Random Walk: A Modern Introduction

Gregory F. Lawler is Professor of Mathematics and Statistics at the University of Chicago. He received the George Pólya Prize in 2006 for his work with Oded Schramm and Wendelin Werner. Vlada Limic works as a researcher for Centre National de la Recherche Scientifique (CNRS) at Université de Provence, Marseilles.

• Preface; 1. Introduction; 2. Local central limit theorem; 3. Approximation by Brownian motion; 4. Green's function; 5. One-dimensional walks; 6. Potential theory; 7. Dyadic coupling; 8. Additional topics on simple random walk; 9. Loop measures; 10. Intersection probabilities for random walks; 11. Loop-erased random walk; Appendix; Bibliography; Index of symbols; Index.

'… this excellent introduction for researchers precisely presents many classical results in an excellently written and easy-to-follow manner.' Alexander Tzanov, Computing Reviews