Mathematics of fractals

This book aims at providing a handy explanation of the notions behind the self-similar sets called "fractals" and "chaotic dynamical systems". The authors emphasize the beautiful relationship between fractal functions (such as Weierstrass's) and chaotic dynamical systems; th...

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Detalles Bibliográficos
Autores principales: Hudson, Kiki, Yamaguti, Masaya, Hata, Masayoshi
Lenguaje:eng
Publicado: American Mathematical Society 1997
Materias:
XX
Acceso en línea:http://cds.cern.ch/record/2754439
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author Hudson, Kiki
Yamaguti, Masaya
Hata, Masayoshi
Hudson, Kiki
author_facet Hudson, Kiki
Yamaguti, Masaya
Hata, Masayoshi
Hudson, Kiki
author_sort Hudson, Kiki
collection CERN
description This book aims at providing a handy explanation of the notions behind the self-similar sets called "fractals" and "chaotic dynamical systems". The authors emphasize the beautiful relationship between fractal functions (such as Weierstrass's) and chaotic dynamical systems; these nowhere-differentiable functions are generating functions of chaotic dynamical systems. These functions are shown to be in a sense unique solutions of certain boundary problems. The last chapter of the book treats harmonic functions on fractal sets.
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institution Organización Europea para la Investigación Nuclear
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publishDate 1997
publisher American Mathematical Society
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spelling cern-27544392021-04-21T16:43:24Zhttp://cds.cern.ch/record/2754439engHudson, KikiYamaguti, MasayaHata, MasayoshiHudson, KikiMathematics of fractalsXXThis book aims at providing a handy explanation of the notions behind the self-similar sets called "fractals" and "chaotic dynamical systems". The authors emphasize the beautiful relationship between fractal functions (such as Weierstrass's) and chaotic dynamical systems; these nowhere-differentiable functions are generating functions of chaotic dynamical systems. These functions are shown to be in a sense unique solutions of certain boundary problems. The last chapter of the book treats harmonic functions on fractal sets.American Mathematical Societyoai:cds.cern.ch:27544391997
spellingShingle XX
Hudson, Kiki
Yamaguti, Masaya
Hata, Masayoshi
Hudson, Kiki
Mathematics of fractals
title Mathematics of fractals
title_full Mathematics of fractals
title_fullStr Mathematics of fractals
title_full_unstemmed Mathematics of fractals
title_short Mathematics of fractals
title_sort mathematics of fractals
topic XX
url http://cds.cern.ch/record/2754439
work_keys_str_mv AT hudsonkiki mathematicsoffractals
AT yamagutimasaya mathematicsoffractals
AT hatamasayoshi mathematicsoffractals
AT hudsonkiki mathematicsoffractals

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