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" Spectral structures and topological methods in mathematics / "
Michael Baake, Friedrich Götze, Werner Hoffmann, editors.
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BL
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| Record Number
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863134
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| Title & Author
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Spectral structures and topological methods in mathematics /\ Michael Baake, Friedrich Götze, Werner Hoffmann, editors.
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| Publication Statement
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Zürich :: European Mathematical Society,, 2019.
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| Series Statement
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Series of congress reports
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1 online resource.
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| ISBN
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3037196971
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: 9783037196977
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9783037191972
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| Abstract
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This book is a collection of survey articles about spectral structures and the application of topological methods bridging different mathematical disciplines, from pure to applied. The topics are based on work done in the Collaborative Research Centre (SFB) 701.Notable examples are non-crossing partitions, which connect representation theory, braid groups, non-commutative probability as well as spectral distributions of random matrices. The local distributions of such spectra are universal, also representing the local distribution of zeros of $L$-functions in number theory.An overarching method is the use of zeta functions in the asymptotic counting of sublattices, group representations etc. Further examples connecting probability, analysis, dynamical systems and geometry are generating operators of deterministic or stochastic processes, stochastic differential equations, and fractals, relating them to the local geometry of such spaces and the convergence to stable and semi-stable states.
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Information visualization.
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Mathematical analysis.
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Topology.
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Information visualization.
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Mathematical analysis.
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Topology.
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Calculus mathematical analysis.
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Convex and discrete geometry.
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Global analysis, analysis on manifolds.
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Group theory and generalizations.
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Mathematics and science.
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Number theory.
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| Dewey Classification
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514
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| LC Classification
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QA611
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| NLM classification
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58-xx11-xx20-xx52-xxmsc
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| Added Entry
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Baake, Michael
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Götze, Friedrich
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Hoffmann, Werner,Dipl.-Math.
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