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Author : M. Picardello
Release : 1999-11-18
Genre : Mathematics
Kind : eBook
Book Rating : 126/5 ( reviews)
Book Synopsis Random Walks and Discrete Potential Theory by : M. Picardello
Download or read book Random Walks and Discrete Potential Theory written by M. Picardello. This book was released on 1999-11-18. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and interdisciplinary text covering the interplay between random walks and structure theory.
Author : Massimo Picardello
Release : 1999
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Random Walks and Discrete Potential Theory. Cortona 1997 by : Massimo Picardello
Download or read book Random Walks and Discrete Potential Theory. Cortona 1997 written by Massimo Picardello. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Takashi Kumagai
Release : 2014-01-25
Genre : Mathematics
Kind : eBook
Book Rating : 52X/5 ( reviews)
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. This book was released on 2014-01-25. 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.
Author : M.A. Picardello
Release : 2013-11-11
Genre : Mathematics
Kind : eBook
Book Rating : 233/5 ( reviews)
Book Synopsis Harmonic Analysis and Discrete Potential Theory by : M.A. Picardello
Download or read book Harmonic Analysis and Discrete Potential Theory written by M.A. Picardello. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the Proceedings of a Congress held in Frascati (Rome) in the period July 1 -July 10, 1991, on the subject of harmonic analysis and discrete potential theory, and related topics. The Congress was made possible by the financial support of the Italian National Research Council ("Gruppo GNAFA"), the Ministry of University ("Gruppo Analisi Funzionale" of the University of Milano), the University of Rome "Tor Vergata", and was also patronized by the Centro "Vito Volterra" of the University of Rome "Tor Vergata". Financial support for publishing these Proceedings was provided by the University of Rome "Tor Vergata", and by a generous contribution of the Centro "Vito Volterra". I am happy of this opportunity to acknowledge the generous support of all these Institutions, and to express my gratitude, and that of all the participants. A number of distinguished mathematicians took part in the Congress. Here is the list of participants: M. Babillot, F. Choucroun, Th. Coulhon, L. Elie, F. Ledrappier, N. Th. Varopoulos (Paris); L. Gallardo (Brest); Ph. Bougerol, B. Roynette (Nancy); O. Gebuhrer (Strasbourg); G. Ahumada-Bustamante (Mulhouse); A. Valette (Neuchatel); P. Gerl (Salzburg); W. Hansen, H. Leptin (Bielefeld); M. Bozejko, A. Hulanicki, T. Pytlik (Wroclaw); C. Thomassen (Lyngby); P. Sjogren (Goteborg); V. Kaimanovich (Leningrad); A. Nevo (Jerusalem); T. Steger (Chicago); S. Sawyer, M. Taibleson, G. Weiss (St. Louis); J. Cohen, S.S ali ani (Maryland); D. Voiculescu (Berkeley); A. Zemanian (Stony Brook); S. Northshield (Plattsburgh); J. Taylor (Montreal); J
Author : Frank Spitzer
Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 290/5 ( reviews)
Book Synopsis Principles of Random Walk by : Frank Spitzer
Download or read book Principles of Random Walk written by Frank Spitzer. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted exclusively to a very special class of random processes, namely, to random walk on the lattice points of ordinary Euclidian space. The author considers this high degree of specialization worthwhile because the theory of such random walks is far more complete than that of any larger class of Markov chains. Almost 100 pages of examples and problems are included.
