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20102025
most citedConsistency of the structure of Legendre transform in thermodynamics with the Kolmogorov-Nagumo average

17 citations · 38 across the 10 of their papers we have counts for

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math.DG2025

Divergence and Deformed Exponential Family

Hiroshi Matsuzoe, Asuka Takatsu

The Kullback--Leibler divergence together with exponential families establishes the foundation of information geometry and is widely generalized. Among the generalization, we focus…

math.DG2019

Invariant metric under deformed Markov embeddings with overlapped supports

Hiroshi Matsuzoe, Asuka Takatsu

Due to Čencov's theorem, there exists a unique family of invariant symmetric -tensor fields on the space of positive probability measures on a set of -points indexed by $…