A remark on monotonicity for the Glauber dynamics on finite graphs

DOI10.3792/pjaa.86.33zbMath1192.82050OpenAlexW2010535053MaRDI QIDQ963134

Tomoyuki Shirai

Publication date: 8 April 2010

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.86.33

zbMATH Keywords

spectral gapcorrelation inequalitiesIsing modelGlauber dynamicsmonotonicity conjecturespin expectation

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)

Related Items (1)

Glauber dynamics on the cycles: Spectral distribution of the generator

Cites Work

• Correlation inequalities on some partially ordered sets
• Glauber dynamics on the cycle is monotone
• Unnamed Item

This page was built for publication: A remark on monotonicity for the Glauber dynamics on finite graphs