عنوان

Spectral structures and topological methods in mathematics /

(Number (ISBN

3037196971

(Number (ISBN

9783037196977

Erroneous ISBN

9783037191972

Title Proper

Spectral structures and topological methods in mathematics /

General Material Designation

[Book]

First Statement of Responsibility

Michael Baake, Friedrich Götze, Werner Hoffmann, editors.

Place of Publication, Distribution, etc.

Zürich :

Name of Publisher, Distributor, etc.

European Mathematical Society,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

1 online resource.

Series Title

Series of congress reports

Text of Note

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.

Number

Edition

Class number

Class number

System Code

Baake, Michael

Götze, Friedrich

Hoffmann, Werner,Dipl.-Math.

Date of Transaction

20200823094823.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y