Develops a complete stochastic calculus for pathwise observables in Markov-jump processes and unifies it with diffusion via continuum limit.
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cond-mat.stat-mech 2years
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Finite-volume coarse-graining of planar diffusions into Markov chains makes the discrete entropy production converge to the continuous value and supplies a practical test for nonequilibrium from observed trajectories.
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Stochastic Calculus for Pathwise Observables of Markov-Jump Processes: Unification of Diffusion and Jump Dynamics
Develops a complete stochastic calculus for pathwise observables in Markov-jump processes and unifies it with diffusion via continuum limit.
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Coarse-graining nonequilibrium diffusions with Markov chains
Finite-volume coarse-graining of planar diffusions into Markov chains makes the discrete entropy production converge to the continuous value and supplies a practical test for nonequilibrium from observed trajectories.