Gillespie Markov Processes

An Introduction for Physical Scientists
1. Auflage 1991
ISBN: 978-0-08-091837-2
Verlag: Elsevier Science & Techn.
Format: EPUB
Kopierschutz: 6 - ePub Watermark

E-Book, Englisch, 592 Seiten

Markov process theory is basically an extension of ordinary calculus to accommodate functions whos time evolutions are not entirely deterministic. It is a subject that is becoming increasingly important for many fields of science. This book develops the single-variable theory of both continuous and jump Markov processes in a way that should appeal especially to physicists and chemists at the senior and graduate level. - A self-contained, prgamatic exposition of the needed elements of random variable theory - Logically integrated derviations of the Chapman-Kolmogorov equation, the Kramers-Moyal equations, the Fokker-Planck equations, the Langevin equation, the master equations, and the moment equations - Detailed exposition of Monte Carlo simulation methods, with plots of many numerical examples - Clear treatments of first passages, first exits, and stable state fluctuations and transitions - Carefully drawn applications to Brownian motion, molecular diffusion, and chemical kinetics

Autoren/Hrsg.

Gillespie, Daniel T.