10 papers
Super-Arrhenius relaxation of the triangular plaquette model in any dimension
Laurent Bartholdi, Ivailo Hartarsky, Ivan Mitrofanov
Consider the following plaquette model from statistical physics: a lamp lies at every vertex of the triangular lattice and a switch lies at every even vertex of the (bipartite) dua…
Sharpness of the phase transition for constrained-degree percolation
Ivailo Hartarsky, Roger W. C. Silva
We consider constrained-degree percolation on the hypercubic lattice. Initially, all edges are closed, and each edge independently attempts to open at a uniformly distributed rando…
Explosive appearance of cores and bootstrap percolation on lattices
Ivailo Hartarsky, Lyuben Lichev
Consider the process where the vertices of a square -dimensional torus appear consecutively in a random order. We show that typically the size of the -core of the corresp…
Crossings and diffusion in Poisson driven marked random connection models
Alessandra Faggionato, Ivailo Hartarsky
We first study crossing statistics in random connection models (RCM) built on marked Poisson point processes on . Under general assumptions, we show exponential tail b…
Catalan percolation
Eleanor Archer, Ivailo Hartarsky, Brett Kolesnik +3
In Catalan percolation, all nearest-neighbor edges along are initially occupied, and all other edges are open independently with probability . Open edges…
Kinetically constrained models
Ivailo Hartarsky, Cristina Toninelli
The goal of this book is to provide an introduction to the mathematical theory of Kinetically constrained models developed in the last twenty years, intended for both mathematician…