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Beskrivning
This monograph provides a comprehensive overview of locally perturbed random walks, tools used for their analysis, and current research on their applications.
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.
Innehållsförteckning
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.