Fractal Geometry, complex dimensions, and Zeta functions: geometry and spectra of fractal strings

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Offers a study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. This book interlinks number theory, spectral geometry, and fractal geometry. It gives the Riemann hypothesis a natural geometric reformulation in the context of vibrating fractal strings. It in...

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Detalles Bibliográficos
Autores principales: Lapidus, Michel L, van Frankenhuijsen, Machiel
Lenguaje:eng
Publicado: Springer 2006
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-0-387-35208-4
http://cds.cern.ch/record/1165744
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author Lapidus, Michel L
van Frankenhuijsen, Machiel
author_facet Lapidus, Michel L
van Frankenhuijsen, Machiel
author_sort Lapidus, Michel L
collection CERN
description Offers a study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. This book interlinks number theory, spectral geometry, and fractal geometry. It gives the Riemann hypothesis a natural geometric reformulation in the context of vibrating fractal strings. It includes theorems, examples and illustrations
id cern-1165744
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2006
publisher Springer
record_format invenio
spelling cern-11657442021-04-22T01:38:15Zdoi:10.1007/978-0-387-35208-4http://cds.cern.ch/record/1165744engLapidus, Michel Lvan Frankenhuijsen, MachielFractal Geometry, complex dimensions, and Zeta functions: geometry and spectra of fractal stringsMathematical Physics and MathematicsOffers a study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. This book interlinks number theory, spectral geometry, and fractal geometry. It gives the Riemann hypothesis a natural geometric reformulation in the context of vibrating fractal strings. It includes theorems, examples and illustrationsSpringeroai:cds.cern.ch:11657442006
spellingShingle Mathematical Physics and Mathematics
Lapidus, Michel L
van Frankenhuijsen, Machiel
Fractal Geometry, complex dimensions, and Zeta functions: geometry and spectra of fractal strings
title Fractal Geometry, complex dimensions, and Zeta functions: geometry and spectra of fractal strings
title_full Fractal Geometry, complex dimensions, and Zeta functions: geometry and spectra of fractal strings
title_fullStr Fractal Geometry, complex dimensions, and Zeta functions: geometry and spectra of fractal strings
title_full_unstemmed Fractal Geometry, complex dimensions, and Zeta functions: geometry and spectra of fractal strings
title_short Fractal Geometry, complex dimensions, and Zeta functions: geometry and spectra of fractal strings
title_sort fractal geometry, complex dimensions, and zeta functions: geometry and spectra of fractal strings
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-0-387-35208-4
http://cds.cern.ch/record/1165744
work_keys_str_mv AT lapidusmichell fractalgeometrycomplexdimensionsandzetafunctionsgeometryandspectraoffractalstrings
AT vanfrankenhuijsenmachiel fractalgeometrycomplexdimensionsandzetafunctionsgeometryandspectraoffractalstrings

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