Fractal Geometry And Stochastics
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Fractal Geometry And Stochastics
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Author : Christoph Bandt
language : en
Publisher: Birkhäuser
Release Date : 2013-11-27
Fractal Geometry And Stochastics written by Christoph Bandt and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Mathematics categories.
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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Author : Christoph Bandt
language : en
Publisher: Birkhäuser
Release Date : 2015-07-08
Fractal Geometry And Stochastics V written by Christoph Bandt and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-08 with Mathematics categories.
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 Vi
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Author : Uta Freiberg
language : en
Publisher: Springer Nature
Release Date : 2021-03-23
Fractal Geometry And Stochastics Vi written by Uta Freiberg and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-23 with Mathematics categories.
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 Ii
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Author : Christoph Bandt
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Fractal Geometry And Stochastics Ii written by Christoph Bandt and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The second conference on Fractal Geometry and Stochastics was held at Greifs wald/Koserow, Germany from August 28 to September 2, 1998. Four years had passed after the first conference with this theme and during this period the interest in the subject had rapidly increased. More than one hundred mathematicians from twenty-two countries attended the second conference and most of them presented their newest results. Since it is impossible to collect all these contributions in a book of moderate size we decided to ask the 13 main speakers to write an account of their subject of interest. The corresponding articles are gathered in this volume. Many of them combine a sketch of the historical development with a thorough discussion of the most recent results of the fields considered. We believe that these surveys are of benefit to the readers who want to be introduced to the subject as well as to the specialists. We also think that this book reflects the main directions of research in this thriving area of mathematics. We express our gratitude to the Deutsche Forschungsgemeinschaft whose financial support enabled us to organize the conference. The Editors Introduction Fractal geometry deals with geometric objects that show a high degree of irregu larity on all levels of magnitude and, therefore, cannot be investigated by methods of classical geometry but, nevertheless, are interesting models for phenomena in physics, chemistry, biology, astronomy and other sciences.
Fractal Geometry And Stochastics Iv
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Author : Christoph Bandt
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-01-08
Fractal Geometry And Stochastics Iv written by Christoph Bandt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-08 with Mathematics categories.
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 Iii
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Author : Christoph Bandt
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Fractal Geometry And Stochastics Iii written by Christoph Bandt and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Fractal geometry is used to model complicated natural and technical phenomena in various disciplines like physics, biology, finance, and medicine. Since most convincing models contain an element of randomness, stochastics enters the area in a natural way. This book documents the establishment of fractal geometry as a substantial mathematical theory. As in the previous volumes, which appeared in 1998 and 2000, leading experts known for clear exposition were selected as authors. They survey their field of expertise, emphasizing recent developments and open problems. Main topics include multifractal measures, dynamical systems, stochastic processes and random fractals, harmonic analysis on fractals.
Fractal Geometry And Stochastics Ii
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Author : Christoph Bandt
language : en
Publisher:
Release Date : 2000
Fractal Geometry And Stochastics Ii written by Christoph Bandt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Fractals categories.
Fractal Geometry And Stochastics Ii
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Author : Christoph Bandt
language : en
Publisher: Birkhäuser
Release Date : 2000-02-14
Fractal Geometry And Stochastics Ii written by Christoph Bandt and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-14 with Mathematics categories.
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.
Discover Fractal Geometry And Stochastics An Immersive Journey Into Complexity
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-10
Discover Fractal Geometry And Stochastics An Immersive Journey Into Complexity written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-10 with Science categories.
Embark on an extraordinary journey into the captivating realm of fractal geometry and stochastics with this comprehensive guide. This book unveils the intricate patterns and captivating beauty of fractals, exploring their fundamental principles, diverse applications, and profound implications in various fields. From the awe-inspiring Mandelbrot set to the intricate branching patterns of trees, fractals permeate our natural world. They hold the key to understanding complex phenomena, offering insights into the structure of the universe, the dynamics of financial markets, and the intricate workings of the human body. This book delves deeply into the foundations of fractal geometry, equipping you with a solid understanding of self-similarity, scale invariance, and fractal dimension. You'll discover the fascinating world of random fractals, multifractals, and fractal processes, uncovering their applications in probability theory and beyond. Explore the captivating intersections of fractals with mathematics, computing, and engineering. Learn how fractals are harnessed to create stunning images, design efficient antennas, and model complex systems. Delve into the realm of fractal art, where creativity and mathematics intertwine to produce mesmerizing visual masterpieces. This book also illuminates the profound impact of fractals in medicine, revealing their potential in cardiology, neurology, and drug design. Uncover the mysteries of the human body through the lens of fractal geometry, gaining insights into the intricate structures that govern our health. Prepare to be captivated by the boundless possibilities of fractal geometry and stochastics. This book is an indispensable resource for students, researchers, professionals, and anyone fascinated by the intricate patterns and hidden symmetries that shape our world. If you like this book, write a review!
Fractal Geometry And Stochastics Iii
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Author : Christoph Bandt
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-07-23
Fractal Geometry And Stochastics Iii written by Christoph Bandt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-23 with Mathematics categories.
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.