162 citations · 1.4k across the 57 of their papers we have counts for
6 papers · 1 filter
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…
Advantages of -logarithm representation over -exponential representation from the sense of scale and shift on nonlinear systems
Hiroki Suyari, Hiroshi Matsuzoe, Antonio M. Scarfone
Addition and subtraction of observed values can be computed under the obvious and implicit assumption that the scale unit of measurement should be the same for all arguments, which…
On the equivalence between four versions of thermostatistics based on strongly pseudo-additive entropies
Velimir M. Ilic, Antonio Maria Scarfone, Tatsuaki Wada
The class of SPA entropies, which can be represented as an increasing continuous transformation of Shannon and Rényi entropies, have intensively been studied in previous decades. A…
-divergence derived as the generalized rate function in a power-law system
Hiroki Suyari, Antonio Maria Scarfone
The generalized binomial distribution in Tsallis statistics (power-law system) is explicitly formulated from the precise -Stirling's formula. The -divergence (or -divergen…
Entropic Forms and Related Algebras
A. M. Scarfone
Starting from a very general trace-form entropy, we introduce a pair of algebraic structures endowed by a generalized sum and a generalized product. These algebras form, respective…
Gauge equivalence among quantum nonlinear many body systems
A. M. Scarfone
Transformations performing on the dependent and/or the independent variables are an useful method used to classify PDE in class of equivalence. In this paper we consider a large cl…