عنوان

Spectral structures and topological methods in mathematics /

3037196971

9783037196977

9783037191972

Spectral structures and topological methods in mathematics /

[Book]

Michael Baake, Friedrich Götze, Werner Hoffmann, editors.

Zürich :

European Mathematical Society,

2019.

1 online resource.

Series of congress reports

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.

Information visualization.

Mathematical analysis.

Topology.

Calculus & mathematical analysis.

Convex and discrete geometry.

Global analysis, analysis on manifolds.

Group theory and generalizations.

Information visualization.

Mathematical analysis.

Mathematics and science.

Number theory.

Topology.

Baake, Michael

Götze, Friedrich

Hoffmann, Werner,Dipl.-Math.

20200823094823.0

pn

[Book]

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