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19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

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Showing 2023 · math.PRShow all

12 papers · 2 filters

math.PR2023

Fragmentation processes and the convex hull of the Brownian motion in a disk

Bénédicte Haas, Bastien Mallein

Motivated by the study of the convex hull of the trajectory of a Brownian motion in the unit disk reflected orthogonally at its boundary, we study inhomogeneous fragmentation proce…

math.PR2023★ 1 cited

Last passage percolation and limit theorems in Barak-Erdős directed random graphs and related models

Sergey Foss, Takis Konstantopoulos, Bastien Mallein +1

We consider directed random graphs, the prototype of which being the Barak-Erdős graph , and study the way that long (or heavy, if weights are present) paths…

math.PR2023

Deviation results for Mandelbrot's multiplicative cascades with exponential tails

Thierry Klein, Agnès Lagnoux, P Petit

Let be a nonnegative random variable with expectation . For all , we consider the total mass of the associated Mandelbrot multiplicative cascade…

math.PR2023

Reinforced Galton-Watson processes II: Large time behaviors

Jean Bertoin, Bastien Mallein

Reinforced Galton-Watson processes have been introduced in arxiv:2306.02476 as population models with non-overlapping generations, such that reproduction events along genealogical…

math.PR2023

The all-time maximum for branching Brownian motion with absorption conditioned on long-time survival

Pascal Maillard, Jason Schweinsberg

We consider branching Brownian motion in which initially there is one particle at , particles produce a random number of offspring with mean at the time of branching event…

math.PR2023

Invertibility of functionals of the Poisson process and applications

Laure Coutin, Laurent Decreusefond

Following previous investigations by {Ü}st{ü}nel [22] about the invertibility of some transformations on the Wiener space, we find some entropic conditions under which a random cha…