Glauber dynamics for fermion point processes

DOI10.1017/S0027763000008412zbMath1029.82025OpenAlexW1649090914MaRDI QIDQ4431465

Tomoyuki Shirai, Hyun Jae Yoo

Publication date: 22 October 2003

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1114631786

zbMATH Keywords

Markov processlog-Sobolev inequality

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (8)

Determinantal probability measures ⋮ Equilibrium Kawasaki dynamics and determinantal point process ⋮ The quasi-invariance property for the gamma kernel determinantal measure ⋮ Random point fields associated with certain Fredholm determinants. I: Fermion, Poisson and Boson point processes. ⋮ Stationary determinantal processes: phase multiplicity, Bernoullicity, entropy, and domination ⋮ Random point fields associated with certain Fredholm determinants. II: Fermion shifts and their ergodic and Gibbs properties ⋮ Dirichlet forms and diffusion processes for fermion random point fields ⋮ Gibbsianness of fermion random point fields

Cites Work

• Ground states of the XY-model
• A covariance estimate for Gibbs measures
• The equivalence of the logarithmic Sobolev inequality and the Dobrushin- Shlosman mixing condition
• The logarithmic Sobolev inequality for discrete spin systems on a lattice
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Gibbs measures and phase transitions
• Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
• Dirichlet forms and symmetric Markov processes
• Hypercontractivity for spin systems of infinite extension
• Random point fields associated with certain Fredholm determinants. I: Fermion, Poisson and Boson point processes.
• Random point fields associated with certain Fredholm determinants. II: Fermion shifts and their ergodic and Gibbs properties
• Point processes and the infinite symmetric group.
• Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions
• Determinantal random point fields
• A Remark on Nelson's Best Hypercontractive Estimates
• Logarithmic Sobolev Inequalities
• The coincidence approach to stochastic point processes
• Séminaire de Probabilités XXXVI
• Asymptotics of Plancherel measures for symmetric groups
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