Analysis, Probability And Mathematical Physics On Fractals

Patricia Alonso Ruiz (Texas A&m Univ, Usa), Joe Po-chou Chen (Colgate Univ, Usa), Luke G Rogers (Univ Of Connecticut, Usa) , Robert S Strichartz (Cornell Univ, Usa)

$284.99

Hardback

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English

World Scientific Publishing Co Pte Ltd
26 February 2020

Fractal geometry

Series: Fractals And Dynamics In Mathematics, Science, And The Arts: Theory And Applications

Summary
Details

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.

Edited by: Patricia Alonso Ruiz (Texas A&m Univ Usa), Joe Po-chou Chen (Colgate Univ, Usa), Luke G Rogers (Univ Of Connecticut, Usa), Alexander Teplyaev (Univ Of Connecticut, Usa)
Editor-in-chief: Robert S Strichartz (Cornell Univ Usa)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 5
ISBN: 9789811215520
ISBN 10: 9811215529
Series: Fractals And Dynamics In Mathematics, Science, And The Arts: Theory And Applications
Pages: 596
Publication Date: 26 February 2020
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

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Analysis, Probability And Mathematical Physics On Fractals

Patricia Alonso Ruiz (Texas A&m Univ, Usa), Joe Po-chou Chen (Colgate Univ, Usa), Luke G Rogers (Univ Of Connecticut, Usa) , Robert S Strichartz (Cornell Univ, Usa)

$284.99

Hardback

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