
Spectral Structures and Topological Methods in Mathematics
EMS Press
1st Edition
Published in July 2019
Book
Hardback
XIV, 419 pages
978-3-03719-197-2 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Zurich
Switzerland
Target group
Professional and scholarly
Dimensions
Height: 24 cm
Width: 17 cm
ISBN-13
978-3-03719-197-2 (9783037191972)
Schweitzer Classification