Joscha Prochno

activity

20232026

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Showing 2024Show all

4 papers · 1 filter

math.PR2024

Limit Theorems for the Volume of Random Projections and Sections of $ℓ_{p}^{N}$ -balls

Joscha Prochno, Christoph Thaele, Philipp Tuchel

Let $B_{p}^{N}$ be the $N$ -dimensional unit ball corresponding to the $ℓ_{p}$ -norm. For each $N \in N$ we sample a uniform random subspace $E_{N}$ of fixed dimension $m\i…

math.HO2024

Talagrand's mathematical journey to the Abel Prize 2024

Olivier Guédon, Joscha Prochno

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…

math.PR2024

The macroscopic shape of Gelfand-Tsetlin patterns and free probability

Samuel G. G. Johnston, Joscha Prochno

A compression is a function $F : R \times [0, 1] \to [0, 1]$ such that each $F (\cdot, τ)$ is the distribution function of a measure of mass $τ$ , while each $F (x, \cdot)$ is increasi…

math.PR2024

The largest fragment in self-similar fragmentation processes of positive index

Piotr Dyszewski, Samuel G. G. Johnston, Sandra Palau +1

We study a self-similar fragmentation process with dislocation measure $ν$ and self-similarity index $α > 0$ . Let $e^{- m_{t}}$ denote the size of the largest fragment at time $t \geq…

Limit Theorems for the Volume of Random Projections and Sections of ℓpN​-balls

Talagrand's mathematical journey to the Abel Prize 2024

The macroscopic shape of Gelfand-Tsetlin patterns and free probability

The largest fragment in self-similar fragmentation processes of positive index

Limit Theorems for the Volume of Random Projections and Sections of $ℓ_{p}^{N}$ -balls