1# Library to Find Best eBook for Read
Author : Ben M. Hambly
Release : 2003
Genre : Fractals
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Heat Kernel Estimates and Law of the Iterated Logarithm for Symmetric Random Walks on Fractal Graphs by : Ben M. Hambly
Download or read book Heat Kernel Estimates and Law of the Iterated Logarithm for Symmetric Random Walks on Fractal Graphs written by Ben M. Hambly. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Grigor’yan
Release : 2018-08-23
Genre : Mathematics
Kind : eBook
Book Rating : 97X/5 ( reviews)
Book Synopsis Introduction to Analysis on Graphs by : Alexander Grigor’yan
Download or read book Introduction to Analysis on Graphs written by Alexander Grigor’yan. This book was released on 2018-08-23. Available in PDF, EPUB and Kindle. Book excerpt: A central object of this book is the discrete Laplace operator on finite and infinite graphs. The eigenvalues of the discrete Laplace operator have long been used in graph theory as a convenient tool for understanding the structure of complex graphs. They can also be used in order to estimate the rate of convergence to equilibrium of a random walk (Markov chain) on finite graphs. For infinite graphs, a study of the heat kernel allows to solve the type problem—a problem of deciding whether the random walk is recurrent or transient. This book starts with elementary properties of the eigenvalues on finite graphs, continues with their estimates and applications, and concludes with heat kernel estimates on infinite graphs and their application to the type problem. The book is suitable for beginners in the subject and accessible to undergraduate and graduate students with a background in linear algebra I and analysis I. It is based on a lecture course taught by the author and includes a wide variety of exercises. The book will help the reader to reach a level of understanding sufficient to start pursuing research in this exciting area.
Author : Ben M. Hambly
Release : 2002
Genre : Fractals
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Heat Kernel Estimates for Symmetric Random Walks on a Class of Fractal Graphs and Stability Under Rough Isometries by : Ben M. Hambly
Download or read book Heat Kernel Estimates for Symmetric Random Walks on a Class of Fractal Graphs and Stability Under Rough Isometries written by Ben M. Hambly. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We examine a class of fractal graphs which arise from a subclass of finitely ramified fractals. The two-sided heat kernel estimates for these graphs are obtained in terms of an effective resistance metric and they are best possible up to constants. If the graph has symmetry, these estimates can be expressed as the usual Gaussian or sub-Gaussian estimates. However, without symmetry, the off-diagonal terms show different decay in different directions. We also discuss the stability of the sub-Gaussian heat kernel estimates under rough isometries."
Author : Motoko Kotani
Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 510/5 ( reviews)
Book Synopsis Discrete Geometric Analysis by : Motoko Kotani
Download or read book Discrete Geometric Analysis written by Motoko Kotani. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: Collects papers from the proceedings of the first symposium of the Japan Association for Mathematical Sciences. This book covers topics that center around problems of geometric analysis in relation to heat kernels, random walks, and Poisson boundaries on discrete groups, graphs, and other combinatorial objects.
Author : M. T. Barlow
Release : 2017-02-23
Genre : Mathematics
Kind : eBook
Book Rating : 425/5 ( reviews)
Book Synopsis Random Walks and Heat Kernels on Graphs by : M. T. Barlow
Download or read book Random Walks and Heat Kernels on Graphs written by M. T. Barlow. This book was released on 2017-02-23. Available in PDF, EPUB and Kindle. Book excerpt: Useful but hard-to-find results enrich this introduction to the analytic study of random walks on infinite graphs.
