162 citations · 1.4k across the 57 of their papers we have counts for
57 papers
A Constructive Approach to -Gaussian Distributions: -Divergence as Rate Function and Generalized de Moivre-Laplace Theorem
Hiroki Suyari, Antonio M. Scarfone
The Large Deviation Principle (LDP) and the Central Limit Theorem (CLT) are central pillars of probability theory. While their formulations are established under the i.i.d. assumpt…
A Hamiltonian approach to the gradient-flow equations in information geometry
Tatsuaki Wada, Antonio M. Scarfone
We have studied the gradient-flow equations in information geometry from a point-particle perspective. Based on the motion of a null (or light-like) particle in a curved space, we…
On the Kaniadakis distributions applied in statistical physics and natural sciences
Tatsuaki Wada, Antonio M. Scarfone
Constitutive relations are fundamental and essential to characterize physical systems. By utilizing the -deformed functions, some constitutive relations are generalized. We here…
k-Deformed Fourier Transform
A. M. Scarfone
We present a new formulation of Fourier transform in the picture of the -algebra derived in the framework of the -generalized statistical mechanics. The -Fourier transform…
Consistency of the structure of Legendre transform in thermodynamics with the Kolmogorov-Nagumo average
A. M. Scarfone, H. Matsuzoe, T. Wada
We show the robustness of the structure of Legendre transform in thermodynamics against the replacement of the standard linear average with the Kolmogorov-Nagumo nonlinear average…
Huygens' equations and the gradient-flow equations in information geometry
Tatsuaki Wada, Antonio M. Scarfone, Hiroshi Matsuzoe
We revisit the relation between the gradient-flow equations and Hamilton's equations in information geometry. By regarding the gradient-flow equations as Huygens' equations in geom…