Analysis, Probability And Mathematical Physics On Fractals

Patricia Alonso Ruiz, Joe Po-chou Chen, Luke G Rogers, Alexander Teplyaev (Herausgeber)

Buch | Hardcover

596 Seiten

2020
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-1552-0 (ISBN)

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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.

Erscheinungsdatum	13.03.2020
Reihe/Serie	Fractals And Dynamics In Mathematics, Science, And The Arts: Theory And Applications ; 5
Mitarbeit	Chef-Herausgeber: Robert S Strichartz
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	981-12-1552-9 / 9811215529
ISBN-13	978-981-12-1552-0 / 9789811215520
Zustand	Neuware