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The spectral function and the remainder in local Weyl's law: View from below

Mathematical Physics & Probability

Speaker: Osya Polterovich, Universite de Montreal
Location: 2112 MSB
Start time: Tue, Feb 28 2006, 3:00PM

The talk focuses on asymptotic lower bounds for the spectral function of the Laplacian and for the pointwise error term in Weyl's law on manifolds. I will first discuss some results valid on any manifold, and then explain how the techniques of thermodynamic formalism for hyperbolic flows yield stronger estimates in the negatively curved case. This is a joint work with Dmitry Jakobson (McGill).