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cond-mat.stat-mech2024
Geometric theory of (extended) time-reversal symmetries in stochastic processes -- Part II: field theory
Jérémy O'Byrne, Michael E. Cates
In this article, we study the time-reversal properties of a generic Markovian stochastic field dynamics with Gaussian noise. We introduce a convenient functional geometric formalis…
cond-mat.stat-mech2024
Geometric theory of (extended) time-reversal symmetries in stochastic processes -- Part I: finite dimension
Jérémy O'Byrne, Michael E. Cates
In this article, we analyze three classes of time-reversal of a Markov process with Gaussian noise on a manifold. We first unveil a commutativity constraint for the most general of…