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2020 Percolation in majority dynamics
Gideon Amir, Rangel Baldasso
Electron. J. Probab. 25: 1-18 (2020). DOI: 10.1214/20-EJP414

Abstract

We consider two-dimensional dependent dynamical site percolation where sites perform majority dynamics. We introduce the critical percolation function at time $t$ as the infimum density with which one needs to begin in order to obtain an infinite open component at time $t$. We prove that, for any fixed time $t$, there is no percolation at criticality and that the critical percolation function is continuous. We also prove that, for any positive time, the percolation threshold is strictly smaller than the critical probability for independent site percolation.

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Gideon Amir. Rangel Baldasso. "Percolation in majority dynamics." Electron. J. Probab. 25 1 - 18, 2020. https://doi.org/10.1214/20-EJP414

Information

Received: 9 February 2019; Accepted: 10 January 2020; Published: 2020
First available in Project Euclid: 30 January 2020

zbMATH: 1439.82040
MathSciNet: MR4059191
Digital Object Identifier: 10.1214/20-EJP414

Subjects:
Primary: 82B43, 82C22, 82C43

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