Glauber dynamics on the cycles: Spectral distribution of the generator

DOI10.1142/S0219025715500022zbMath1311.82030MaRDI QIDQ5247184

Sangdon Park, Hyun Jae Yoo, Chul Ki Ko

Publication date: 23 April 2015

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

spectral distributionquantum probabilityvacuum stateinteracting Fock spacequantum decompositionKesten distributionGlauber dynamics on cycles

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) 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

• Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.
• A remark on monotonicity for the Glauber dynamics on finite graphs
• Finite-volume Glauber dynamics in a small magnetic field
• Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
• Glauber dynamics on the cycle is monotone
• Glauber dynamics on trees: Boundary conditions and mixing time
• Glauber dynamics on trees and hyperbolic graphs
• Interacting Fock Spaces and Gaussianization of Probability Measures

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