Fractals in Probability and Analysis (Cambridge Studies in Advanced Mathematics) - Tapa dura

Bishop, Christopher J.; Peres, Yuval

 
9781107134119: Fractals in Probability and Analysis (Cambridge Studies in Advanced Mathematics)
Tapa dura
ISBN 10: 1107134110 ISBN 13: 9781107134119
Editorial: Cambridge University Press, 2016

Sinopsis

This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and Brownian motion are introduced, as are more specialized topics, including Kakeya sets, capacity, percolation on trees and the traveling salesman theorem. The broad range of techniques presented enables key ideas to be highlighted, without the distraction of excessive technicalities. The authors incorporate some novel proofs which are simpler than those available elsewhere. Where possible, chapters are designed to be read independently so the book can be used to teach a variety of courses, with the clear structure offering students an accessible route into the topic.

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Acerca del autor

Christopher J. Bishop is a professor in the Department of Mathematics at Stony Brook University, New York. He has made contributions to the theory of function algebras, Kleinian groups, harmonic measure, conformal and quasiconformal mapping, holomorphic dynamics and computational geometry. Yuval Peres is a Principal Researcher at Microsoft Research in Redmond, Washington. He is particularly known for his research in topics such as fractals and Hausdorff measures, random walks, Brownian motion, percolation and Markov chain mixing times.

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Editorial
Cambridge University Press
Año de publicación
2016
Idioma
Inglés
ISBN 10 
1107134110
ISBN 13 
9781107134119
Encuadernación
Tapa dura
Número de páginas
412
Contacto del fabricante
no disponible
Persona responsable
Avery
https://www.avery.fr/

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Dardilly
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