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تعداد نتایج: 1077

Heat Kernel and Analysis on Manifolds

$"This volume contains the expanded lecture notes of courses taught at the Emile Borel Centre of the Henri Poincaré Institute (Paris). In the book, leading experts introduce recent research in their fields. The unifying theme is the study of heat kernels in various situations using related geometric and analytic tools. Topics include analysis of complex-coefficient elliptic operators, diffusions on fractals and on infinite-dimensional groups, heat kernel and isoperimetry on Riemannian manifolds, heat kernels and infinite dimensional analysis, diffusions and Sobolev-type spaces on metric spaces, quasi-regular mappings and p -Laplace operators, heat kernel and spherical inversion on SL 2 (C) , random walks and spectral geometry on crystal lattices, isoperimetric and isocapacitary inequalities, and generating function techniques for random walks on graphs."--Publisher's website.$

جزئیات و درخواست

By Alexander Grigoryan
Publisher: American Mathematical Soc., 2009
Pages: 504
Language: en
ISBN_13:9780821849354
ISBN_10:0821849352
Subject: Mathematics

Special Functions, Partial Differential Equations, and Harmonic Analysis

In Honor of Calixto P. Calderón

جزئیات و درخواست

By Constantine Georgakis, Alexander M. Stokolos, Wilfredo Urbina
Publisher: Springer, 2014-11-07
Pages: 248
Language: en
ISBN_13:9783319105451
ISBN_10:3319105450
Subject: Mathematics

Isoperimetric Inequalities

Differential Geometric and Analytic Perspectives

جزئیات و درخواست

By Isaac Chavel
Publisher: Cambridge University Press, 2001-07-23
Pages: 292
Language: en
ISBN_10:0521802679
ISBN_13:9780521802673
Subject: Mathematics

Fractals in Graz 2001

Analysis — Dynamics — Geometry — Stochastics

$This book contains the proceedings of the conference "Fractals in Graz 2001 - Analysis, Dynamics, Geometry, Stochastics" that was held in the second week of June 2001 at Graz University of Technology, in the capital of Styria, southeastern province of Austria. The scientific committee of the meeting consisted of M. Barlow (Vancouver), R. Strichartz (Ithaca), P. Grabner and W. Woess (both Graz), the latter two being the local organizers and editors of this volume. We made an effort to unite in the conference as well as in the present pro ceedings a multitude of different directions of active current work, and to bring together researchers from various countries as well as research fields that all are linked in some way with the modern theory of fractal structures. Although (or because) in Graz there is only a very small group working on fractal structures, consisting of "non-insiders", we hope to have been successful with this program of wide horizons. All papers were written upon explicit invitation by the editors, and we are happy to be able to present this representative panorama of recent work on poten tial theory, random walks, spectral theory, fractal groups, dynamic systems, fractal geometry, and more. The papers presented here underwent a refereeing process.$

جزئیات و درخواست

By Peter Grabner, Wolfgang Woess
Publisher: Birkhäuser, 2012-12-06
Pages: 288
Language: en
ISBN_13:9783034880145
ISBN_10:3034880146
Subject: Mathematics

Handbook of Global Analysis

جزئیات و درخواست

By Demeter Krupka, David Saunders
Publisher: Elsevier, 2011-08-11
Pages: 1243
Language: en
ISBN_13:9780080556734
ISBN_10:0080556736
Subject: Mathematics

Functional Analytic Methods for Evolution Equations

جزئیات و درخواست

By Giuseppe Da Prato, Peer Christian Kunstmann, Irena Lasiecka, Alessandra Lunardi, Roland Schnaubelt
Publisher: Springer, 2004-08-30
Pages: 478
Language: en
ISBN_13:9783540446538
ISBN_10:3540446532
Subject: Mathematics

Fractal Geometry and Stochastics IV

$Over the last fifteen years fractal geometry has established itself as a substantial mathematical theory in its own right. The interplay between fractal geometry, analysis and stochastics has highly influenced recent developments in mathematical modeling of complicated structures. This process has been forced by problems in these areas related to applications in statistical physics, biomathematics and finance. This book is a collection of survey articles covering many of the most recent developments, like Schramm-Loewner evolution, fractal scaling limits, exceptional sets for percolation, and heat kernels on fractals. The authors were the keynote speakers at the conference "Fractal Geometry and Stochastics IV" at Greifswald in September 2008.$

جزئیات و درخواست

By Christoph Bandt, Peter Mörters, Martina Zähle
Publisher: Springer Science & Business Media, 2010-01-08
Pages: 292
Language: en
ISBN_13:9783034600309
ISBN_10:3034600305
Subject: Mathematics

Discrete Geometric Analysis

Proceedings of the First JAMS Symposium on Discrete Geometri...

جزئیات و درخواست

By Motoko Kotani
Publisher: American Mathematical Soc., 2004
Pages: 274
Language: en
ISBN_13:9780821833513
ISBN_10:0821833510
Subject: Mathematics

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot

$This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.$

جزئیات و درخواست

By Michel Laurent Lapidus, Machiel Van Frankenhuysen
Publisher: American Mathematical Soc., 2004
Pages: 592
Language: en
ISBN_13:9780821836385
ISBN_10:0821836382
Subject: Mathematics

Recent Developments in Stochastic Analysis and Related Topics

Proceedings of the First Sino-German Conference on Stochasti...

جزئیات و درخواست

By Sergio Albeverio, Zhi-Ming Ma, Michael Rckner
Publisher: World Scientific, 2004
Pages: 476
Language: en
ISBN_10:9812702245
ISBN_13:9789812702241
Subject: Mathematics

Analysis on Graphs and Its Applications

Isaac Newton Institute for Mathematical Sciences, Cambridge,...

$This book addresses a new interdisciplinary area emerging on the border between various areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus here is on problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. Also included are such diverse topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wiresystems, carbon nano-structures, metal-insulator transition, computer vision, and communication networks.This volume contains a unique collection of expert reviews on the main directions in analysis on graphs (e.g., on discrete geometric analysis, zeta-functions on graphs, recently emerging connections between the geometric group theory and fractals, quantum graphs, quantum chaos on graphs, modeling waveguide systems and modeling quantum graph systems with waveguides, control theory on graphs), as well as research articles.$

جزئیات و درخواست

By Pavel Exner
Publisher: American Mathematical Soc., 2008
Pages: 721
Language: en
ISBN_13:9780821844717
ISBN_10:0821844717
Subject: Mathematics

Analytical and Numerical Aspects of Partial Differential Equations

Notes of a Lecture Series

جزئیات و درخواست

By Etienne Emmrich, Petra Wittbold
Publisher: Walter de Gruyter, 2009
Pages: 297
Language: en
ISBN_13:9783110204476
ISBN_10:3110204479
Subject: Differential equations, Partial

Differential Geometry: Riemannian Geometry

جزئیات و درخواست

By Robert Everist Greene, Shing-Tung Yau
Publisher: American Mathematical Soc., 1993
Pages: 735
Language: en
ISBN_13:9780821814963
ISBN_10:0821814966
Subject: Mathematics

Random Walks on Disordered Media and their Scaling Limits

École d'Été de Probabilités de Saint-Flour XL - 2010

$In these lecture notes, we will analyze the behavior of random walk on disordered media by means of both probabilistic and analytic methods, and will study the scaling limits. We will focus on the discrete potential theory and how the theory is effectively used in the analysis of disordered media. The first few chapters of the notes can be used as an introduction to discrete potential theory. Recently, there has been significant progress on the theory of random walk on disordered media such as fractals and random media. Random walk on a percolation cluster(‘the ant in the labyrinth’)is one of the typical examples. In 1986, H. Kesten showed the anomalous behavior of a random walk on a percolation cluster at critical probability. Partly motivated by this work, analysis and diffusion processes on fractals have been developed since the late eighties. As a result, various new methods have been produced to estimate heat kernels on disordered media. These developments are summarized in the notes.$

جزئیات و درخواست

By Takashi Kumagai
Publisher: Springer, 2014-01-25
Pages: 155
Language: en
ISBN_13:9783319031521
ISBN_10:331903152X
Subject: Mathematics

Spectral Theory and Geometry

جزئیات و درخواست

By E. Brian Davies, Yu Safarov, London Mathematical Society, International Centre for Mathematical Sciences
Publisher: Cambridge University Press, 1999-09-30
Pages: 344
Language: en
ISBN_13:9780521777490
ISBN_10:0521777496
Subject: Mathematics

Some Novel Types of Fractal Geometry

$This book deals with fractal geometries that have features similar to ones of ordinary Euclidean spaces, while at the same time being quite different from Euclidean spaces.. A basic example of this feature considered is the presence of Sobolev or Poincaré inequalities, concerning the relationship between the average behavior of a function and the average behavior of its small-scale oscillations. Remarkable results in the last few years through Bourdon-Pajot and Laakso have shown that there is much more in the way of geometries like this than have been realized, only examples related to nilpotent Lie groups and Carnot metrics were known previously. On the other had, 'typical' fractals that might be seen in pictures do not have these same kinds of features. This text examines these topics in detail and will interest graduate students as well as researchers in mathematics and various aspects of geometry and analysis.$

جزئیات و درخواست

By Stephen Semmes
Publisher: Oxford University Press, 2001
Pages: 180
Language: en
ISBN_10:0198508069
ISBN_13:9780198508069
Subject: Mathematics

Analytic Methods in Interdisciplinary Applications

$The book includes lectures given by the plenary and key speakers at the 9th International ISAAC Congress held 2013 in Krakow, Poland. The contributions treat recent developments in analysis and surrounding areas, concerning topics from the theory of partial differential equations, function spaces, scattering, probability theory, and others, as well as applications to biomathematics, queueing models, fractured porous media and geomechanics.$

جزئیات و درخواست

By Vladimir V. Mityushev, Michael Ruzhansky
Publisher: Springer, 2014-11-20
Pages: 189
Language: en
ISBN_13:9783319121482
ISBN_10:3319121480
Subject: Mathematics

European Congress of Mathematics

Barcelona, July 10–14, 2000, Volume I

جزئیات و درخواست

By Carles Casacuberta, Rosa Maria Miro-Roig, Joan Verdera, Sebastia Xambo-Descamps
Publisher: Birkhäuser, 2012-12-06
Pages: 611
Language: en
ISBN_13:9783034882682
ISBN_10:3034882688
Subject: Mathematics

Harmonic Analysis and Partial Differential Equations

8th International Conference on Harmonic Analysis and Partia...

جزئیات و درخواست

By Patricio Cifuentes
Publisher: American Mathematical Soc., 2010-01-14
Pages: 258
Language: en
ISBN_13:9780821847701
ISBN_10:0821847708
Subject: Mathematics

Regularity of Difference Equations on Banach Spaces

جزئیات و درخواست

By Ravi P. Agarwal, Claudio Cuevas, Carlos Lizama
Publisher: Springer, 2014-06-13
Pages: 218
Language: en
ISBN_13:9783319064475
ISBN_10:3319064479
Subject: Mathematics

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