Positive recurrence of processes associated to crystal growth models

DOI10.1214/105051606000000079zbMath1107.60071arXivmath/0610172OpenAlexW2088826059MaRDI QIDQ862198

Valentin Sisko, Enrique Daniel Andjel, Mikhail V. Menshikov

Publication date: 5 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0610172

zbMATH Keywords

invariant measureMarkov chainexponentially decaying tails

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Other physical applications of random processes (60K40) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (3)

Introduction to shape stability for a storage model ⋮ Stationary Distribution Analysis of a Queueing Model with Local Choice ⋮ Dynamics of the Non-Homogeneous Supermarket Model

Cites Work

• Markov models of steady crystal growth
• Topics in the Constructive Theory of Countable Markov Chains

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