3 papers
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…
cond-mat.stat-mech2021
Non-Equilibrium Currents in Stochastic Field Theories: a Geometric Insight
Jérémy O'Byrne
We introduce a new formalism to study nonequilibrium steady-state currents in stochastic field theories. We show that generalizing the exterior derivative to functional spaces allo…