Complementary asymptotic analysis for a minimal random walk
We discuss a complementary asymptotic analysis of the so called minimal random walk. More precisely, we present a version of the almost sure central limit theorem as well as a generalization of the recently proposed quadratic strong laws. In addition, alternative demonstrations of the functional limit theorems will be supplied based on a Pólya urn scheme instead of a martingale approach.
Authors
- Manuel González-Navarrete (ORCID: https://orcid.org/0000-0003-3711-9913)
- Víctor Vázquez (ORCID: https://orcid.org/0000-0001-6602-8733)
- Cristian F. Coletti (ORCID: https://orcid.org/0000-0002-4302-8850)
Institutions
- Universidad de La Frontera (CL)
- Universidade Federal do ABC (BR)
- Benemérita Universidad Autónoma de Puebla (MX)
Publication Details
- Journal
- Journal of Mathematical Physics
- Published
- 2025-05-01
- DOI
- https://doi.org/10.1063/5.0239192
- Primary Topic
- Stochastic processes and statistical mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Fondo Nacional de Desarrollo Científico y Tecnológico