Spectral Problems in Geometry and Arithmetic.

Intro -- Contents -- Preface -- List of participants -- Connections between random matrices and Szegö limit theorems -- On a fourth order curvature invariant -- Small eigenvalues of the Hodge Laplacian for three-manifolds with pinched negative curvature -- Heating and stretching Riemannian manifolds -- Number theory zeta functions and dynamical zeta functions -- Complex dimensions of fractal strings and oscillatory phenomena in fractal geometry and arithmetic -- High frequency cut-offs, trace formulas and geometry -- Meromorphic continuation of the resolvent for Kleinian groups -- Variation of scattering poles for conformal metrics -- On Bilu's equidistribution theorem -- Asymptotics of a class of Fredholm determinants.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.