Description

Book Synopsis
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.

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.

    Probabilistic Methods in Geometry Topology and

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      A Paperback by Yaiza Canzani, Linan Chen, Dmitry Jakobson

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        Book details

        Publisher American Mathematical Society
        Published 12/30/2019 12:00:00 AM
        ISBN-13 9781470441456
        978-1470441456
        ISBN-10 1470441454
        Also in:
        Geometry Topology

        Description

        Book Synopsis
        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.

        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.

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