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Asymptotic expansion of the heat kernel for orbifolds
Emily B. Dryden, Carolyn S. Gordon, Sarah J. Greenwald +1
We study the relationship between the geometry and the Laplace spectrum of a Riemannian orbifold O via its heat kernel; as in the manifold case, the time-zero asymptotic expansion…
Extremal -invariant eigenvalues of the Laplacian of -invariant metrics
Bruno Colbois, Emily B. Dryden, Ahmad El Soufi
The study of extremal properties of the spectrum often involves restricting the metrics under consideration. Motivated by the work of Abreu and Freitas in the case of the sphere $S…
Hearing the weights of weighted projective planes
Miguel Abreu, Emily Dryden, Pedro Freitas +1
Which properties of an orbifold can we ``hear,'' i.e., which topological and geometric properties of an orbifold are determined by its Laplace spectrum? We consider this question f…
Collars and partitions of hyperbolic cone-surfaces
Emily B. Dryden, Hugo Parlier
For compact Riemann surfaces, the collar theorem and Bers' partition theorem are major tools for working with simple closed geodesics. The main goal of this paper is to prove simil…