A. Sapozhnikov

activity

20082026

most citedOn chemical distances and shape theorems in percolation models with long-range correlations

57 citations · 220 across the 14 of their papers we have counts for

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math.PR2026

Multi-hop visibility through the vacant set of Poissonian obstacles

Yingxin Mu, Artem Sapozhnikov

We study multi-hop visibility inside the vacant set of three obstacle models in $R^{d}$ with slow decay of spatial correlations and disparate obstacle geometries: Poisson-Boo…

math.PR2026

Critical curve of loop percolation on the $d$ -regular tree

Luca Makowiec, Artem Sapozhnikov

We consider clusters formed by a Poisson ensemble of random walk loops on the $d$ -regular tree with an intensity parameter $α > 0$ and a killing parameter $κ > - 1$ ; the latter penalize…

Multi-hop visibility through the vacant set of Poissonian obstacles

Critical curve of loop percolation on the d-regular tree

Critical curve of loop percolation on the $d$ -regular tree