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Informationen zum Autor Martin T. Barlow is Professor in the Mathematics Department at the University of British Columbia. He was one of the founders of the mathematical theory of diffusions on fractals, and more recently has worked on random walks on random graphs. He gave a talk at the International Congress of Mathematicians (ICM) in 1990, and was elected a Fellow of the Royal Society of Canada in 1998 and a Fellow of the Royal Society in 2005. He is the winner of the Jeffrey-Williams Prize of the Canadian Mathematical Society and the CRM-Fields-PIMS Prize of the three Canadian mathematics institutes (the Centre de recherches mathématiques, the Fields Institute, and the Pacific Institute for the Mathematical Sciences). Klappentext Useful but hard-to-find results enrich this introduction to the analytic study of random walks on infinite graphs. Zusammenfassung This introduction to random walks on infinite graphs! in both discrete and continuous time! gives a systematic account of transition densities! including useful but hard-to-find results. The book is aimed at researchers and graduate students in mathematics who have a basic familiarity with analysis and some familiarity with probability. Inhaltsverzeichnis Preface; 1. Introduction; 2. Random walks and electrical resistance; 3. Isoperimetric inequalities and applications; 4. Discrete time heat kernel; 5. Continuous time random walks; 6. Heat kernel bounds; 7. Potential theory and Harnack inequalities; Appendix A; References; Index.
