From Classical Analysis to Analysis 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 From Classical Analysis to Analysis on Fractals write by Patricia Alonso Ruiz. This book was released on 2023-11-25. From Classical Analysis to Analysis on Fractals available in PDF, EPUB and Kindle. Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals. This is the first volume of a tribute to his work and legacy, featuring chapters that reflect his mathematical interests, written by his colleagues and friends. An introductory chapter summarizes his broad and varied mathematical work and highlights his profound contributions as a mathematical mentor. The remaining articles are grouped into three sections – functional and harmonic analysis on Euclidean spaces, analysis on manifolds, and analysis on fractals – and explore Strichartz’ contributions to these areas, as well as some of the latest developments.
Analysis, Probability And Mathematical Physics On Fractals
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.
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.
Recent Developments in Fractals and Related Fields
Recent Developments in Fractals and Related Fields - 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 Recent Developments in Fractals and Related Fields write by Julien Barral. This book was released on 2010-07-24. Recent Developments in Fractals and Related Fields available in PDF, EPUB and Kindle. The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scienti?c communities with s- ni?cant developments in harmonic analysis, ranging from abstract harmonic analysis to basic applications. The title of the series re?ects the importance of applications and numerical implementation, but richness and relevance of applications and implementation depend fundamentally on the structure and depth of theoretical underpinnings. Thus, from our point of view, the int- leaving of theory and applications and their creative symbiotic evolution is axiomatic. Harmonic analysis is a wellspring of ideas and applicability that has ?o- ished, developed, and deepened over time within many disciplines and by means of creative cross-fertilizationwith diverse areas. The intricate and f- damental relationship between harmonic analysis and ?elds such as signal processing, partial di?erential equations (PDEs), and image processing is - ?ected in our state-of-the-art ANHA series. Our vision of modern harmonic analysis includes mathematical areas such as wavelet theory, Banach algebras, classical Fourier analysis, time-frequency analysis, and fractal geometry, as well as the diverse topics that impinge on them.
Analysis on Fractals
Analysis 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 on Fractals write by Jun Kigami. This book was released on 2001-06-07. Analysis on Fractals available in PDF, EPUB and Kindle. This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals.
