Elements of Random Walk and Diffusion Processes

Autor:	Oliver C. Ibe
EAN:	9781118617939
eBook Format:	ePUB
Sprache:	Englisch
Produktart:	eBook
Veröffentlichungsdatum:	29.08.2013
Kategorie:	Technik / Wissen
Schlagworte:	Applied Probability & Statistics Brownian motion Levy motion calculus diffusion processes fractional calculus mathematics percolation theory random motion random walk theory statistics stochastic calculus stochastic processes

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Featuring an introduction to stochastic calculus, this book uniquely blends diffusion equations and random walk theory and provides an interdisciplinary approach by including numerous practical examples and exercises with real-world applications in operations research, economics, engineering, and physics. It covers standard methods and applications of Brownian motion and discusses Levy motion; addresses fractional calculus; introduces percolation theory and its relationship to diffusion processes; and more.

OLIVER C. IBE, ScD, is Associate Professor in the Department of Electrical and Computer Engineering at the University of Massachusetts at Lowell. He has more than thirty years of experience in academia and the telecommunications industry in various technical and management capacities. Dr. Ibe's research interests include stochastic systems modeling, bioinformatics, and communication network performance modeling. He is the author of Converged Network Architectures: Delivering Voice over IP, ATM, and Frame Relay and Fundamentals of Stochastic Networks, both published by Wiley.