Geometrical and Topological Methods in G
β J. P. Harnad, S. Shnider
π Library
π
1980
π Springer
π English
β¦ LIBER β¦
π
Probabilistic Methods in Geometry, Topology and Spectral Theory
β Scribed by Yaiza Canzani; Linan Chen; Dmitry Jakobson
- Publisher
- American Mathematical Society
- Year
- 2019
- Tongue
- English
- Leaves
- 208
- Series
- Contemporary Mathematics Ser.
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
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 MathΓ©matiques, UniversitΓ© de MontrΓ©al, MontrΓ©al, 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 SchrΓΆdinger 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.
β¦ Subjects
Mathematical physics-Congresses. ; Probabilities-Congresses. ; Geometric analysis-Congresses. ; Topology-Congresses. ; Spectral theory (Mathematics)-Congresses.; MAT000000; NON000000; NON000000
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