Probabilistic Methods in Geometry, Topology and Spectral Theory (Paperback)

Yaiza Canzani

ISBN 10: 1470441454 / ISBN 13: 9781470441456

Published by American Mathematical Society, Providence, 2019

About this Item

Paperback. This volume contains the proceedings of the CRM Workshops on Probabilistic Methods in Spectral Geometry and PDE, held from August 22-26, 2016 and Probabilistic Methods in Topology, held from November 14-18, 2016 at the Centre de Recherches Mathematiques, Universite de Montreal, Montreal, Quebec, Canada.Probabilistic methods have played an increasingly important role in many areas of mathematics, from the study of random groups and random simplicial complexes in topology, to the theory of random Schrodinger operators in mathematical physics.The workshop on Probabilistic Methods in Spectral Geometry and PDE brought together some of the leading researchers in quantum chaos, semi-classical theory, ergodic theory and dynamical systems, partial differential equations, probability, random matrix theory, mathematical physics, conformal field theory, and random graph theory. Its emphasis was on the use of ideas and methods from probability in different areas, such as quantum chaos (study of spectra and eigenstates of chaotic systems at high energy); geometry of random metrics and related problems in quantum gravity; solutions of partial differential equations with random initial conditions.The workshop Probabilistic Methods in Topology brought together researchers working on random simplicial complexes and geometry of spaces of triangulations (with connections to manifold learning); topological statistics, and geometric probability; theory of random groups and their properties; random knots; and other problems. This volume covers recent developments in several active research areas at the interface of Probability, Semiclassical Analysis, Mathematical Physics, Theory of Automorphic Forms and Graph Theory. Contains the proceedings of the CRM Workshops on Probabilistic Methods in Spectral Geometry and PDE, held in 2016 at the Centre de Recherches Mathematiques. This volume covers developments in active research areas at the interface of Probability, Semiclassical Analysis, Mathematical Physics, Theory of Automorphic Forms and Graph Theory. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9781470441456

Bibliographic Details

• Title: Probabilistic Methods in Geometry, Topology and Spectral Theory (Paperback)
• Publisher: American Mathematical Society, Providence
• Publication Date: 2019
• Language: English
• ISBN 10: 1470441454
• ISBN 13: 9781470441456
• Binding: Paperback
• Condition: new

About this title

Synopsis

Nine papers document two mathematics workshops in Montreal during August and November 2016 on probabilistic methods in spectral geometry and topology respectively. They cover a geometric treatment of log-correlated Gaussian free fields, tangent nodal sets for random spherical harmonics, formal zeta function expansions and the frequency of Ramanujan graphs, Rank and Bollobás-Riordan polynomials: coefficient measures and zeros, the Brownian motion of Aff(R) and quasi-local theorems, quantum limits of Eisenstein series in H3, observability and quantum limits for the Schrödinger equation on Sd, random nodal lengths and Wiener chaos, and entropy bounds and quantum unique ergodicity for Hecke eigenfunctions on division algebras. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)