9 papers
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…
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…
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…
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…
Locality approach to the bootstrap percolation paradox
Ivailo Hartarsky, Augusto Teixeira
We revisit the Bootstrap Percolation model, leveraging recent mathematical advances linking it with its local counterpart. This new perspective resolves, for the first time, histor…
Universality for critical KCM: infinite number of stable directions
Ivailo Hartarsky, Laure Marêché, Cristina Toninelli
Kinetically constrained models (KCM) are reversible interacting particle systems on with continuous-time constrained Glauber dynamics. They are a natural non-monoton…