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- W3137609903 abstract "Based on information and para-contact metric geometries, in this paper two classes of dynamical systems are formulated. One is for describing the time-development of probability distribution functions following continuous-time master equations, and the other one for describing expectation variables with respect to the distribution functions. These two classes of systems are described by contact Hamiltonian systems on contact metric manifolds. Here the systems for expectation variables are exactly derived from the master equations describing nonequilibrium processes. Their relaxation processes are characterized by the lengths of integral curves of contact Hamiltonian vector fields and the values of the Ricci tensor fields. At equilibrium states realized as the time-asymptotic limit of the contact Hamiltonian systems, possible information geometric structures are given." @default.
- W3137609903 created "2021-03-29" @default.
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- W3137609903 date "2021-01-01" @default.
- W3137609903 modified "2023-09-23" @default.
- W3137609903 title "Contact Hamiltonian Systems for Probability Distribution Functions and Expectation Variables: A Study Based on a Class of Master Equations" @default.
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- W3137609903 doi "https://doi.org/10.1007/978-3-030-65459-7_4" @default.
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