Cutoff for the square plaquette model on a critical length scale

DOI10.1214/20-AAP1601zbMath1476.60132arXiv1910.14439OpenAlexW3149499132MaRDI QIDQ2240829

Yanyan Li

Publication date: 4 November 2021

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.14439

zbMATH Keywords

Markov chainspectral gapcutoff phenomenonmixing timeGlass transitionplaquette model

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (2)

The cutoff phenomenon for the stochastic heat and wave equation subject to small Lévy noise ⋮ The cutoff phenomenon in total variation for nonlinear Langevin systems with small layered stable noise

Cites Work

• Unnamed Item
• Unnamed Item
• Mixing and hitting times for finite Markov chains
• Mixing times are hitting times of large sets
• Universality of cutoff for the Ising model
• Relaxation to equilibrium of generalized east processes on \(\mathbb{Z}^{d}\): renormalization group analysis and energy-entropy competition
• Mixing time bounds via the spectral profile
• Mixing length scales of low temperature spin plaquettes models
• Towards a universality picture for the relaxation to equilibrium of kinetically constrained models
• Mixing of the square plaquette model on a critical length scale
• Mixing times for a constrained Ising process on the two-dimensional torus at low density
• Cutoff for the East process
• Mixing times for a constrained Ising process on the torus at low density
• Metastable Markov chains
• Universality results for kinetically constrained spin models in two dimensions
• Fredrickson-Andersen one spin facilitated model out of equilibrium
• The East model: recent results and new progresses
• On the precision of the spectral profile
• Improved Bounds for Mixing Rates of Markov Chains and Multicommodity Flow
• Probability
• The cutoff phenomenon in finite Markov chains.
• Characterization of cutoff for reversible Markov chains
• Mixing time and local exponential ergodicity of the east-like process in \(\mathbb{Z}^d\)

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