Locally Perturbed Random Walks

Alexander Iksanov · Alexander Marynych · Andrey Pilipenko · Ihor Samoilenko

abr. del 2025 · Springer Nature

Llibre electrònic

248

Pàgines

No es verifiquen les puntuacions ni les ressenyes Més informació

Sobre aquest llibre

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.

Sobre l'autor

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.

Puntua aquest llibre electrònic

Dona'ns la teva opinió.

Informació de lectura

Telèfons intel·ligents i tauletes

Instal·la l'aplicació Google Play Llibres per a Android i per a iPad i iPhone. Aquesta aplicació se sincronitza automàticament amb el compte i et permet llegir llibres en línia o sense connexió a qualsevol lloc.

Ordinadors portàtils i ordinadors de taula

Pots escoltar els audiollibres que has comprat a Google Play amb el navegador web de l'ordinador.

Lectors de llibres electrònics i altres dispositius

Per llegir en dispositius de tinta electrònica, com ara lectors de llibres electrònics Kobo, hauràs de baixar un fitxer i transferir-lo al dispositiu. Segueix les instruccions detallades del Centre d'ajuda per transferir els fitxers a lectors de llibres electrònics compatibles.

Informa de contingut il·legal