A unified existence and ergodic theorem for Markov evolution of random fields

DOI10.1007/BF00538715zbMath0285.60058OpenAlexW2047636456MaRDI QIDQ4772507

Wayne G. Sullivan

Publication date: 1974

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00538715

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Continuous-time Markov processes on general state spaces (60J25)

Related Items

Some mathematical problems related to the nonequilibrium statistical mechanics of infinitely many particles ⋮ An introduction to infinite particle systems ⋮ On the uniqueness of certain interacting particle systems ⋮ Specific information gain for interacting Markov processes ⋮ L 2 theory for the stochastic Ising model ⋮ Mean square relaxation times for evolution of random fields ⋮ -Convergence to equilibrium and space—time bernoullicity for spin systems in the M < ε case ⋮ Processes with Infinitely Many Jumping Particles ⋮ Monotone convergence of operator semigroups and the dynamics of infinite particle systems

Cites Work

• Mean square relaxation times for evolution of random fields
• Nearest-neighbor Markov interaction processes on multidimensional lattices
• Existence Theorems for Infinite Particle Systems
• An ergodic theorem for interacting systems with attractive interactions
• Markovian Interaction Processes with Finite Range Interactions
• Prescribing a System of Random Variables by Conditional Distributions
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