Zobrazeno 1 - 10
of 237
pro vyhledávání: '"Prochno, Joscha"'
A Gelfand-Tsetlin function is a real-valued function $\phi:C \to \mathbb{R}$ defined on a finite subset $C$ of the lattice $\mathbb{Z}^2$ with the property that $\phi(x) \leq \phi(y)$ for every edge $\langle x,y \rangle$ directed north or east betwee
Externí odkaz:
http://arxiv.org/abs/2410.10754
Autor:
Guédon, Olivier, Prochno, Joscha
Michel Talagrand (Centre National de la Recherche Scientifique, France) has been awarded the prestigious Abel Prize for 2024 for his work in probability theory, functional analysis, and statistical physics. In this note, we introduce the Abel Prize L
Externí odkaz:
http://arxiv.org/abs/2410.07945
Take a self-similar fragmentation process with dislocation measure $\nu$ and index of self-similarity $\alpha > 0$. Let $e^{-m_t}$ denote the size of the largest fragment in the system at time $t\geq 0$. We prove fine results for the asymptotics of t
Externí odkaz:
http://arxiv.org/abs/2409.11795
Autor:
Frühwirth, Lorenz, Prochno, Joscha
In this article, we present a precise deviation formula for the intersection of two Orlicz balls generated by Orlicz functions $V$ and $W$. Additionally, we establish a (quantitative) central limit theorem in the critical case and a strong law of lar
Externí odkaz:
http://arxiv.org/abs/2407.15579
The study of Schatten classes has a long tradition in geometric functional analysis and related fields. In this paper we study a variety of geometric and probabilistic aspects of finite-dimensional Schatten classes of not necessarily square matrices.
Externí odkaz:
http://arxiv.org/abs/2404.07145
The sequence of entropy numbers quantifies the degree of compactness of a linear operator acting between quasi-Banach spaces. We determine the asymptotic behavior of entropy numbers in the case of natural embeddings between finite-dimensional Lorentz
Externí odkaz:
http://arxiv.org/abs/2404.06058
While there is extensive literature on approximation, deterministic as well as random, of general convex bodies $K$ in the symmetric difference metric, or other metrics arising from intrinsic volumes, very little is known for corresponding random res
Externí odkaz:
http://arxiv.org/abs/2404.02870
Autor:
Prochno, Joscha
The work of Gantert, Kim, and Ramanan [Large deviations for random projections of $\ell^p$ balls, Ann. Probab. 45 (6B), 2017] has initiated and inspired a new direction of research in the asymptotic theory of geometric functional analysis. The modera
Externí odkaz:
http://arxiv.org/abs/2403.03940
In this paper we take a probabilistic look at Maclaurin's inequality, which is a refinement of the classical AM-GM inequality. In a natural randomized setting, we obtain limit theorems and show that a reverse inequality holds with high probability. T
Externí odkaz:
http://arxiv.org/abs/2312.12134
Autor:
Prochno, Joscha, Strzelecka, Marta
Classical works of Kac, Salem and Zygmund, and Erd\H{o}s and G\'{a}l have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For inst
Externí odkaz:
http://arxiv.org/abs/2312.09137