| 书目名称 | Random Walks on Disordered Media and their Scaling Limits |
| 副标题 | École d‘Été de Proba |
| 编辑 | Takashi Kumagai |
| 视频video | |
| 概述 | Starts from basics on discrete potential theory.Contains many interesting examples of disordered media with anomalous heat conduction.Anomalous behavior of random walk at criticality on random media.C |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .In these lecture notes, we will analyze the behavior of random walk on disordered media by means of both probabilistic and analytic methods, and will study the scaling limits. We will focus on the discrete potential theory and how the theory is effectively used in the analysis of disordered media. The first few chapters of the notes can be used as an introduction to discrete potential theory..Recently, there has been significant progress on the theory of random walk on disordered media such as fractals and random media. Random walk on a percolation cluster(‘the ant in the labyrinth’)is one of the typical examples. In 1986, H. Kesten showed the anomalous behavior of a random walk on a percolation cluster at critical probability. Partly motivated by this work, analysis and diffusion processes on fractals have been developed since the late eighties. As a result, various new methods have been produced to estimate heat kernels on disordered media. These developments are summarized in the notes.. |
| 出版日期 | Book 2014 |
| 关键词 | 60-xx,35K05,05C81,82B43,80M40; Heat kernel estimates; Homogenization; Markov chain; Percolation; Random m |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-03152-1 |
| isbn_softcover | 978-3-319-03151-4 |
| isbn_ebook | 978-3-319-03152-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer International Publishing Switzerland 2014 |
发表于 2025-3-21 17:05:45
