36 citations · 307 across the 37 of their papers we have counts for
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Two Langevin equations in the Doi-Peliti formalism
Kazunori Itakura, Jun Ohkubo, Shin-ichi Sasa
A system-size expansion method is incorporated into the Doi-Peliti formalism for stochastic chemical kinetics. The basic idea of the incorporation is to introduce a new decompositi…
Posterior probability and fluctuation theorem in stochastic processes
Jun Ohkubo
A generalization of fluctuation theorems in stochastic processes is proposed. The new theorem is written in terms of posterior probabilities, which are introduced via the Bayes the…
Duality in interacting particle systems and boson representation
Jun Ohkubo
In the context of Markov processes, we show a new scheme to derive dual processes and a duality function based on a boson representation. This scheme is applicable to a case in whi…
Variational principle of counting statistics in master equations
Jun Ohkubo
We study counting statistics of number of transitions in a stochastic process. For mesoscopic systems, a path integral formulation for the counting statistics has already been deri…