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cs.IT2026
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…
cs.IT2026
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…