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math.QA2020
Gauge freedom of entropies on -Gaussian measures
Hiroshi Matsuzoe, Asuka Takatsu
A -Gaussian measure is a generalization of a Gaussian measure. This generalization is obtained by replacing the exponential function with the power function of exponent $1/(1-q)…
cs.IT2020★ 13 cited
An eikonal equation approach to thermodynamics and the gradient flows in information geometry
Tatsuaki Wada, Antonio M. Scarfone, Hiroshi Matsuzoe
We can incorporate a "time" evolution into thermodynamics as a Hamilton-Jacobi dynamics. A set of the equations of states in thermodynamics is considered as the generalized eikonal…