Weak convergence of the Lazy Random Walk to the Brownian motion Autors/ores Salim Boukfal Lazaar Universitat Autònoma de Barcelona DOI: 10.2436/20.2002.02.34 Paraules clau: weak convergence, Brownian motion, Wiener measure, Lazy Random Walk Resum En aquest article considerem una modificació del passeig aleatori simple, el Lazy Random Walk, i construïm una família de processos estocàstics a partir d’aquest procés que convergeix feblement cap a un moviment Brownia estàndard en una dimensió. Descàrregues Les dades de descàrrega encara no estan disponibles. Descàrregues PDF (English) Publicat 2024-01-26 Com citar Boukfal Lazaar, S. (2024). Weak convergence of the Lazy Random Walk to the Brownian motion. Reports@SCM, 8(1), 11–19. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/151016 Més formats de citació ACM ACS APA ABNT Chicago Harvard IEEE MLA Turabian Vancouver Descarregar citació Endnote/Zotero/Mendeley (RIS) BibTeX Número Vol. 8 Núm. 1 (2023) Secció Articles Llicència The intellectual property of articles belongs to the respective authors.On submitting articles for publication to the journal Reports@SCM, authors accept the following terms:Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to Reports@SCM.Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.The journal Reports@SCM is not responsible for the ideas and opinions expressed by the authors of the published articles.