Random Walks on Disordered Media and their Scaling by Takashi Kumagai PAPERBACK

Name: Random Walks on Disordered Media and their Scaling by Takashi Kumagai PAPERBACK
Brand: Springer International Publishing AG

Springer International Publishing AG

Random Walks on Disordered Media and their Scaling Limitscole d't de Probabilits de Saint-Flour XL - 2010\nAuthor(s): Takashi Kumagai\nFormat: Paperback\nPublisher: Springer International Publishing AG, Switzerland\nImprint: Springer International Publishing AG\nISBN-13: 9783319031514, 978-3319031514\nSynopsis\nIn these lecture notes, we will analyze the behavior of random walk on disordered mediaby means ofboth probabilistic and analytic methods, and will study the scalinglimits. We will focus on the discrete potential theory and how the theory is effectively used in the analysis of disordered [url] few chapters of the notes can be used as an introduction to discrete potential theory.\nRecently, there has beensignificantprogress on thetheoryof random walkon disordered media such as fractals and random [url] walk on a percolation cluster(the ant in the labyrinth)is one of the typical examples. In 1986, H. Kesten showedtheanomalous behavior of a random walk on a percolation cluster at.