30 citations · 70 across the 29 of their papers we have counts for
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math-ph2019
Diffusion equations from master equations -- A discrete geometric approach --
Shin-itiro Goto, Hideitsu Hino
In this paper, continuous-time master equations with finite states employed in nonequilibrium statistical mechanics are formulated in the language of discrete geometry. In this for…
math-ph2019
Expectation variables on a para-contact metric manifold exactly derived from master equations
Shin-itiro Goto, Hideitsu Hino
Based on information and para-contact metric geometries, in this paper a class of dynamical systems is formulated for describing time-development of expectation variables. Here suc…
math-ph2018
Information and contact geometric description of expectation variables exactly derived from master equations
Shin-Itiro Goto, Hideitsu Hino
In this paper a class of dynamical systems describing expectation variables exactly derived from continuous-time master equations is introduced and studied from the viewpoint of di…