On a front evolution problem for the multidimensional East model

DOI10.1214/22-EJP870MaRDI QIDQ2105152

Yanyan Li

Publication date: 8 December 2022

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.14693

zbMATH Keywords

renormalizationcutoff phenomenoninteracting particle systemskinetically constrained modelsEast modelfront evolution

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Cites Work

• Aging through hierarchical coalescence in the East model
• Relaxation to equilibrium of generalized east processes on \(\mathbb{Z}^{d}\): renormalization group analysis and energy-entropy competition
• Facilitated oriented spin models: some non equilibrium results
• The asymmetric one-dimensional constrained Ising model: Rigorous results
• Inequalities for rare events in time-reversible Markov chains. I.
• Time scale separation and dynamic heterogeneity in the low temperature East model
• Exponential convergence to equilibrium for the \(d\)-dimensional East model
• Cutoff for the East process
• Front progression in the east model
• Kinetically constrained spin models
• Fredrickson-Andersen one spin facilitated model out of equilibrium
• The East model: recent results and new progresses
• 50 Years of First-Passage Percolation
• Shuffling Cards and Stopping Times
• The cutoff phenomenon in finite Markov chains.
• Exponential convergence to equilibrium in supercritical kinetically constrained models at high temperature
• Mixing time and local exponential ergodicity of the east-like process in \(\mathbb{Z}^d\)

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