Description: Unbounded Experience In Random Walks With Applications, AnAuthor(s): Michael F Shlesinger Format: Hardback Publisher: World Scientific Publishing Co Pte Ltd, Singapore Imprint: World Scientific Publishing Co Pte Ltd ISBN-13: 9789811232800, 978-9811232800 Synopsis This volume comprises the author's account of the development of novel results in random walk theory and its applications during the fractal and chaos revolutions. The early history of probability is presented in an engaging manner, and peppered with pitfalls and paradoxes. Readers will find the introduction of Paul L?vy's work via Mandelbrot's L?vy flights which are featured uniquely as Weierstrass and Riemann random [url] to coupled memories, internal states and fractal time are introduced at the level for graduate students. Mathematical developments are explained including Green's functions, inverse Mellin transforms, Jacobians, and matrix methods. Applications are made to anomalous diffusion and conductivity in amorphous semiconductors and supercooled liquids. The glass transition is discussed especially for pressure [url] along the way, personal stories are recounted and special appreciations are made to Elliott Montroll and Harvey Scher for their ever-expanding influence on the field of non-equilibrium anomalous processes that now are found in topics including disordered materials, water table processes, animal foraging, blinking quantum dots, rotating flows, optical lattices, dynamical strange attractors and strange kinetics.
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Book Title: Unbounded Experience In Random Walks With Applications, An
Publication Name: Unbounded Experience in Random Walks with Applications, an
Format: Hardcover
Language: English
Publisher: World Industries Scientific Publishing Co Pte LTD
Subject: Mathematics
Publication Year: 2021
Type: Textbook
Author: Michael F Shlesinger
Number of Pages: 216 Pages