2 citations · 3 across the 4 of their papers we have counts for
4 papers
On the visibility window for Brownian interlacements, Poisson cylinders and Boolean models
Yingxin Mu, Artem Sapozhnikov
We study visibility inside the vacant set of three models in with slow decay of spatial correlations: Brownian interlacements, Poisson cylinders and Poisson-Boolean m…
Indistinguishability of unbounded components in the occupied and vacant sets of Boolean models on symmetric spaces
Yingxin Mu, Artem Sapozhnikov
We study Boolean models on Riemannian symmetric spaces driven by homogeneous insertion- or deletion-tolerant point processes. We prove that in both the set covered by the balls (th…
Phase transition in loop percolation
Yinshan Chang, Artëm Sapozhnikov
We are interested in the clusters formed by a Poisson ensemble of Markovian loops on infinite graphs. This model was introduced and studied in [LeJ12] and [LL12]. It is a model wit…
Upper bound on the expected size of intrinsic ball
Artem Sapozhnikov
We give a short proof of Theorem 1.2 (i) from the paper "The Alexander-Orbach conjecture holds in high dimensions" by G. Kozma and A. Nachmias. We show that the expected size of th…