Tootfinder

Socio-Technical Smell Dynamics in Code Samples: A Multivocal Review on Emergence, Evolution, and Co-Occurrence
Arthur Bueno, Bruno Cafeo, Maria Cagnin, Awdren Font\~ao
https://arxiv.org/abs/2507.13481

Socio-Technical Smell Dynamics in Code Samples: A Multivocal Review on Emergence, Evolution, and Co-Occurrence
Code samples play a pivotal role in open-source ecosystems (OSSECO), serving as lightweight artifacts that support knowledge transfer, onboarding, and framework adoption. Despite their instructional relevance, these samples are often governed informally, with minimal review and unclear ownership, which increases their exposure to socio-technical degradation. In this context, the co-occurrence and longitudinal interplay of code smells (e.g., large classes, poor modularity) and community smells (…

Finite-Dimensional Quantum Systems under the Fourth Law of Thermodynamics
Rohit Kishan Ray
https://arxiv.org/abs/2508.14389 https://arxiv.org/pdf/2508.1438…

Finite-Dimensional Quantum Systems under the Fourth Law of Thermodynamics
The Steepest Entropy Ascent (SEA) ansatz, recently recognized as the fourth law of thermodynamics, governs the irreversible evolution of a system from a non-equilibrium state toward a unique maximum-entropy equilibrium. SEA builds upon the second law to unify mechanics and thermodynamics. Due to its nonlinear nature, exact solutions to the SEA equation of motion are scarce. To address this, the Fixed Lagrange Multiplier (FLM) method is developed as an approximate analytical tool, applicable to …

Strong Convergence of Multiplicative Brownian Motions on the General Linear Group
Marwa Banna, Mireille Capitaine, Guillaume C\'ebron
https://arxiv.org/abs/2507.13922

Strong Convergence of Multiplicative Brownian Motions on the General Linear Group
We consider the family of multiplicative Brownian motions $G_{λ,τ}$ on the general linear group introduced by Driver-Hall-Kemp. They are parametrized by the real variance $λ\in \mathbb{R}$ and the complex covariance $τ\in \mathbb{C}$ of the underlying elliptic Brownian motion. We show the almost sure strong convergence of the finite-dimensional marginals of $G_{λ,τ}$ to the corresponding free multiplicative Brownian motion introduced by Hall-Ho: as the dimension tends to infinity, not onl…

Interpolation in Polynomial Spaces of p-Degree
Phil-Alexander Hofmann, Damar Wicaksono, Michael Hecht
https://arxiv.org/abs/2507.13640 https://

Interpolation in Polynomial Spaces of p-Degree
We recently introduced the Fast Newton Transform (FNT), an algorithm for performing multivariate Newton interpolation in downward closed polynomial spaces of spatial dimension $m$. In this work, we analyze the FNT in the context of a specific family of downward closed sets $A_{m,n,p}$, defined as all multi-indices with $\ell^p$ norm less than $n$ with $p \in [0,\infty]$. These sets induce the downward closed polynomial space $Π_{m,n,p}$, within which the FNT algorithm achieves a time complexit…

Crosslisted article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[4/6]:
- Learning Time-Varying Convexifications of Multiple Fairness Measures
Quan Zhou, Jakub Marecek, Robert Shorten

Replaced article(s) found for cs.DS. https://arxiv.org/list/cs.DS/new
[1/1]:
- Finite matrix multiplication algorithms from infinite groups
Jonah Blasiak, Henry Cohn, Joshua A. Grochow, Kevin Pratt, Chris Umans

Replaced article(s) found for math.GR. https://arxiv.org/list/math.GR/new
[1/1]:
- Finite matrix multiplication algorithms from infinite groups
Jonah Blasiak, Henry Cohn, Joshua A. Grochow, Kevin Pratt, Chris Umans

Replaced article(s) found for math.NT. https://arxiv.org/list/math.NT/new
[1/1]:
- Multifactorisations and Divisor Functions
Ambrose D. Law, Matthew C. Lettington, Karl Michael Schmidt

Structure-preserving parametric finite element methods for two-phase Stokes flow based on Lagrange multiplier approaches
Harald Garcke, Dennis Trautwein, Ganghui Zhang
https://arxiv.org/abs/2508.12326 …

Structure-preserving parametric finite element methods for two-phase Stokes flow based on Lagrange multiplier approaches
We present a novel formulation for parametric finite element methods to approximate two-phase Stokes flow. The new formulation is based on the classical Stokes equation in the bulk and a novel choice of interface conditions with additional Lagrange multipliers. This new Lagrange multiplier approach ensures that the numerical methods exactly preserve two physical structures of two-phase Stokes flow at the fully discrete level: (i) the energy-decaying and (ii) the volume-preserving properties. Mo…

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[1/2]:
- Complete Genuine Multipartite Entanglement Monotone
Yu Guo
https://…