29 citations · 144 across the 19 of their papers we have counts for
4 papers · 1 filter
The random interchange process on the hypercube
Roman Kotecký, Piotr Miłoś, Daniel Ueltschi
We prove the occurrence of a phase transition accompanied by the emergence of cycles of diverging lengths in the random interchange process on the hypercube.
Maximal displacement of a supercritical branching random walk in a time-inhomogeneous random environment
Bastien Mallein, Piotr Miłoś
The behavior of the maximal displacement of a supercritical branching random walk has been a subject of intense studies for a long time. But only recently the case of time-inhomoge…
Brownian motion and Random Walk above Quenched Random Wall
Bastien Mallein, Piotr Miłoś
We study the persistence exponent for the first passage time of a random walk below the trajectory of another random walk. More precisely, let and be two center…
Branching Brownian motion with absorption and the all-time minimum of branching Brownian motion with drift
Julien Berestycki, Éric Brunet, Simon C. Harris +1
We study a dyadic branching Brownian motion on the real line with absorption at 0, drift and started from a single particle at position When is large e…