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Author : Richard Durrett,Mark A. Pinsky
Publisher : American Mathematical Soc.
Page : 354 pages
File Size : 42,5 Mb
Release : 1988
Category : Mathematics
ISBN : 0821854119
Author : Mark A. Pinsky,AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Geometry of Random Motion
Publisher : American Mathematical Soc.
Page : 337 pages
File Size : 43,9 Mb
Release : 1988
Category : Mathematics
ISBN : 9780821850817
In July 1987, an AMS-IMS-SIAM Joint Summer Research Conference on Geometry of Random Motion was held at Cornell University. The initial impetus for the meeting came from the desire to further explore the now-classical connection between diffusion processes and second-order (hypo)elliptic differential operators. To accomplish this goal, the conference brought together leading researchers with varied backgrounds and interests: probabilists who have proved results in geometry, geometers who have used probabilistic methods, and probabilists who have studied diffusion processes. Focusing on the interplay between probability and differential geometry, this volume examines diffusion processes on various geometric structures, such as Riemannian manifolds, Lie groups, and symmetric spaces. Some of the articles specifically address analysis on manifolds, while others center on (nongeometric) stochastic analysis. The majority of the articles deal simultaneously with probabilistic and geometric techniques. Requiring a knowledge of the modern theory of diffusion processes, this book will appeal to mathematicians, mathematical physicists, and other researchers interested in Brownian motion, diffusion processes, Laplace-Beltrami operators, and the geometric applications of these concepts. The book provides a detailed view of the leading edge of research in this rapidly moving field.
Author : Robert J. Adler
Publisher : SIAM
Page : 295 pages
File Size : 51,8 Mb
Release : 2010-01-28
Category : Mathematics
ISBN : 9780898716931
An important treatment of the geometric properties of sets generated by random fields, including a comprehensive treatment of the mathematical basics of random fields in general. It is a standard reference for all researchers with an interest in random fields, whether they be theoreticians or come from applied areas.
Author : Stefan Haesen,Leopold Verstraelen
Publisher : Springer
Page : 284 pages
File Size : 47,5 Mb
Release : 2016-12-21
Category : Mathematics
ISBN : 9789462392403
A variety of introductory articles is provided on a wide range of topics, including variational problems on curves and surfaces with anisotropic curvature. Experts in the fields of Riemannian, Lorentzian and contact geometry present state-of-the-art reviews of their topics. The contributions are written on a graduate level and contain extended bibliographies. The ten chapters are the result of various doctoral courses which were held in 2009 and 2010 at universities in Leuven, Serbia, Romania and Spain.
Author : G. Ranganath
Publisher : Universities Press
Page : 166 pages
File Size : 43,5 Mb
Release : 2002
Category : Electronic
ISBN : 8173714010
This book dwells upon intriguing examples and situations that are not generally analysed or discussed in standard textbook and formal couses in physics. In this book, a majority of the examples are from classical physics, which forms an essential part of our education. Each of the six chapters covers a major area of physics, and is subdivided into sections, each of which has a runing theme.
Author : Robert Dalang,Marco Dozzi,Francesco Russo
Publisher : Springer Science & Business Media
Page : 519 pages
File Size : 42,6 Mb
Release : 2008-03-12
Category : Mathematics
ISBN : 9783764384586
This volume contains refereed research or review papers presented at the 5th Seminar on Stochastic Processes, Random Fields and Applications, which took place at the Centro Stefano Franscini (Monte Verità) in Ascona, Switzerland, from May 29 to June 3, 2004. The seminar focused mainly on stochastic partial differential equations, stochastic models in mathematical physics, and financial engineering.
Author : Matthias Keller,Daniel Lenz,Radoslaw K. Wojciechowski
Publisher : Cambridge University Press
Page : 493 pages
File Size : 46,6 Mb
Release : 2020-08-20
Category : Mathematics
ISBN : 9781108713184
A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.
Author : S.-Y. Cheng,H. Choi
Publisher : American Mathematical Soc.
Page : 338 pages
File Size : 52,5 Mb
Release : 1989
Category : Mathematics
ISBN : 9780821851074
This volume is the outgrowth of a Special Session on Geometry, held at the November 1987 meeting of the AMS at the University of California at Los Angeles. The unusually well-attended session attracted more than sixty participants and featured over forty addresses by some of the day's outstanding geometers. By common consent, it was decided that the papers to be collected in the present volume should be surveys of relatively broad areas of geometry, rather than detailed presentations of new research results. A comprehensive survey of the field is beyond the scope of a volume such as this. Nonetheless, the editors have sought to provide all geometers, whatever their specialties, with some insight into recent developments in a variety of topics in this active area of research.
Author : Jerome Kaminker,American Mathematical Society,Institute of Mathematical Statistics,Society for Industrial and Applied Mathematics
Publisher : American Mathematical Soc.
Page : 297 pages
File Size : 45,9 Mb
Release : 1990
Category : Mathematics
ISBN : 9780821851128
This volume contains the proceedings of the AMS-IMS-SIAM Summer Research Conference on ``Geometric and Topological Invariants of Elliptic Operators,'' held in August 1988 at Bowdoin College. Some of the themes covered at the conference and appearing in the articles are: the use of more sophisticated asymptotic methods to obtain index theorems, the study of the $\eta$ invariant and analytic torsion, and index theory on open manifolds and foliated manifolds. The current state of noncommutative differential geometry, as well as operator algebraic and $K$-theoretic methods, are also presented in several the articles. This book will be useful to researchers in index theory, operator algebras, foliations, and mathematical physics. Topologists and geometers are also likely to find useful the view the book provides of recent work in this area. In addition, because of the expository nature of several of the articles, it will be useful to graduate students interested in working in these areas.
Author : Christoph Bandt,Umberto Mosco,Martina Zähle
Publisher : Birkhäuser
Page : 265 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034878913
This up-to-date monograph, providing an up-to-date overview of the field of Hepatitis Prevention and Treatment, includes contributions from internationally recognized experts on viral hepatitis, and covers the current state of knowledge and practice regarding the molecular biology, immunology, biochemistry, pharmacology and clinical aspects of chronic HBV and HCV infection. The book provides the latest information, with sufficient background and discussion of the literature to benefit the newcomer to the field.
Author : Debasish Roy,G Visweswara Rao
Publisher : CRC Press
Page : 525 pages
File Size : 55,7 Mb
Release : 2024-01-25
Category : Technology & Engineering
ISBN : 9781000914443
This comprehensive textbook covers both classical and geometric aspects of optimization using methods, deterministic and stochastic, in a single volume and in a language accessible to non-mathematicians. It will help serve as an ideal study material for senior undergraduate and graduate students in the fields of civil, mechanical, aerospace, electrical, electronics, and communication engineering. The book includes: Derivative-based Methods of Optimization. Direct Search Methods of Optimization. Basics of Riemannian Differential Geometry. Geometric Methods of Optimization using Riemannian Langevin Dynamics. Stochastic Analysis on Manifolds and Geometric Optimization Methods. This textbook comprehensively treats both classical and geometric optimization methods, including deterministic and stochastic (Monte Carlo) schemes. It offers an extensive coverage of important topics including derivative-based methods, penalty function methods, method of gradient projection, evolutionary methods, geometric search using Riemannian Langevin dynamics and stochastic dynamics on manifolds. The textbook is accompanied by online resources including MATLAB codes which are uploaded on our website. The textbook is primarily written for senior undergraduate and graduate students in all applied science and engineering disciplines and can be used as a main or supplementary text for courses on classical and geometric optimization.
Author : Richard Kautz
Publisher : Oxford University Press
Page : 384 pages
File Size : 55,7 Mb
Release : 2011
Category : Mathematics
ISBN : 9780199594573
One CD-ROM disc in pocket.
Author : Matthias Keller,Daniel Lenz,Radosław K. Wojciechowski
Publisher : Springer Nature
Page : 675 pages
File Size : 42,7 Mb
Release : 2021-10-22
Category : Mathematics
ISBN : 9783030814595
The spectral geometry of infinite graphs deals with three major themes and their interplay: the spectral theory of the Laplacian, the geometry of the underlying graph, and the heat flow with its probabilistic aspects. In this book, all three themes are brought together coherently under the perspective of Dirichlet forms, providing a powerful and unified approach. The book gives a complete account of key topics of infinite graphs, such as essential self-adjointness, Markov uniqueness, spectral estimates, recurrence, and stochastic completeness. A major feature of the book is the use of intrinsic metrics to capture the geometry of graphs. As for manifolds, Dirichlet forms in the graph setting offer a structural understanding of the interaction between spectral theory, geometry and probability. For graphs, however, the presentation is much more accessible and inviting thanks to the discreteness of the underlying space, laying bare the main concepts while preserving the deep insights of the manifold case. Graphs and Discrete Dirichlet Spaces offers a comprehensive treatment of the spectral geometry of graphs, from the very basics to deep and thorough explorations of advanced topics. With modest prerequisites, the book can serve as a basis for a number of topics courses, starting at the undergraduate level.
Author : Alice Guionnet
Publisher : Springer
Page : 294 pages
File Size : 51,9 Mb
Release : 2009-04-20
Category : Mathematics
ISBN : 9783540698975
Random matrix theory has developed in the last few years, in connection with various fields of mathematics and physics. These notes emphasize the relation with the problem of enumerating complicated graphs, and the related large deviations questions. Such questions are also closely related with the asymptotic distribution of matrices, which is naturally defined in the context of free probability and operator algebra. The material of this volume is based on a series of nine lectures given at the Saint-Flour Probability Summer School 2006. Lectures were also given by Maury Bramson and Steffen Lauritzen.
Author : Daniel Lenz,Florian Sobieczky,Wolfgang Woess
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 49,9 Mb
Release : 2011-06-16
Category : Mathematics
ISBN : 9783034602440
These proceedings represent the current state of research on the topics 'boundary theory' and 'spectral and probability theory' of random walks on infinite graphs. They are the result of the two workshops held in Styria (Graz and St. Kathrein am Offenegg, Austria) between June 29th and July 5th, 2009. Many of the participants joined both meetings. Even though the perspectives range from very different fields of mathematics, they all contribute with important results to the same wonderful topic from structure theory, which, by extending a quotation of Laurent Saloff-Coste, could be described by 'exploration of groups by random processes'.
