3 papers
math.PR2026
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…
cond-mat.dis-nn2024
Statistical mechanics of directed networks
Marián Boguñá, M. Ãngeles Serrano
Directed networks are essential for representing complex systems, capturing the asymmetry of interactions in fields such as neuroscience, transportation, and social networks. Direc…
math-ph2024
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…