57 citations · 191 across the 20 of their papers we have counts for
20 papers
Breakdown of Edgeworth Expansion in Finite-Blocklength Regime and Exact Absorption via -Deformation
Hiroki Suyari
This paper addresses the structural breakdown of the Edgeworth expansion in the finite-blocklength (FBL) regime, where conventional asymptotic approximations yield unphysical negat…
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…
Exact Density Profiles of 1D Quantum Fluids in the Thomas-Fermi Limit: Geometric Hierarchy to the Tonks-Girardeau Gas
Hiroki Suyari
We present a geometric framework for 1D quantum fluids across interaction regimes in the Thomas-Fermi limit. Based on the Linearization Principle via the -logarithm, macroscopic…
Trinity of Varentropy: Finiteness, Fluctuations, and Stability in Power-Law Statistics
Hiroki Suyari
Power-law distributions are widely observed in complex systems, yet establishing their thermodynamic consistency remains a theoretical challenge. In this paper, we present a thermo…
Breakdown of Perturbative Expansions and Exact Algebraic Absorption of Finite-Size Fluctuations in Statistical Mechanics
Hiroki Suyari
In statistical mechanics, evaluating finite-size macroscopic fluctuations typically relies on Edgeworth expansions. However, these perturbative methods append additive polynomial c…
Linearization Principle: The Geometric Origin of Nonlinear Fokker-Planck Equations
Hiroki Suyari
Anomalous diffusion and power-law distributions are observed in various complex systems. To provide a consistent dynamical foundation for these phenomena, we present a geometric de…