Results 81 to 90 of about 238 (174)
Exception Sets of Intrinsic and Piecewise Lipschitz Functions. [PDF]
J Geom Anal, 2022 Leobacher G, Steinicke A.
europepmc +1 more source
Geometric Planted Matchings Beyond the Gaussian Model
Random Structures &Algorithms, Volume 68, Issue 4, July 2026.ABSTRACT We consider the problem of recovering an unknown matching between a set of n$$ n $$ randomly placed points in ℝd$$ {\mathbb{R}}^d $$ and random perturbations of these points. This can be seen as a model for particle tracking and more generally, entity resolution.
Lucas R. Schwengber, Roberto I. Oliveira
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REAL CLOSED FIELDS VIA STRONG SOLOVAY REDUCIBILITY [PDF]
In computability theory, we naturally encounter some countable real closed fields. Notably, the set of all computable reals forms a real closed field. The main goal of this paper is to explore more deeply the relationship between nonrandomness and real ...
KUMABE,MASAHIRO +2 more
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Robust Bernoulli Mixture Models for Credit Portfolio Risk
Mathematical Finance, Volume 36, Issue 3, Page 528-543, July 2026.ABSTRACT This paper presents comparison results and establishes risk bounds for credit portfolios within classes of Bernoulli mixture models, assuming conditionally independent defaults that are stochastically increasing in a common risk factor. We provide simple and interpretable conditions on conditional default probabilities that imply a comparison ...
Jonathan Ansari, Eva Lütkebohmert
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$BV$ spaces and rectifiability for Carnot-Carathéodory metrics: an introduction [PDF]
, 2002 summary:This paper is meant as a (short and partial) introduction to the study of the geometry of Carnot groups and, more generally, of Carnot-Carathéodory spaces associated with a family of Lipschitz continuous vector fields.
Franchi, Bruno, Bruno Franchi
core
The minimum of two plurisubharmonic functions and a new characterization of holomorphic functions
, 2011 summary:We prove, among other results, that $\min (u,v)$ is plurisubharmonic (psh) when $u,v$ belong to a family of functions in ${\rm psh}(D)\cap \Lambda _{\alpha }(D),$ where $\Lambda _{\alpha }(D)$ is the $\alpha $-Lipchitz functional space with ...
Ben Yattou, Mohamed Lassaad +1 more
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Quantitative asymptotics for polynomial patterns in the primes
Mathematika, Volume 72, Issue 3, July 2026.Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen +2 more
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Cross‐Method Explanation Stability Under Prediction‐Preserving Perturbations in Explainable AI
Applied AI Letters, Volume 7, Issue 2, June 2026.The cross‐method analysis showed common vulnerability patterns across gradient‐based and perturbation‐based explainers, whereas Grad‐CAM demonstrated a specific ability to be resilient. Further discussion revealed that, before prediction changes with increasing ε, explanation divergence could already have commenced, indicating that further explanation ...
Muhammad Hasnain +4 more
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Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars
Communications on Pure and Applied Mathematics, Volume 79, Issue 6, Page 1449-1466, June 2026.ABSTRACT Batchelor predicted that a passive scalar ψν$\psi ^\nu$ with diffusivity ν$\nu$, advected by a smooth fluid velocity, should typically have Fourier mass distributed as |ψ̂ν|2(k)≈|k|−d$|\widehat{\psi }^\nu |^2(k) \approx |k|^{-d}$ for |k|≪ν−1/2$|k| \ll \nu ^{-1/2}$.
William Cooperman, Keefer Rowan
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