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On equilibrium distribution of a reversible growth model

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Publication:1759687
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DOI10.1007/s10955-012-0530-xzbMath1253.82021OpenAlexW1998360541MaRDI QIDQ1759687

Anatoly Yambartsev, Vadim Shcherbakov

Publication date: 21 November 2012

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-012-0530-x


zbMATH Keywords

percolationMarkov chainGibbs measurereversibility


Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)


Related Items (1)

Long term behaviour of locally interacting birth-and-death processes



Cites Work

  • Explosion, implosion, and moments of passage times for continuous-time Markov chains: a semimartingale approach
  • Stability of a growth process generated by monomer filling with nearest-neighbour cooperative effects
  • Contact interactions on a lattice
  • A model for clustering
  • A note on Strauss's model for clustering
  • On the asymptotic geometrical behaviour of a class of contact interaction processes with a monotone infection rate
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