d_i + d_j}} \] if vertex $v_i$ is adjacent to the vertex $v_j$, and $0$ otherwise. In this article, we determine the characteristic polynomial of the $ABS$ matrix for certain specific classes of graphs. Furthermore, we compute the $ABS$ eigenvalues and the $ABS$ energy for these clas…

Asymptotic Stability of multi-solitons for $1$d Supercritical NLS
Gong Chen, Abdon Moutinho
https://arxiv.org/abs/2509.03637 https://arxiv.org/pdf/2509.036…

Asymptotic Stability of multi-solitons for $1$d Supercritical NLS
Consider the one-dimensional $L^2$ supercritical nonlinear Schrödinger equation \begin{equation} i\partial_{t}ψ+\partial^{2}_{x}ψ+\vert ψ\vert^{2k}ψ=0 \text{, $k>2$}. \end{equation} It is well known that solitary waves for this equation are unstable. In the pioneering work of Krieger and Schlag \cite{KriegerSchlag}, the asymptotic stability of a solitary wave was established on a codimension-one center-stable manifold. In the present paper, using linear estimates developed for one-dimensio…

dblp_cite: DBLP citations (2014)
Citations among papers contained in the DBLP computer science bibliography. If a paper i cites a paper j also in this data set, then a directed edge connects i to j. (Papers not in the data set are excluded.) Self-loops may be present. This snapshot from May 2014.
This network has 12590 nodes and 49759 edges.
Tags: Informational, Citation, Unweighted

An iterated $I$-projection procedure for solving the generalized minimum information checkerboard copula problem
Ivan Kojadinovic, Tommaso Martini
https://arxiv.org/abs/2509.02829

An iterated $I$-projection procedure for solving the generalized minimum information checkerboard copula problem
The minimum information copula principle initially suggested in \cite{MeeBed97} is a maximum entropy-like approach for finding the least informative copula, if it exists, that satisfies a certain number of expectation constraints specified either from domain knowledge or the available data. We first propose a generalization of this principle allowing the inclusion of additional constraints fixing certain higher-order margins of the copula. We next show that the associated optimization problem h…

On correlation numbers $V_{0,4}$ and $V_{1,1}$ in Virasoro Minimal String Theory
Dmitry Khromov, Alexey Litvinov
https://arxiv.org/abs/2509.25960 https://a…

On correlation numbers $V_{0,4}$ and $V_{1,1}$ in Virasoro Minimal String Theory
We study correlation numbers in Virasoro minimal string \cite{Collier:2023cyw}. Using analytic properties of correlation functions in spacelike and timelike Liouville theories, we verify exact expressions for correlation numbers for the four punctured sphere and the once punctured torus conjectured in \cite{Collier:2023cyw}.

Characteristic quasi-polynomials of deletions of Shi arrangements of type C and type D
Akihiro Higashitani, Masato Konoike, Norihiro Nakashima, Satoshi Ono
https://arxiv.org/abs/2509.02043

Characteristic quasi-polynomials of deletions of Shi arrangements of type C and type D
Characteristic quasi-polynomials enumerate the number of points in the complement of hyperplane arrangements modulo positive integers. In this paper, we compute the characteristic quasi-polynomials of the restrictions of the Shi arrangements of type C and type D by one given hyperplane, respectively. The case of type C is established by extending the method developed in our previous work on type B (\cite{HN2024}), while the case of type D is deduced through a direct connection with the results …

The $L_p$ chord Minkowski problem for super-critical exponent
Shibing Chen, Qi-Rui Li, Yuanyuan Li
https://arxiv.org/abs/2510.01084 https://arxiv.org/pdf/2…

The $L_p$ chord Minkowski problem for super-critical exponent
The $L_p$ chord Minkowski problem was recently introduced by Lutwak, Xi, Yang and Zhang, which seeks to determine the necessary and sufficient conditions for a given finite Borel measure such that it is the $L_p$ chord measure of a convex body. In this paper, we solve the $L_p$ chord Minkowski problem for the super-critical exponents by combining a nonlocal Gauss curvature flow introduced in \cite{HHLW exi} and a topological argument developed in \cite{GLW2022}. Notably, we provide a simplified…

A $q$-analogue of distance matrix of bi-block graphs
Joyentanuj Das
https://arxiv.org/abs/2509.26060 https://arxiv.org/pdf/2509.26060

A $q$-analogue of distance matrix of bi-block graphs
A $q$-analogue of the distance matrix, referred to as the \emph{$q$-distance matrix}, is obtained from the distance matrix by replacing each nonzero entry $α$ with the sum $1+q+\cdots+q^{α-1}$. This notion was introduced independently by Bapat, Lal, and Pati~\cite{Ba-Lal-Pati}, and by Yan and Yeh~\cite{Yan}. A connected graph is called a \emph{bi-block graph} if each of its blocks is a complete bipartite graph. In this paper, we derive explicit formulas for the determinant and the inverse of …

Weak irreducibility of stochastic delay differential equation driven by pure jump noise
Hao Yang, Jian Wang
https://arxiv.org/abs/2509.01519 https://arxiv.…

Weak irreducibility of stochastic delay differential equation driven by pure jump noise
In this paper, we study the weak irreducibility of stochastic delay differential equations(SDDEs) driven by pure jump noise. The main contribution of this paper is to provide a concise proof of weak irreducibility, releasing condition (A1-3) in Assumption 2.1 from the literature \cite{WYZZ1}. As an application, we derive the weak irreducibility of SDDEs with weakly dissipative coefficients. An important novelty of this paper is to allow the driving noises to be degenerate. This closes the gap o…

On the local existence for the characteristic initial value problem for the Einstein-Dirac system
Peng Zhao, Xiaoning Wu
https://arxiv.org/abs/2509.04167 https://

On the local existence for the characteristic initial value problem for the Einstein-Dirac system
In this paper, we investigate the characteristic initial value problem for the Einstein-Dirac system, a model governing the interaction between gravity and spin-$1/2$ fields. We apply Luk's strategy \cite{Luk12} and prove a semi-global existence result for this coupled Einstein-Dirac system without imposing symmetry conditions. More precisely, we construct smooth solutions in a rectangular region to the future of two intersecting null hypersurfaces, on which characteristic initial data are spec…

On Rapid mixing for random walks on nilmanifolds
Dmitry Dolgopyat, Spencer Durham, Minsung Kim
https://arxiv.org/abs/2510.00398 https://arxiv.org/pdf/2510.…

On Rapid mixing for random walks on nilmanifolds
We prove rapid mixing for almost all random walks generated by $m$ translations on an arbitrary nilmanifold under mild assumptions on the size of $m$. For several classical classes of nilmanifolds, we show $m=2$ suffices. This provides a partial answer to the question raised in \cite{D02} about the prevalence of rapid mixing for random walks on homogeneous spaces.

Limiting one-point fluctuations of the geodesic in the directed landscape near the endpoints when the geodesic length goes to infinity
Zhipeng Liu, Chen Ma, Tejaswi Tripathi
https://arxiv.org/abs/2509.02524

Limiting one-point fluctuations of the geodesic in the directed landscape near the endpoints when the geodesic length goes to infinity
We consider the limiting fluctuations of the geodesic in the directed landscape, conditioning on its length going to infinity. It was shown in \cite{Liu22b,Ganguly-Hegde-Zhang23} that when the directed landscape $\mathcal{L}(0,0;0,1) = L$ becomes large, the geodesic from $(0,0)$ to $(0,1)$ lies in a strip of size $O(L^{-1/4})$ and behaves like a Brownian bridge if we zoom in the strip by a factor of $L^{1/4}$. Moreover, the length along the geodesic with respect to the directed landscape fluctu…

Finite Entropy Implies Finite Dimension in Quantum Gravity
T. Banks
https://arxiv.org/abs/2509.17856 https://arxiv.org/pdf/2509.17856

Finite Entropy Implies Finite Dimension in Quantum Gravity
Quantum Field Theory (QFT) introduced us to the notion that a causal diamond in space-time corresponded to a subsystem of a quantum mechanical system defined on the global space-time. Work by Jacobson\cite{ted95}, Fischler and Susskind\cite{fs} and particularly Bousso\cite{bousso} suggested that in the quantum theory of gravity this subsystem should have a density matrix of finite entropy. These authors formalized older intuitive arguments based on black hole physics. Although mathematically, T…

Removable singularities and Harnack inequality for nonlinear H\"ormander degenerate subelliptic equations
Jiayi Qiang, Yawei Wei, Mengnan Zhang
https://arxiv.org/abs/2510.00755

Removable singularities and Harnack inequality for nonlinear Hörmander degenerate subelliptic equations
This paper concerns the quasilinear subelliptic function derived from Hörmander vector fields. Based on the significant work of J. Serrin in \cite{SER}, M. Meier in \cite{MM1}, and L. Capogna, D. Danielli and N. Garofalo in \cite{LC1,LDN}, we obtain the removable singularities and Harnack inequality by a sharp Sobolev inequalities under weaker integrability of coefficients in structure conditions. Furthermore, we get the Hölder continuity when domain $Ω$ is equiregular.

Irreducible Combinatorially Symmetric Sign Patterns Requiring a Unique Inertia
Partha Rana, Sriparna Bandopadhyay
https://arxiv.org/abs/2508.21509 https://…

Irreducible Combinatorially Symmetric Sign Patterns Requiring a Unique Inertia
A sign pattern is a matrix whose entries belong to the set $\{+,-,0\}$. A sign pattern requires a unique inertia if every real matrix in its qualitative class has the same inertia. Symmetric tree sign patterns requiring a unique inertia has been studied extensively in \cite{2001, 2001a, 2018}. Necessary and sufficient conditions in terms of the symmetric minimal and maximal rank, as well as conditions depending on the position and sign of the loops in the underlying graph of such patterns has b…

Hyperbolic Keller-Segel equations with weak dissipation in Besov spaces: Global well-posedness and blow-up criteria
Bo Bi, Lei Zhang
https://arxiv.org/abs/2509.03125 https://

Hyperbolic Keller-Segel equations with weak dissipation in Besov spaces: Global well-posedness and blow-up criteria
This paper considers the Cauchy problem for weakly dissipative hyperbolic Keller-Segel (HKS) equations in both non-critical and critical inhomogeneous Besov spaces. We first show that the problem admits a unique global strong solution if either the dissipation parameter $λ$ is sufficiently large or the initial data norm is sufficiently small. This provides a partial affirmative answer to the open question of global well-posedness in Besov spaces left by \cite{Zhang2022,Zhou2021,Meng2024}. An i…