Fractal Geometry and Stochastics IV

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Publisher : Springer Science & Business Media
ISBN 13 : 3034600305
Total Pages : 290 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Fractal Geometry and Stochastics IV by : Christoph Bandt

Download or read book Fractal Geometry and Stochastics IV written by Christoph Bandt and published by Springer Science & Business Media. This book was released on 2010-01-08 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractal Geometry and Stochastics VI

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Author :
Publisher : Springer Nature
ISBN 13 : 3030596494
Total Pages : 307 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Fractal Geometry and Stochastics VI by : Uta Freiberg

Download or read book Fractal Geometry and Stochastics VI written by Uta Freiberg and published by Springer Nature. This book was released on 2021-03-23 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of contributions originates from the well-established conference series "Fractal Geometry and Stochastics" which brings together researchers from different fields using concepts and methods from fractal geometry. Carefully selected papers from keynote and invited speakers are included, both discussing exciting new trends and results and giving a gentle introduction to some recent developments. The topics covered include Assouad dimensions and their connection to analysis, multifractal properties of functions and measures, renewal theorems in dynamics, dimensions and topology of random discrete structures, self-similar trees, p-hyperbolicity, phase transitions from continuous to discrete scale invariance, scaling limits of stochastic processes, stemi-stable distributions and fractional differential equations, and diffusion limited aggregation. Representing a rich source of ideas and a good starting point for more advanced topics in fractal geometry, the volume will appeal to both established experts and newcomers.

Fractal Geometry and Stochastics

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Author :
Publisher : Birkhäuser
ISBN 13 : 3034877552
Total Pages : 248 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fractal Geometry and Stochastics by : Christoph Bandt

Download or read book Fractal Geometry and Stochastics written by Christoph Bandt and published by Birkhäuser. This book was released on 2013-11-27 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry is a new and promising field for researchers from different disciplines such as mathematics, physics, chemistry, biology and medicine. It is used to model complicated natural and technical phenomena. The most convincing models contain an element of randomness so that the combination of fractal geometry and stochastics arises in between these two fields. It contains contributions by outstanding mathematicians and is meant to highlight the principal directions of research in the area. The contributors were the main speakers attending the conference "Fractal Geometry and Stochastics" held at Finsterbergen, Germany, in June 1994. This was the first international conference ever to be held on the topic. The book is addressed to mathematicians and other scientists who are interested in the mathematical theory concerning: • Fractal sets and measures • Iterated function systems • Random fractals • Fractals and dynamical systems, and • Harmonic analysis on fractals. The reader will be introduced to the most recent results in these subjects. Researchers and graduate students alike will benefit from the clear expositions.

Fractal Geometry and Stochastics V

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Publisher : Birkhäuser
ISBN 13 : 3319186604
Total Pages : 340 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Fractal Geometry and Stochastics V by : Christoph Bandt

Download or read book Fractal Geometry and Stochastics V written by Christoph Bandt and published by Birkhäuser. This book was released on 2015-07-08 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects significant contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014. The book is divided into five topical sections: geometric measure theory, self-similar fractals and recurrent structures, analysis and algebra on fractals, multifractal theory, and random constructions. Each part starts with a state-of-the-art survey followed by papers covering a specific aspect of the topic. The authors are leading world experts and present their topics comprehensibly and attractively. Both newcomers and specialists in the field will benefit from this book.

Fractal Geometry and Stochastics II

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Publisher :
ISBN 13 : 9780817662158
Total Pages : 292 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Fractal Geometry and Stochastics II by : Christoph Bandt

Download or read book Fractal Geometry and Stochastics II written by Christoph Bandt and published by . This book was released on 2000 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractal Geometry and Stochastics II

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Author :
Publisher : Birkhäuser
ISBN 13 : 3034883803
Total Pages : 286 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fractal Geometry and Stochastics II by : Christoph Bandt

Download or read book Fractal Geometry and Stochastics II written by Christoph Bandt and published by Birkhäuser. This book was released on 2012-12-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of contributions by outstanding mathematicians, highlighting the principal directions of research on the combination of fractal geometry and stochastic methods. Clear expositions introduce the most recent results and problems on these subjects and give an overview of their historical development.

Fractal Geometry and Stochastics

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Author :
Publisher : Birkhauser
ISBN 13 : 9780817652630
Total Pages : 245 pages
Book Rating : 4.6/5 (526 download)

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Book Synopsis Fractal Geometry and Stochastics by : Christoph Bandt

Download or read book Fractal Geometry and Stochastics written by Christoph Bandt and published by Birkhauser. This book was released on 1995 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractal Geometry and Stochastics IV

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Author :
Publisher : Birkhäuser
ISBN 13 : 9783034600330
Total Pages : 290 pages
Book Rating : 4.6/5 (3 download)

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Book Synopsis Fractal Geometry and Stochastics IV by : Christoph Bandt

Download or read book Fractal Geometry and Stochastics IV written by Christoph Bandt and published by Birkhäuser. This book was released on 2010-10-22 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractal Geometry and Stochastics

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Author :
Publisher : Birkhäuser
ISBN 13 : 9783764352639
Total Pages : 248 pages
Book Rating : 4.3/5 (526 download)

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Book Synopsis Fractal Geometry and Stochastics by : Christoph Bandt

Download or read book Fractal Geometry and Stochastics written by Christoph Bandt and published by Birkhäuser. This book was released on 1995-11-13 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry is a new and promising field for researchers from different disciplines such as mathematics, physics, chemistry, biology and medicine. It is used to model complicated natural and technical phenomena. The most convincing models contain an element of randomness so that the combination of fractal geometry and stochastics arises in between these two fields. It contains contributions by outstanding mathematicians and is meant to highlight the principal directions of research in the area. The contributors were the main speakers attending the conference "Fractal Geometry and Stochastics" held at Finsterbergen, Germany, in June 1994. This was the first international conference ever to be held on the topic. The book is addressed to mathematicians and other scientists who are interested in the mathematical theory concerning: • Fractal sets and measures • Iterated function systems • Random fractals • Fractals and dynamical systems, and • Harmonic analysis on fractals. The reader will be introduced to the most recent results in these subjects. Researchers and graduate students alike will benefit from the clear expositions.

Fractal Geometry and Stochastics III

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Author :
Publisher : Birkhäuser
ISBN 13 : 3034878915
Total Pages : 265 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fractal Geometry and Stochastics III by : Christoph Bandt

Download or read book Fractal Geometry and Stochastics III written by Christoph Bandt and published by Birkhäuser. This book was released on 2012-12-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractals in Graz 2001

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Publisher : Birkhäuser
ISBN 13 : 3034880146
Total Pages : 288 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fractals in Graz 2001 by : Peter Grabner

Download or read book Fractals in Graz 2001 written by Peter Grabner and published by Birkhäuser. This book was released on 2012-12-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Integral, Probability, and Fractal Measures

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1475729588
Total Pages : 292 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Integral, Probability, and Fractal Measures by : Gerald A. Edgar

Download or read book Integral, Probability, and Fractal Measures written by Gerald A. Edgar and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing the mathematical background required for the study of fractal topics, this book deals with integration in the modern sense, together with mathematical probability. The emphasis is on the particular results that aid the discussion of fractals, and follows Edgars Measure, Topology, and Fractal Geometry. With exercises throughout, this is and ideal text for beginning graduate students both in the classroom and for self-study.

Analysis, Probability And Mathematical Physics On Fractals

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Author :
Publisher : World Scientific
ISBN 13 : 9811215545
Total Pages : 594 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Analysis, Probability And Mathematical Physics On Fractals by : Patricia Alonso Ruiz

Download or read book Analysis, Probability And Mathematical Physics On Fractals written by Patricia Alonso Ruiz and published by World Scientific. This book was released on 2020-02-26 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric and probabilistic aspects of the mathematics of fractals. Using classical and abstract analytic tools developed by Cantor, Hausdorff, and Sierpinski, they have sought to address fundamental questions: How can we measure the size of a fractal set? How do waves and heat travel on irregular structures? How are analysis, geometry and stochastic processes related in the absence of Euclidean smooth structure? What new physical phenomena arise in the fractal-like settings that are ubiquitous in nature?This book introduces background and recent progress on these problems, from both established leaders in the field and early career researchers. The book gives a broad introduction to several foundational techniques in fractal mathematics, while also introducing some specific new and significant results of interest to experts, such as that waves have infinite propagation speed on fractals. It contains sufficient introductory material that it can be read by new researchers or researchers from other areas who want to learn about fractal methods and results.

Fractal Geometry and Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461253144
Total Pages : 277 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Fractal Geometry and Number Theory by : Michel L. Lapidus

Download or read book Fractal Geometry and Number Theory written by Michel L. Lapidus and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher dimensional analogues, fractal sprays. We develop a theory of complex di mensions of a fractal string, and we study how these complex dimensions relate the geometry with the spectrum of the fractal string. We refer the reader to [Berrl-2, Lapl-4, LapPol-3, LapMal-2, HeLapl-2] and the ref erences therein for further physical and mathematical motivations of this work. (Also see, in particular, Sections 7. 1, 10. 3 and 10. 4, along with Ap pendix B.) In Chapter 1, we introduce the basic object of our research, fractal strings (see [Lapl-3, LapPol-3, LapMal-2, HeLapl-2]). A 'standard fractal string' is a bounded open subset of the real line. Such a set is a disjoint union of open intervals, the lengths of which form a sequence which we assume to be infinite. Important information about the geometry of . c is contained in its geometric zeta function (c(8) = L lj. j=l 2 Introduction We assume throughout that this function has a suitable meromorphic ex tension. The central notion of this book, the complex dimensions of a fractal string . c, is defined as the poles of the meromorphic extension of (c.

Fractal Geometry and Stochastics

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Author :
Publisher : Birkhäuser
ISBN 13 : 9783764352639
Total Pages : 272 pages
Book Rating : 4.3/5 (526 download)

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Book Synopsis Fractal Geometry and Stochastics by : Christoph Bandt

Download or read book Fractal Geometry and Stochastics written by Christoph Bandt and published by Birkhäuser. This book was released on 1995-11-13 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry is a new and promising field for researchers from different disciplines such as mathematics, physics, chemistry, biology and medicine. It is used to model complicated natural and technical phenomena. The most convincing models contain an element of randomness so that the combination of fractal geometry and stochastics arises in between these two fields. It contains contributions by outstanding mathematicians and is meant to highlight the principal directions of research in the area. The contributors were the main speakers attending the conference "Fractal Geometry and Stochastics" held at Finsterbergen, Germany, in June 1994. This was the first international conference ever to be held on the topic. The book is addressed to mathematicians and other scientists who are interested in the mathematical theory concerning: • Fractal sets and measures • Iterated function systems • Random fractals • Fractals and dynamical systems, and • Harmonic analysis on fractals. The reader will be introduced to the most recent results in these subjects. Researchers and graduate students alike will benefit from the clear expositions.

Fractal Geometry and Analysis

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Publisher :
ISBN 13 : 9789401579322
Total Pages : 492 pages
Book Rating : 4.5/5 (793 download)

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Book Synopsis Fractal Geometry and Analysis by : Jacques Belair

Download or read book Fractal Geometry and Analysis written by Jacques Belair and published by . This book was released on 2014-01-15 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry and Analysis of Fractals

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Author :
Publisher : Springer
ISBN 13 : 3662439204
Total Pages : 360 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Geometry and Analysis of Fractals by : De-Jun Feng

Download or read book Geometry and Analysis of Fractals written by De-Jun Feng and published by Springer. This book was released on 2014-08-01 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects thirteen expository or survey articles on topics including Fractal Geometry, Analysis of Fractals, Multifractal Analysis, Ergodic Theory and Dynamical Systems, Probability and Stochastic Analysis, written by the leading experts in their respective fields. The articles are based on papers presented at the International Conference on Advances on Fractals and Related Topics, held on December 10-14, 2012 at the Chinese University of Hong Kong. The volume offers insights into a number of exciting, cutting-edge developments in the area of fractals, which has close ties to and applications in other areas such as analysis, geometry, number theory, probability and mathematical physics.