Ergodic properties of the equilibrium process associated with infinitely many Markovian particles

DOI10.2977/prims/1195192570zbMath0361.60091OpenAlexW1990939630MaRDI QIDQ1239551

Tokuzo Shiga, Yoichiro Takahashi

Publication date: 1974

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195192570

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (7)

Some mathematical problems related to the nonequilibrium statistical mechanics of infinitely many particles ⋮ Boundary driven Brownian gas ⋮ Infinite Markov particle systems associated with absorbing stable motion on a half space ⋮ Kritische Verzweigungsprozesse mit allgemeinem Phasenraum, VI ⋮ DIFFEOMORPHISM GROUPS AND CURRENT ALGEBRAS: CONFIGURATION SPACE ANALYSIS IN QUANTUM THEORY ⋮ Construction of Poissonian Fock space: a simple proof ⋮ Analysis and geometry on configuration spaces

Cites Work

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• Factors of Bernoulli shifts are Bernoulli shifts
• Time Reversions of Markov Processes
• Equilibrium Processes

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