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cond-mat.stat-mech2022★ 9 cited
Action Functional Gradient Descent algorithm for estimating escape paths in Stochastic Chemical Reaction Networks
Praful Gagrani, Eric Smith
We first derive the Hamilton-Jacobi theory underlying continuous-time Markov processes, and then use the construction to develop a variational algorithm for estimating escape (leas…
cond-mat.stat-mech2020★ 3 cited
Eikonal solutions for moment hierarchies of Chemical Reaction Networks in the limits of large particle number
Eric Smith, Supriya Krishnamurthy
Trajectory-based methods are well-developed to approximate steady-state probability distributions for stochastic processes in large-system limits. The trajectories are solutions to…
cond-mat.stat-mech2020★ 18 cited
Intrinsic and extrinsic thermodynamics for stochastic population processes with multi-level large-deviation structure
Eric Smith
A set of core features is set forth as the essence of a thermodynamic description, which derive from large-deviation properties in systems with hierarchies of timescales, but which…