Local limit theorems in some random models from number theory

DOI10.1080/07362994.2016.1191994zbMath1350.60018arXiv1502.05939OpenAlexW2159045005MaRDI QIDQ2830709

Rita Giuliano, Michel J. G. Weber

Publication date: 28 October 2016

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.05939

zbMATH Keywords

independent random variablesrandom walkrandom scenerylocal limit theoremBernoulli variableseffective remainderalmost sure local limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Processes in random environments (60K37) Elementary theory of partitions (11P81)

Related Items (2)

On the local limit theorems for psi-mixing Markov chains ⋮ Almost sure local limit theorem for the Dickman distribution

Cites Work

• Unnamed Item
• Unnamed Item
• Almost sure local limit theorem for the Dickman distribution
• On representation problems in the additive number theory
• Approximate local limit theorems with effective rate and application to random walks in random scenery
• Small divisors of Bernoulli sums
• Almost Sure Local Limit Theorems with Rate
• Quickselect and the Dickman Function
• On a Lower Bound for the Convergence Rate in a Local Limit Theorem
• The Poisson–Dirichlet Distribution and the Scale-Invariant Poisson Process
• On the Representation of Integers as Sums of Distinct Terms from a Fixed Sequence
• Analytic Inequalities

This page was built for publication: Local limit theorems in some random models from number theory