2 papers
math.PR2025
Up-down chains and scaling limits: application to permuton- and graphon-valued diffusions
Valentin Féray, Kelvin Rivera-Lopez
An up-down chain is a Markov chain in which each transition is a two-step process that moves up to a larger object and then back down to an object of the original size. The first g…
math.PR2023
The permuton limit of random recursive separable permutations
Valentin Féray, Kelvin Rivera-Lopez
We introduce and study a simple Markovian model of random separable permutations. Our first main result is the almost sure convergence of these permutations towards a random limiti…