3 papers
math.PR2025
Myopic non-intersection in a periodic potential
Jonas Arista, Daniel Remenik, Avelio Sepúlveda
We introduce a class of Markov processes conditioned to avoid intersection over a moving time window of length T>0, a setting we refer to as myopic non-intersection. In particular,…
math.PR2020
Explicit expressions of the Hua-Pickrell semi-group
Jonas Arista, Nizar Demni
In this paper, we study the one-dimensional Hua-Pickrell diffusion. We start by revisiting the stationary case considered by E. Wong for which we supply omitted details and write d…
math.PR2019
Loop-erased walks and random matrices
Jonas Arista, Neil O'Connell
It is well known that there are close connections between non-intersecting processes in one dimension and random matrices, based on the reflection principle. There is a generalisat…