Author : Alano Ancona
Publisher : Springer
Page : 333 pages
File Size : 24,75 MB
Release : 2007-01-05
Category : Mathematics
ISBN : 3540467181
This book contains three lectures each of 10 sessions; the first on Potential Theory on graphs and manifolds, the second on annealing and another algorithms for image reconstruction, the third on Malliavin Calculus.
Author : Alano Hennequin Paul-Louis Ancona
Publisher : Springer
Page : 344 pages
File Size : 49,91 MB
Release : 2014-01-15
Category :
ISBN : 9783662191965
Author : M. Emery
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 41,93 MB
Release : 2000-06-26
Category : Mathematics
ISBN : 9783540677369
MSC 2000: 46L10, 46L53
Author : Donald L. Burkholder
Publisher : Springer
Page : 262 pages
File Size : 43,34 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540463194
Author : F. Di Biase
Publisher : Springer Science & Business Media
Page : 158 pages
File Size : 21,39 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461223105
A basic principle governing the boundary behaviour of holomorphic func tions (and harmonic functions) is this: Under certain growth conditions, for almost every point in the boundary of the domain, these functions ad mit a boundary limit, if we approach the bounda-ry point within certain approach regions. For example, for bounded harmonic functions in the open unit disc, the natural approach regions are nontangential triangles with one vertex in the boundary point, and entirely contained in the disc [Fat06]. In fact, these natural approach regions are optimal, in the sense that convergence will fail if we approach the boundary inside larger regions, having a higher order of contact with the boundary. The first theorem of this sort is due to J. E. Littlewood [Lit27], who proved that if we replace a nontangential region with the rotates of any fixed tangential curve, then convergence fails. In 1984, A. Nagel and E. M. Stein proved that in Euclidean half spaces (and the unit disc) there are in effect regions of convergence that are not nontangential: These larger approach regions contain tangential sequences (as opposed to tangential curves). The phenomenon discovered by Nagel and Stein indicates that the boundary behaviour of ho)omor phic functions (and harmonic functions), in theorems of Fatou type, is regulated by a second principle, which predicts the existence of regions of convergence that are sequentially larger than the natural ones.
Author : Michael Cwikel
Publisher : Walter de Gruyter
Page : 473 pages
File Size : 33,69 MB
Release : 2008-08-22
Category : Mathematics
ISBN : 3110198053
This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields. Topics covered: theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, partial differential equations, Green functions, special functions, homogenization theory, Sobolev embeddings, Coxeter groups, spectral theory and wavelets. The book will be of interest to both researchers and graduate students working in interpolation theory, function spaces and operators, partial differential equations and analysis on bounded symmetric domains.
Author : Bernd Jahne
Publisher : Elsevier
Page : 703 pages
File Size : 38,56 MB
Release : 2000-05-24
Category : Computers
ISBN : 0080502628
Based on the highly successful 3-volume reference Handbook of Computer Vision and Applications, this concise edition covers in a single volume the entire spectrum of computer vision ranging form the imaging process to high-end algorithms and applications. This book consists of three parts, including an application gallery. - Bridges the gap between theory and practical applications - Covers modern concepts in computer vision as well as modern developments in imaging sensor technology - Presents a unique interdisciplinary approach covering different areas of modern science
Author : Emmanuel Gobet
Publisher : CRC Press
Page : 216 pages
File Size : 20,72 MB
Release : 2016-09-15
Category : Mathematics
ISBN : 149874625X
Developed from the author’s course at the Ecole Polytechnique, Monte-Carlo Methods and Stochastic Processes: From Linear to Non-Linear focuses on the simulation of stochastic processes in continuous time and their link with partial differential equations (PDEs). It covers linear and nonlinear problems in biology, finance, geophysics, mechanics, chemistry, and other application areas. The text also thoroughly develops the problem of numerical integration and computation of expectation by the Monte-Carlo method. The book begins with a history of Monte-Carlo methods and an overview of three typical Monte-Carlo problems: numerical integration and computation of expectation, simulation of complex distributions, and stochastic optimization. The remainder of the text is organized in three parts of progressive difficulty. The first part presents basic tools for stochastic simulation and analysis of algorithm convergence. The second part describes Monte-Carlo methods for the simulation of stochastic differential equations. The final part discusses the simulation of non-linear dynamics.
Author : Pierre de la Harpe
Publisher : University of Chicago Press
Page : 348 pages
File Size : 48,42 MB
Release : 2000-09-15
Category : Mathematics
ISBN : 9780226317212
In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades. A recognized expert in the field, de la Harpe adopts a hands-on approach, illustrating key concepts with numerous concrete examples. The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group." Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research problems in the field. An extensive list of references directs readers to more advanced results as well as connections with other fields.
Author : Nobuyuki Ikeda
Publisher : Springer Science & Business Media
Page : 425 pages
File Size : 43,31 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 4431685324
Professor Kiyosi Ito is well known as the creator of the modern theory of stochastic analysis. Although Ito first proposed his theory, now known as Ito's stochastic analysis or Ito's stochastic calculus, about fifty years ago, its value in both pure and applied mathematics is becoming greater and greater. For almost all modern theories at the forefront of probability and related fields, Ito's analysis is indispensable as an essential instrument, and it will remain so in the future. For example, a basic formula, called the Ito formula, is well known and widely used in fields as diverse as physics and economics. This volume contains 27 papers written by world-renowned probability theorists. Their subjects vary widely and they present new results and ideas in the fields where stochastic analysis plays an important role. Also included are several expository articles by well-known experts surveying recent developments. Not only mathematicians but also physicists, biologists, economists and researchers in other fields who are interested in the effectiveness of stochastic theory will find valuable suggestions for their research. In addition, students who are beginning their study and research in stochastic analysis and related fields will find instructive and useful guidance here. This volume is dedicated to Professor Ito on the occasion of his eightieth birthday as a token of deep appreciation for his great achievements and contributions. An introduction to and commentary on the scientific works of Professor Ito are also included.
