Irreversibility implies the occurrence of nonmonotonic power spectra

DOI10.1063/1.2747615zbMath1144.81326OpenAlexW2023826805MaRDI QIDQ3529806

Jian-Sheng Xie, Yong Chen, Ming-Ping Qian

Publication date: 14 October 2008

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

Full work available at URL: https://doi.org/10.1063/1.2747615

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Cites Work

• \(L_ 2\) rates of convergence for attractive reversible nearest particle systems: The critical case
• Algebraic \(L^ 2\) decay of attractive critical processes on the lattice
• Coupling, spectral gap and related topics. III
• Algebraic convergence of Markov chains
• Mathematical theory of nonequilibrium steady states. On the frontier of probability and dynamical systems.
• The Green–Kubo formula, autocorrelation function and fluctuation spectrum for finite Markov chains with continuous time
• On characterization of reversible Markov processes by monotonicity of the fluctuation spectral density
• The Green–Kubo formula and power spectrum of reversible Markov processes

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