Locally Perturbed Random Walks

Alexander Iksanov · Alexander Marynych · Andrey Pilipenko · Ihor Samoilenko

apr. 2025 · Springer Nature

E-bog

248

Sider

Bedømmelser og anmeldelser verificeres ikke Få flere oplysninger

Om denne e-bog

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.

Om forfatteren

Alexander Iksanov is Head of Operations Research Department at Taras Shevchenko National University of Kyiv. Among his main mathematical interests are Discrete Probability Theory and Stochastic Processes.

Alexander Marynych, a Ukrainian mathematician, specializes in stochastic processes and random structures, with research spanning geometry, probability, and number theory.

Andrey Pilipenko is Leading Researcher at the Institute of Mathematics, Ukrainian National Academy of Sciences, and Professor at Igor Sikorsky Kyiv Polytechnic Institute. Among his main mathematical interests are Stochastic Systems with Singularities.

Ihor Samoilenko is Professor of Operations Research Department at Taras Shevchenko National University of Kyiv. The area of his expertise includes Random Evolutions and Dynamic Systems in Random Environment.

Bedøm denne e-bog

Fortæl os, hvad du mener.

Oplysninger om læsning

Smartphones og tablets

Installer appen Google Play Bøger til Android og iPad/iPhone. Den synkroniserer automatisk med din konto og giver dig mulighed for at læse online eller offline, uanset hvor du er.

Bærbare og stationære computere

Du kan høre lydbøger, du har købt i Google Play via browseren på din computer.

e-læsere og andre enheder

Hvis du vil læse på e-ink-enheder som f.eks. Kobo-e-læsere, skal du downloade en fil og overføre den til din enhed. Følg den detaljerede vejledning i Hjælp for at overføre filerne til understøttede e-læsere.

Rapportér ulovligt indhold