| 書目名稱 | Random Walks on Infinite Groups | | 編輯 | Steven P. Lalley | | 視頻video | http://file.papertrans.cn/822/821102/821102.mp4 | | 概述 | First textbook devoted solely to random walks on infinite, nonabelian groups.Integrated treatment of measure-theoretic probability and random walk theory.First textbook to treat Kleiner’s approach to | | 叢書名稱 | Graduate Texts in Mathematics | | 圖書封面 |  | | 描述 | .This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probability. The main objective is to show how structural features of a group, such as amenability/nonamenability, affect qualitative aspects of symmetric random walks on the group, such as transience/recurrence, speed, entropy, and existence or nonexistence of nonconstant, bounded harmonic functions. The book will be suitable as a textbook for beginning graduate-level courses or independent study by graduate students and advanced undergraduate students in mathematics with a solid grounding in measure theory and a basic familiarity with the elements of group theory. The first seven chapters could also be used as the basis for a short course?covering the main results regarding transience/recurrence, decay of return probabilities, and speed. The book has been organized and written so as to be accessible not only to students in probability theory, but also to students whose primary interests are in geometry, ergodic theory, or geometric group theory.. | | 出版日期 | Textbook 2023 | | 關(guān)鍵詞 | Random walk; Random walk textbook; Random walk on finitely generated group; Poisson boundaries of rando | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-25632-5 | | isbn_softcover | 978-3-031-25634-9 | | isbn_ebook | 978-3-031-25632-5Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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