Probabilistic Methods in Geometry, Topology and Spectral Theory

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 Mathématiques, Université de Montréal, Montréal, Quebec, Can...

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Bibliographic Details
Main Authors: Canzani, Yaiza, Chen, Linan, Jakobson, Dmitry
Format: eBook
Language:English
Published: Providence, Rhode Island American Mathematical Society 20.11.2019
Centre de Recherches Mathematiques
Edition:1
Series:Contemporary Mathematics
Subjects:
Geometric analysis
Geometric analysis-Congresses
Mathematical physics
Mathematical physics-Congresses
Probabilities
Probabilities-Congresses
Spectral theory (Mathematics)
Spectral theory (Mathematics)-Congresses
Topology
Topology-Congresses
ISBN:9781470441456, 1470441454
ISSN:0271-4132, 1098-3627
Online Access:Get full text
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Summary: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 Mathématiques, Université de Montréal, Montréal, 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 Schrödinger 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.
ISBN:9781470441456
1470441454
ISSN:0271-4132
1098-3627
DOI:10.1090/conm/739