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19942026
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11 papers · 2 filters

math.PR2018★ 4 cited

Supplementary Material for Random Cayley Graphs Project

Jonathan Hermon, Sam Olesker-Taylor

This document contains supplementary material for the main articles in our Random Cayley Graphs project. We prove refined results about simple random walks on the integers and on t…

math.PR2018★ 23 cited

Random walks with preferential relocations and fading memory: a study through random recursive trees

Cécile Mailler, Gerónimo Uribe Bravo

Consider a stochastic process that behaves as a -dimensional simple and symmetric random walk, except that, with a certain fixed probability, at each step, it chooses instead to…

math.PR2018

Stochastic Methods for the Neutron Transport Equation I: Linear Semigroup asymptotics

Emma Horton, Andreas E. Kyprianou, Denis Villemonais

The Neutron Transport Equation (NTE) describes the flux of neutrons through an inhomogeneous fissile medium. In this paper, we reconnect the NTE to the physical model of the spatia…

math.PR2018★ 4 cited

Borodin-Péché fluctuations of the free energy in directed random polymer models

Zsófia Talyigás, Bálint Vető

We consider two directed polymer models in the Kardar-Parisi-Zhang (KPZ) universality class: the O'Connell-Yor semi-discrete directed polymer with boundary sources and the continuu…

math.PR2018★ 3 cited

Malliavin-Stein Method: a Survey of Recent Developments

Ehsan Azmoodeh, Giovanni Peccati, Xiaochuan Yang

Initiated around the year 2007, the Malliavin-Stein approach to probabilistic approximations combines Stein's method with infinite-dimensional integration by parts formulae based o…

math.PR2018★ 23 cited

Multi-species neutron transport equation

Alex M. G. Cox, Simon C. Harris, Emma Horton +1

The Neutron Transport Equation (NTE) describes the flux of neutrons through inhomogeneous fissile medium. Whilst well treated in the nuclear physics literature (cf. [9, 27]), the N…