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Locally Perturbed Random Walks / / by Alexander Iksanov, Alexander Marynych, Andrey Pilipenko, Ihor Samoilenko



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Autore: Iksanov Alexander Visualizza persona
Titolo: Locally Perturbed Random Walks / / by Alexander Iksanov, Alexander Marynych, Andrey Pilipenko, Ihor Samoilenko Visualizza cluster
Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025
Edizione: 1st ed. 2025.
Descrizione fisica: 1 online resource (XIV, 248 p. 5 illus., 2 illus. in color.)
Disciplina: 519.2
Soggetto topico: Probabilities
Probability Theory
Applied Probability
Camps aleatoris
Pertorbació (Matemàtica)
Soggetto genere / forma: Llibres electrònics
Persona (resp. second.): MarynychAlexander
PilipenkoAndrey
SamoilenkoIhor
Nota di contenuto: Chapter 1: Introduction -- Chapter 2: L´evy-type processes with singularities -- Chapter 3: Functional limit theorems for locally perturbed random walks -- Chapter 4: Auxiliary results.
Sommario/riassunto: This monograph provides a comprehensive overview of locally perturbed random walks, tools used for their analysis, and current research on their applications. The authors present the material in a self-contained manner, providing strong motivation in Chapter One with illustrative examples of locally perturbed random walks and an introduction of the mathematical tools that are used throughout the book. Chapter Two shows the construction of various stochastic processes that serve as scaling limits for locally perturbed random walks, particularly focusing on reflected and skewed processes. In Chapter Three, the authors prove various limit theorems for these perturbed random walks. The final chapter serves as an appendix that collects essential background material for readers who wish to understand the arguments more deeply. Locally Perturbed Random Walks will appeal to researchers interested in this area within modern probability theory. It is also accessible to students who have taken a second course in probability.
Titolo autorizzato: Locally Perturbed Random Walks  Visualizza cluster
ISBN: 3-031-83919-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910999664303321
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Serie: Frontiers in Mathematics, . 1660-8054