Spectral Structures and Topological Methods in Mathematics
Seiten
2019
EMS Press (Verlag)
978-3-03719-197-2 (ISBN)
EMS Press (Verlag)
978-3-03719-197-2 (ISBN)
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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.
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.
| Erscheinungsdatum | 31.07.2019 |
|---|---|
| Reihe/Serie | EMS Series of Congress Reports |
| Verlagsort | Zurich |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Aperiodic Order • braided groups • Brumer–Stark conjecture • critical regularity • Dynamical Systems • Free probability • Heat kernel • localising subcategory • Markov Processes • metastability • non-crossing partitions • Numerical analysis • p-divisible groups • representation growth • Schrödinger Operators • spatial ecology • special Kähler structure • subgroup growth • universal distributions • Zeta functions |
| ISBN-10 | 3-03719-197-X / 303719197X |
| ISBN-13 | 978-3-03719-197-2 / 9783037191972 |
| Zustand | Neuware |
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Hanser, Carl (Verlag)
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