Tootfinder

Multi-Copy Security in Unclonable Cryptography
Alper \c{C}akan, Vipul Goyal, Fuyuki Kitagawa, Ryo Nishimaki, Takashi Yamakawa
https://arxiv.org/abs/2510.12626 https://

Multi-Copy Security in Unclonable Cryptography
Unclonable cryptography leverages the quantum no-cloning principle to copy-protect cryptographic functionalities. While most existing works address the basic single-copy security, the stronger notion of multi-copy security remains largely unexplored. We introduce a generic compiler that upgrades collusion-resistant unclonable primitives to achieve multi-copy security, assuming only one-way functions. Using this framework, we obtain the first multi-copy secure constructions of public-key quant…

Do you need better performance than what the standard #tidyverse functions have? {collapse} might be worth a look: https://sebkrantz.github.io/collapse/

Advanced and Fast Data Transformation in R
A large C/C++-based package for advanced data transformation and statistical computing in R that is extremely fast, class-agnostic, robust, and programmer friendly. Core functionality includes a rich set of S3 generic grouped and weighted statistical functions for vectors, matrices and data frames, which provide efficient low-level vectorizations, OpenMP multithreading, and skip missing values by default. These are integrated with fast grouping and ordering algorithms (also callable from C), an…

NeoPDF: A fast interpolation library for collinear and transverse momentum-dependent parton distributions
Tanjona R. Rabemananjara
https://arxiv.org/abs/2510.05079 https://

NeoPDF: A fast interpolation library for collinear and transverse momentum-dependent parton distributions
We present NeoPDF, an interpolation library that supports both collinear and transverse momentum-dependent parton distribution functions. NeoPDF is designed to be fast and reliable, with modern functionalities that target both current and future hadron collider experiments. It aims to address the shortcomings of existing interpolation libraries while providing additional features to support generic non-perturbative functions. Some of the features include a new interpolation based on Chebyshev p…

Algebraicity of adjoint $L$-functions for quasi-split groups
Shih-Yu Chen
https://arxiv.org/abs/2509.23940 https://arxiv.org/pdf/2509.23940

Algebraicity of adjoint $L$-functions for quasi-split groups
For a globally generic cuspidal automorphic representation $\mathitΠ$ of a quasi-split reductive group $G$ over $\mathbb Q$, E. Lapid and Z. Mao proposed a conjecture on the decomposition of the global Whittaker functionals on $\mathitΠ$ into products of an adjoint $L$-value of $\mathitΠ$ and the local Whittaker functionals. In this paper, we consider the algebraic aspect of the Lapid-Mao conjecture. More precisely, when $\mathitΠ$ is $C$-algebraic, we show that the algebraicity of the adjo…

Error bounds for perspective cones of a class of nonnegative Legendre functions
Xiaozhou Wang, Bruno F. Louren\c{c}o, Ting Kei Pong
https://arxiv.org/abs/2509.26289 https://

Error bounds for perspective cones of a class of nonnegative Legendre functions
Error bounds play a central role in the study of conic optimization problems, including the analysis of convergence rates for numerous algorithms. Curiously, those error bounds are often Hölderian with exponent 1/2. In this paper, we try to explain the prevalence of the 1/2 exponent by investigating generic properties of error bounds for conic feasibility problems where the underlying cone is a perspective cone constructed from a nonnegative Legendre function on $\mathbb{R}$. Our analysis reli…

Emergent Composite Particles from the Universal Exact Identities in Quantum Many-Body Systems with Generic Bilinear Interactions
Hui Li
https://arxiv.org/abs/2509.17648 https://…

Emergent Composite Particles from the Universal Exact Identities in Quantum Many-Body Systems with Generic Bilinear Interactions
A fundamental challenge in quantum many-body physics is to understand the universal properties of strongly correlated systems. In this work, we establish a universal and exact identity from the Dyson-Schwinger equations within the Keldysh-Schwinger field theory for systems with generic bilinear interactions. Our derivation demonstrates the emergence of composite particles as "elementary excitations", whose Green's functions definitively determine the original single-particle Green's function. T…

Universality in the resurgence of generalized Tracy-Widom distributions
Zoltan Bajnok, Bercel Boldis, Dennis le Plat
https://arxiv.org/abs/2509.20302 https://

Universality in the resurgence of generalized Tracy-Widom distributions
We analyze determinants associated with Bessel kernels and generic symbol functions, which govern a class of observables across all values of the 't Hooft coupling in supersymmetric gauge theories. Previous approaches, based on integro-differential equations, have provided systematic strong-coupling expansions for the logarithms of these determinants, expressed through the moments of the symbol. The resulting asymptotic series, once completed with non-perturbative terms, allowed the leading res…

Baker-Akhiezer specialisation of joint eigenfunctions for hyperbolic relativistic Calogero-Moser Hamiltonians
Martin Halln\"as
https://arxiv.org/abs/2509.23974 https://

Baker-Akhiezer specialisation of joint eigenfunctions for hyperbolic relativistic Calogero-Moser Hamiltonians
In earlier joint work with Ruijsenaars, we constructed and studied symmetric joint eigenfunctions $J_N$ for quantum Hamiltonians of the hyperbolic relativistic $N$-particle Calogero--Moser system. For generic coupling values, they are non-elementary functions that in the $N=2$ case essentially amount to a `relativistic' generalisation of the conical function specialisation of the Gauss hypergeometric function ${}_2F_1$. In this paper, we consider a discrete set of coupling values for which the …

Vector Resonant Relaxation and Statistical Closure Theory. II. One-loop Closure
Sofia Flores, Jean-Baptiste Fouvry
https://arxiv.org/abs/2509.22164 https://

Vector Resonant Relaxation and Statistical Closure Theory. II. One-loop Closure
We use stellar dynamics as a testbed for statistical closure theory. We focus on the process of "Vector Resonant Relaxation," a long-range, non-linear, and correlated relaxation mechanism that drives the reorientation of stellar orbital planes around a supermassive black hole. This process provides a natural setting to evaluate the predictive power of generic statistical closure schemes for dynamical correlation functions, in the fully non-linear and non-perturbative regime. We develop a numeri…

Intrinsic spin accumulation in magnetic spin Hall effect
Atsuo Shitade
https://arxiv.org/abs/2509.24719 https://arxiv.org/pdf/2509.24719

Intrinsic spin accumulation in magnetic spin Hall effect
The magnetic spin Hall effect is a time-reversal-odd phenomenon in which spin current is induced by the charge current. In the presence of a spin-orbit coupling and/or noncolinear magnetism, however, spin current is not uniquely defined. Instead, we study an intrinsic response of spin to an electric field gradient that describes the spin accumulation at the boundaries of magnetic systems. We derive a generic formula expressed by Bloch wave functions and apply it to a minimal model for represent…

Distributed Functional Optimization and Learning on Banach Spaces: Generic Frameworks
Zhan Yu, Zhongjie Shi, Deming Yuan, Daniel W. C. Ho
https://arxiv.org/abs/2509.17554 https:…

Distributed Functional Optimization and Learning on Banach Spaces: Generic Frameworks
In this paper, we establish a distributed functional optimization (DFO) theory based on time-varying multi-agent networks. The vast majority of existing distributed optimization theories are developed based on Euclidean decision variables. However, for many scenarios in machine learning and statistical learning, such as reproducing kernel spaces or probability measure spaces that use functions or probability measures as fundamental variables, the development of existing distributed optimization…

Replaced article(s) found for math.RT. https://arxiv.org/list/math.RT/new
[1/1]:
- Bangle functions are the generic basis for cluster algebras from punctured surfaces with boundary
Christof Gei\ss, Daniel Labardini-Fragoso, Jon Wilson

Differential Privacy for Euclidean Jordan Algebra with Applications to Private Symmetric Cone Programming
Zhao Song, Jianfei Xue, Lichen Zhang
https://arxiv.org/abs/2509.16915 h…

Differential Privacy for Euclidean Jordan Algebra with Applications to Private Symmetric Cone Programming
In this paper, we study differentially private mechanisms for functions whose outputs lie in a Euclidean Jordan algebra. Euclidean Jordan algebras capture many important mathematical structures and form the foundation of linear programming, second-order cone programming, and semidefinite programming. Our main contribution is a generic Gaussian mechanism for such functions, with sensitivity measured in $\ell_2$, $\ell_1$, and $\ell_\infty$ norms. Notably, this framework includes the important ca…