43 citations · 106 across the 34 of their papers we have counts for
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Asymptotics for the expected lifetime of Brownian motion on thin domains in R^n
Denis Borisov, Pedro Freitas
We derive a three-term asymptotic expansion for the expected lifetime of Brownian motion and for the torsional rigidity on thin domains in R^n, and a two-term expansion for the max…
Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in R^d
Denis Borisov, Pedro Freitas
We consider the Laplace operator with Dirichlet boundary conditions on a domain in R^d and study the effect that performing a scaling in one direction has on the eigenvalues and co…
Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation
Denis Borisov, Pedro Freitas
We determine the general form of the asymptotics for Dirichlet eigenvalues of the one-dimensional linear damped wave operator. As a consequence, we obtain that given a spectrum cor…
A Spectral Bernstein Theorem
Pedro Freitas, Isabel Salavessa
We study the spectrum of the Laplace operator of a complete minimal properly immersed hypersurface in . (1) Under a volume growth condition on extrinsic balls and a c…