# Coalescing and branching simple symmetric exclusion process

@article{Hartarsky2020CoalescingAB, title={Coalescing and branching simple symmetric exclusion process}, author={Ivailo Hartarsky and Fabio Martinelli and Cristina Toninelli}, journal={arXiv: Probability}, year={2020} }

Motivated by kinetically constrained interacting particle systems (KCM), we consider a reversible coalescing and branching simple exclusion process on a general finite graph $G=(V,E)$ dual to the biased voter model on $G$. Our main goal are tight bounds on its logarithmic Sobolev constant and relaxation time, with particular focus on the delicate slightly supercritical regime in which the equilibrium density of particles tends to zero as $|V|\rightarrow \infty$. Our results allow us to recover…

## 5 Citations

Sharp threshold for the FA-2f kinetically constrained model

- Computer Science
- 2020

This is the first sharp result for a critical KCM and it compares with Holroyd's 2003 result on bootstrap percolation and its subsequent improvements, and settles various controversies accumulated in the physics literature over the last four decades.

A Note on the Spectral Gap of the Fredrickson–Andersen One Spin Facilitated Model

- MathematicsJournal of statistical physics
- 2020

The purpose of this paper is to present new upper bounds that have the same asymptotics as the known lower bounds of the Fredrickson–Andersen one spin facilitated model on finite graphs.

Fredrickson--Andersen model in two dimensions

- Physics, Mathematics
- 2022

. The present expository article overviews recent mathematical advances on the Fredrickson– Andersen kinetically constrained spin model in two dimensions. It was introduced in physics as a toy model…

Bisection for kinetically constrained models revisited

- MathematicsElectronic Communications in Probability
- 2021

The bisection method for kinetically constrained models (KCM) of Cancrini, Martinelli, Roberto and Toninelli is a vital technique applied also beyond KCM. In this note we present a new way of…

Refined universality for critical KCM: upper bounds

- Mathematics
- 2021

We study a general class of interacting particle systems called kinetically constrained models (KCM) in two dimensions tightly linked to the monotone cellular automata called bootstrap percolation.…

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