Local Limit Theorem for Complex Valued Sequences - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2022

Local Limit Theorem for Complex Valued Sequences

Abstract

In this article, we study the pointwise asymptotic behavior of iterated convolutions on the one dimensional lattice Z. We generalize the so-called local limit theorem in probability theory to complex valued sequences. A sharp rate of convergence towards an explicitly computable attractor is proved together with a generalized Gaussian bound for the asymptotic expansion up to any order of the iterated convolution.
Fichier principal
Vignette du fichier
Coeuret_2022_locLimTh.pdf (977.17 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03463375 , version 1 (09-12-2021)
hal-03463375 , version 2 (15-11-2022)

Identifiers

Cite

Lucas Coeuret. Local Limit Theorem for Complex Valued Sequences. 2022. ⟨hal-03463375v2⟩
192 View
79 Download

Altmetric

Share

Gmail Facebook X LinkedIn More