Multiscale methods for the analysis and application of fractal point processes and queues - 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 Multiscale methods for the analysis and application of fractal point processes and queues write by Warren Michael Lam. This book was released on 1997. Multiscale methods for the analysis and application of fractal point processes and queues available in PDF, EPUB and Kindle.
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.
Fractal-Based Methods in Analysis
Fractal-Based Methods in 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 Fractal-Based Methods in Analysis write by Herb Kunze. This book was released on 2011-11-18. Fractal-Based Methods in Analysis available in PDF, EPUB and Kindle. The idea of modeling the behaviour of phenomena at multiple scales has become a useful tool in both pure and applied mathematics. Fractal-based techniques lie at the heart of this area, as fractals are inherently multiscale objects; they very often describe nonlinear phenomena better than traditional mathematical models. In many cases they have been used for solving inverse problems arising in models described by systems of differential equations and dynamical systems. "Fractal-Based Methods in Analysis" draws together, for the first time in book form, methods and results from almost twenty years of research in this topic, including new viewpoints and results in many of the chapters. For each topic the theoretical framework is carefully explained using examples and applications. The second chapter on basic iterated function systems theory is designed to be used as the basis for a course and includes many exercises. This chapter, along with the three background appendices on topological and metric spaces, measure theory, and basic results from set-valued analysis, make the book suitable for self-study or as a source book for a graduate course. The other chapters illustrate many extensions and applications of fractal-based methods to different areas. This book is intended for graduate students and researchers in applied mathematics, engineering and social sciences. Herb Kunze is a professor of mathematics at the University of Guelph in Ontario. Davide La Torre is an associate professor of mathematics in the Department of Economics, Management and Quantitative Methods of the University of Milan. Franklin Mendivil is a professor of mathematics at Acadia University in Nova Scotia. Edward Vrscay is a professor in the department of Applied Mathematics at the University of Waterloo in Ontario. The major focus of their research is on fractals and the applications of fractals.
Dissertation Abstracts International
Dissertation Abstracts International - 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 Dissertation Abstracts International write by . This book was released on 1997. Dissertation Abstracts International available in PDF, EPUB and Kindle.
Multiscale Analysis and Control of Networks with Fractal Traffic
Multiscale Analysis and Control of Networks with Fractal Traffic - 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 Multiscale Analysis and Control of Networks with Fractal Traffic write by Warren Michael Lam. This book was released on 1998. Multiscale Analysis and Control of Networks with Fractal Traffic available in PDF, EPUB and Kindle.
