Description
Book SynopsisContains 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.
Table of Contents
- L. Chen and N. Shu, A geometric treatment of log-correlated Gaussian free fields
- S. Eswarathasan, Tangent nodal sets for random spherical harmonics
- J. Friedman, Formal zeta function expansions and the frequency of Ramanujan graphs
- D. Jakobson, T. Langsetmo, I. Rivin, and L. Turner, Rank and Bollobas-Riordan polynomials: Coefficient measures and zeros
- V. Konakov, S. Menozzi, and S. Molchanov, The Brownian motion on $\mathrm{Aff}(\mathbb{R})$ and quasi-local theorems
- N. Laaksonen, Quantum limits of Eisenstein series in $\mathbb{H}^3$
- F. Macia and G. Riviere, Observability amd quantum limits for the Schrodinger equation on $\mathbb{S}^d$
- M. Rossi, Random nodal lengths and Wiener chaos
- L. Silberman and A. Venkatesh, Entropy bounds and quantum unique ergodity for Hecke eigenfunctions on division algebras.
