3 papers
math.PR2022
A law of large numbers for local patterns in Schur measures and a Schur process
Pierre Lazag
The aim of this note is to prove a law of large numbers for local patterns in discrete point processes. We investigate two different situations: a class of point processes on the o…
math.PR2020
A law of large numbers for local patterns in plane partitions
Pierre Lazag
In this note, we prove a law of large numbers for local patterns in plane partitions with geometric weight, a model introcued by Okounkov and Reshetikhin. Its proof is based on the…
math.PR2017
The Hyperbolic-type Point Process
Nizar Demni, Pierre Lazag
In this paper, we introduce a two-parameters determinantal point process in the Poincaré disc and compute the asymptotics of the variance of its number of particles inside a disc c…