Showing math.PRShow all
3 papers · 1 filter
math.PR2019
Scaling limits of permutation classes with a finite specification: a dichotomy
Frédérique Bassino, Mathilde Bouvel, Valentin Féray +3
We consider uniform random permutations in classes having a finite combinatorial specification for the substitution decomposition. These classes include (but are not limited to) al…
math.PR2018
Longest increasing paths with gaps
Anne-Laure Basdevant, Lucas Gerin
We consider a variant of the continuous and discrete Ulam-Hammersley problems: we study the maximal length of an increasing path through a Poisson point process (or a Bernoulli poi…
math.PR2015
Discrete Hammersley's Lines with sources and sinks
A. -L. Basdevant, N. Enriquez, L. Gerin +1
We introduce two stationary versions of two discrete variants of Hammersley's process in a finite box, this allows us to recover in a unified and simple way the laws of large numbe…