Fractals In Graz 2001

Author : Peter Grabner,Wolfgang Woess
Publisher : Birkhäuser
Page : 288 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034880145

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Fractals in Graz 2001 by Peter Grabner,Wolfgang Woess Pdf

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.

Author : Peter J. Grabner,Wolfgang Woess
Publisher : Birkhauser
Page : 283 pages
File Size : 41,6 Mb
Release : 2003
Category : Mathematics
ISBN : 0817670068

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Fractals in Graz 2001 by Peter J. Grabner,Wolfgang Woess Pdf

This book contains the proceedings of the conference "Fractals in Graz 2001 - Analysis, Dynamics, Geometry, Stochastics" that was held in June 2001 at Graz University of Technology, Styria, Austria. The volume presents a multitude of different directions of active current research linked with the modern theory of fractal structures. All papers were written upon invitation by the editors. (Midwest).

Author : Christoph Bandt,Umberto Mosco,Martina Zähle
Publisher : Birkhäuser
Page : 265 pages
File Size : 53,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034878913

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Fractal Geometry and Stochastics III by Christoph Bandt,Umberto Mosco,Martina Zähle Pdf

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 : Kenneth Falconer
Publisher : John Wiley & Sons
Page : 404 pages
File Size : 44,8 Mb
Release : 2014-02-03
Category : Mathematics
ISBN : 9781119942399

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Fractal Geometry by Kenneth Falconer Pdf

The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions. Interest in fractal geometry continues to grow rapidly, both as a subject that is fascinating in its own right and as a concept that is central to many areas of mathematics, science and scientific research. Since its initial publication in 1990 Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. The book introduces and develops the general theory and applications of fractals in a way that is accessible to students and researchers from a wide range of disciplines. Fractal Geometry: Mathematical Foundations and Applications is an excellent course book for undergraduate and graduate students studying fractal geometry, with suggestions for material appropriate for a first course indicated. The book also provides an invaluable foundation and reference for researchers who encounter fractals not only in mathematics but also in other areas across physics, engineering and the applied sciences. Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals Carefully explains each topic using illustrative examples and diagrams Includes the necessary mathematical background material, along with notes and references to enable the reader to pursue individual topics Features a wide range of exercises, enabling readers to consolidate their understanding Supported by a website with solutions to exercises and additional material www.wileyeurope.com/fractal Leads onto the more advanced sequel Techniques in Fractal Geometry (also by Kenneth Falconer and available from Wiley)

Author : Robert S. Strichartz
Publisher : Princeton University Press
Page : 169 pages
File Size : 54,7 Mb
Release : 2018-06-05
Category : Mathematics
ISBN : 9780691186832

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Differential Equations on Fractals by Robert S. Strichartz Pdf

Differential Equations on Fractals opens the door to understanding the recently developed area of analysis on fractals, focusing on the construction of a Laplacian on the Sierpinski gasket and related fractals. Written in a lively and informal style, with lots of intriguing exercises on all levels of difficulty, the book is accessible to advanced undergraduates, graduate students, and mathematicians who seek an understanding of analysis on fractals. Robert Strichartz takes the reader to the frontiers of research, starting with carefully motivated examples and constructions. One of the great accomplishments of geometric analysis in the nineteenth and twentieth centuries was the development of the theory of Laplacians on smooth manifolds. But what happens when the underlying space is rough? Fractals provide models of rough spaces that nevertheless have a strong structure, specifically self-similarity. Exploiting this structure, researchers in probability theory in the 1980s were able to prove the existence of Brownian motion, and therefore of a Laplacian, on certain fractals. An explicit analytic construction was provided in 1989 by Jun Kigami. Differential Equations on Fractals explains Kigami's construction, shows why it is natural and important, and unfolds many of the interesting consequences that have recently been discovered. This book can be used as a self-study guide for students interested in fractal analysis, or as a textbook for a special topics course.

Author : Michel Laurent Lapidus,Machiel Van Frankenhuysen
Publisher : American Mathematical Soc.
Page : 760 pages
File Size : 44,7 Mb
Release : 2004
Category : Mathematics
ISBN : 0821836374

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Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot by Michel Laurent Lapidus,Machiel Van Frankenhuysen Pdf

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.

Author : Alexander Grigor'yan,Yuhua Sun
Publisher : Walter de Gruyter GmbH & Co KG
Page : 526 pages
File Size : 55,9 Mb
Release : 2021-01-18
Category : Mathematics
ISBN : 9783110700763

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Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs by Alexander Grigor'yan,Yuhua Sun Pdf

The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space. Written by experts in the field, this book is a valuable tool for the advanced mathematician.

Author : Christoph Bandt,Peter Mörters,Martina Zähle
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 49,6 Mb
Release : 2010-01-08
Category : Mathematics
ISBN : 9783034600309

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Fractal Geometry and Stochastics IV by Christoph Bandt,Peter Mörters,Martina Zähle Pdf

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.

Author : Jun Kigami
Publisher : American Mathematical Soc.
Page : 145 pages
File Size : 52,9 Mb
Release : 2012-02-22
Category : Mathematics
ISBN : 9780821852996

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Resistance Forms, Quasisymmetric Maps and Heat Kernel Estimates by Jun Kigami Pdf

Assume that there is some analytic structure, a differential equation or a stochastic process for example, on a metric space. To describe asymptotic behaviors of analytic objects, the original metric of the space may not be the best one. Every now and then one can construct a better metric which is somehow ``intrinsic'' with respect to the analytic structure and under which asymptotic behaviors of the analytic objects have nice expressions. The problem is when and how one can find such a metric. In this paper, the author considers the above problem in the case of stochastic processes associated with Dirichlet forms derived from resistance forms. The author's main concerns are the following two problems: (I) When and how to find a metric which is suitable for describing asymptotic behaviors of the heat kernels associated with such processes. (II) What kind of requirement for jumps of a process is necessary to ensure good asymptotic behaviors of the heat kernels associated with such processes.

Author : Anonim
Publisher : IOS Press
Page : 6097 pages
File Size : 51,8 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

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by Anonim Pdf

Author : Jean-Pierre Gazeau,Jaroslav Nešetřil,Branislav Rovan
Publisher : IOS Press
Page : 349 pages
File Size : 47,9 Mb
Release : 2007
Category : Science
ISBN : 9781586037062

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Physics and Theoretical Computer Science by Jean-Pierre Gazeau,Jaroslav Nešetřil,Branislav Rovan Pdf

Aims to reinforce the interface between physical sciences, theoretical computer science, and discrete mathematics. This book assembles theoretical physicists and specialists of theoretical informatics and discrete mathematics in order to learn about developments in cryptography, algorithmics, and more.

Author : Yasumasa Nishiura,Motoko Kotani
Publisher : Springer
Page : 157 pages
File Size : 44,8 Mb
Release : 2016-07-11
Category : Mathematics
ISBN : 9784431561040

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Mathematical Challenges in a New Phase of Materials Science by Yasumasa Nishiura,Motoko Kotani Pdf

This volume comprises eight papers delivered at the RIMS International Conference "Mathematical Challenges in a New Phase of Materials Science", Kyoto, August 4–8, 2014. The contributions address subjects in defect dynamics, negatively curved carbon crystal, topological analysis of di-block copolymers, persistence modules, and fracture dynamics. These papers highlight the strong interaction between mathematics and materials science and also reflect the activity of WPI-AIMR at Tohoku University, in which collaborations between mathematicians and experimentalists are actively ongoing.

Author : Vadim Kaimanovich
Publisher : Walter de Gruyter
Page : 545 pages
File Size : 54,5 Mb
Release : 2008-08-22
Category : Mathematics
ISBN : 9783110198089

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Random Walks and Geometry by Vadim Kaimanovich Pdf

Die jüngsten Entwicklungen zeigen, dass sich Wahrscheinlichkeitsverfahren zu einem sehr wirkungsvollen Werkzeug entwickelt haben, und das auf so unterschiedlichen Gebieten wie statistische Physik, dynamische Systeme, Riemann'sche Geometrie, Gruppentheorie, harmonische Analyse, Graphentheorie und Informatik.

Author : Volodymyr Nekrashevych
Publisher : American Mathematical Society
Page : 248 pages
File Size : 40,7 Mb
Release : 2024-04-05
Category : Mathematics
ISBN : 9781470476915

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Self-Similar Groups by Volodymyr Nekrashevych Pdf

Self-similar groups (groups generated by automata) appeared initially as examples of groups that are easy to define but that enjoy exotic properties like nontrivial torsion, intermediate growth, etc. The book studies the self-similarity phenomenon in group theory and shows its intimate relation with dynamical systems and more classical self-similar structures, such as fractals, Julia sets, and self-affine tilings. The relation is established through the notions of the iterated monodromy group and the limit space, which are the central topics of the book. A wide variety of examples and different applications of self-similar groups to dynamical systems and vice versa are discussed. It is shown in particular how Julia sets can be reconstructed from the respective iterated monodromy groups and that groups with exotic properties appear now not just as isolated examples but as naturally defined iterated monodromy groups of rational functions. The book is intended to be accessible to a wide mathematical readership, including graduate students interested in group theory and dynamical systems.

Author : Laurent Bartholdi,Tullio Ceccherini-Silberstein,Tatiana Smirnova-Nagnibeda,Andrzej Zuk
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 44,6 Mb
Release : 2006-03-28
Category : Mathematics
ISBN : 9783764374471

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Infinite Groups: Geometric, Combinatorial and Dynamical Aspects by Laurent Bartholdi,Tullio Ceccherini-Silberstein,Tatiana Smirnova-Nagnibeda,Andrzej Zuk Pdf

This book offers a panorama of recent advances in the theory of infinite groups. It contains survey papers contributed by leading specialists in group theory and other areas of mathematics. Topics include amenable groups, Kaehler groups, automorphism groups of rooted trees, rigidity, C*-algebras, random walks on groups, pro-p groups, Burnside groups, parafree groups, and Fuchsian groups. The accent is put on strong connections between group theory and other areas of mathematics.