TY - BOOK AU - Chung,Kai Lai AU - Walsh,John B. ED - SpringerLink (Online service) TI - Markov Processes, Brownian Motion, and Time Symmetry T2 - Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, SN - 9780387286969 U1 - 519.2 23 PY - 2005/// CY - New York, NY PB - Springer New York KW - MATHEMATICS KW - DISTRIBUTION (PROBABILITY THEORY) KW - PROBABILITY THEORY AND STOCHASTIC PROCESSES N1 - Markov Process -- Basic Properties -- Hunt Process -- Brownian Motion -- Potential Developments -- Generalities -- Markov Chains: a Fireside Chat -- Ray Processes -- Application to Markov Chains -- Time Reversal -- h-Transforms -- Death and Transfiguration: A Fireside Chat -- Processes in Duality -- The Martin Boundary -- The Basis of Duality: A Fireside Chat N2 - From the reviews of the First Edition: "This excellent book is based on several sets of lecture notes written over a decade and has its origin in a one-semester course given by the author at the ETH, Zürich, in the spring of 1970. The author's aim was to present some of the best features of Markov processes and, in particular, of Brownian motion with a minimum of prerequisites and technicalities. The reader who becomes acquainted with the volume cannot but agree with the reviewer that the author was very successful in accomplishing this goal...The volume is very useful for people who wish to learn Markov processes but it seems to the reviewer that it is also of great interest to specialists in this area who could derive much stimulus from it. One can be convinced that it will receive wide circulation." (Mathematical Reviews) This new edition contains 9 new chapters which include new exercises, references, and multiple corrections throughout the original text UR - http://dx.doi.org/10.1007/0-387-28696-9 ER -