Random Walks on Disordered Media and their Scaling Limits

Random Walks on Disordered Media and their Scaling Limits
Author :
Publisher : Springer
Total Pages : 155
Release :
ISBN-10 : 9783319031521
ISBN-13 : 331903152X
Rating : 4/5 (21 Downloads)

Book Synopsis Random Walks on Disordered Media and their Scaling Limits by : Takashi Kumagai

Download or read book Random Walks on Disordered Media and their Scaling Limits written by Takashi Kumagai and published by Springer. This book was released on 2014-01-25 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Random Walks on Disordered Media and their Scaling Limits Related Books

Random Walks on Disordered Media and their Scaling Limits
Language: en
Pages: 155
Authors: Takashi Kumagai
Categories: Mathematics
Type: BOOK - Published: 2014-01-25 - Publisher: Springer

DOWNLOAD EBOOK

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
Creative Complex Systems
Language: en
Pages: 427
Authors: Kazuo Nishimura
Categories: Business & Economics
Type: BOOK - Published: 2021-10-26 - Publisher: Springer Nature

DOWNLOAD EBOOK

In recent years, problems such as environmental and economic crises and pandemics caused by new viruses have been occurring on a global scale. Globalization bri
Random Perturbation of PDEs and Fluid Dynamic Models
Language: en
Pages: 187
Authors: Franco Flandoli
Categories: Mathematics
Type: BOOK - Published: 2011-03-02 - Publisher: Springer

DOWNLOAD EBOOK

The book deals with the random perturbation of PDEs which lack well-posedness, mainly because of their non-uniqueness, in some cases because of blow-up. The aim
From Classical Analysis to Analysis on Fractals
Language: en
Pages: 294
Authors: Patricia Alonso Ruiz
Categories: Mathematics
Type: BOOK - Published: 2023-11-25 - Publisher: Springer Nature

DOWNLOAD EBOOK

Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in
Topics in Occupation Times and Gaussian Free Fields
Language: en
Pages: 128
Authors: Alain-Sol Sznitman
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: European Mathematical Society

DOWNLOAD EBOOK

This book grew out of a graduate course at ETH Zurich during the spring 2011 term. It explores various links between such notions as occupation times of Markov