Analysis, Probability And Mathematical Physics On Fractals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analysis, Probability And Mathematical Physics On Fractals write by Patricia Alonso Ruiz. This book was released on 2020-02-26. Analysis, Probability And Mathematical Physics On Fractals available in PDF, EPUB and Kindle. 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.
Geometry and Analysis of Fractals
Geometry and Analysis of Fractals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry and Analysis of Fractals write by De-Jun Feng. This book was released on 2014-08-01. Geometry and Analysis of Fractals available in PDF, EPUB and Kindle. 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.
Fractals in Probability and Analysis
Fractals in Probability and Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fractals in Probability and Analysis write by Christopher J. Bishop. This book was released on 2017. Fractals in Probability and Analysis available in PDF, EPUB and Kindle. A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.
Fractal-Based Point Processes
Fractal-Based Point Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fractal-Based Point Processes write by Steven Bradley Lowen. This book was released on 2005-09-19. Fractal-Based Point Processes available in PDF, EPUB and Kindle. An integrated approach to fractals and point processes This publication provides a complete and integrated presentation of the fields of fractals and point processes, from definitions and measures to analysis and estimation. The authors skillfully demonstrate how fractal-based point processes, established as the intersection of these two fields, are tremendously useful for representing and describing a wide variety of diverse phenomena in the physical and biological sciences. Topics range from information-packet arrivals on a computer network to action-potential occurrences in a neural preparation. The authors begin with concrete and key examples of fractals and point processes, followed by an introduction to fractals and chaos. Point processes are defined, and a collection of characterizing measures are presented. With the concepts of fractals and point processes thoroughly explored, the authors move on to integrate the two fields of study. Mathematical formulations for several important fractal-based point-process families are provided, as well as an explanation of how various operations modify such processes. The authors also examine analysis and estimation techniques suitable for these processes. Finally, computer network traffic, an important application used to illustrate the various approaches and models set forth in earlier chapters, is discussed. Throughout the presentation, readers are exposed to a number of important applications that are examined with the aid of a set of point processes drawn from biological signals and computer network traffic. Problems are provided at the end of each chapter allowing readers to put their newfound knowledge into practice, and all solutions are provided in an appendix. An accompanying Web site features links to supplementary materials and tools to assist with data analysis and simulation. With its focus on applications and numerous solved problem sets, this is an excellent graduate-level text for courses in such diverse fields as statistics, physics, engineering, computer science, psychology, and neuroscience.
Analysis and Probability
Analysis and Probability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analysis and Probability write by Palle E. T. Jorgensen. This book was released on 2007-10-17. Analysis and Probability available in PDF, EPUB and Kindle. Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing) Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques Numerous exercises reinforce fundamental concepts and hone computational skills Separate sections explain engineering terms to mathematicians and operator theory to engineers Fills a gap in the literature
