Thermodynamic formalism on the Skorokhod space: the continuous-time Ruelle operator, entropy, pressure, entropy production and expansiveness

DOI10.1007/s40863-024-00417-8MaRDI QIDQ6656148

Artur Oscar Lopes, Josué Knorst, Grant E. Muller, Adriana Neumann

Publication date: 2 January 2025

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

symmetryeigenvaluepressureeigenfunctionFeynman-Kac formulaentropy productionSkorokhod spacetime-reversalexpansivenesscontinuous time Ruelle operatorcontinuous time shift-invarianceGibbs Markov processes

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Brownian motion (60J65) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

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