Description
Book SynopsisGives an introduction to the theory of symmetric Markov processes and symmetric quasi-regular Dirichlet forms. This title covers the essential elements and applications of the theory of symmetric Markov processes, including recurrence/transience criteria, probabilistic potential theory, additive functional theory, and time change theory.
Trade Review"This book is an extremely valuable contribution to the literature on symmetric Markov processes and Dirichlet forms and will certainly become a classic reference in the field."--Zoran Vondracek, Mathematical Reviews "This monograph is written very carefully. In summary, it is an ideal resource for researchers and very advanced graduate students in the field of Dirichlet forms and Hunt processes."--Michael Voit, Zentralblatt MATH "The presentation is comprehensive and self contained though it requires solid previous knowledge on theoretic probability together with some notions on measure theory and functional analysis. The volume can serve as textbook for graduate students or as a reference for researchers on the field."--Marco Castrillon Lopez, European Mathematical Society
Table of Contents*FrontMatter, pg. i*Contents, pg. vii*Notation, pg. ix*Preface, pg. xi*Chapter One. Symmetric Markovian Semigroups and Dirichlet Forms, pg. 1*Chapter Two. Basic Properties and Examples of Dirichlet Forms, pg. 37*Chapter Three. Symmetric Hunt Processes and Regular Dirichlet Forms, pg. 92*Chapter Four. Additive Functionals of Symmetric Markov Processes, pg. 130*Chapter Five. Time Changes of Symmetric Markov Processes, pg. 166*Chapter Six. Reflected Dirichlet Spaces, pg. 240*Chapter Seven. Boundary Theory for Symmetric Markov Processes, pg. 300*Appendix A. Essentials of Markov Processes, pg. 391*Appendix B. Solutions To Exercises, pg. 443*Notes, pg. 451*Bibliography, pg. 457*Catalogue Of Some Useful Theorems, pg. 467*Index, pg. 473
