43 citations · 106 across the 34 of their papers we have counts for
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math.AP2009
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…
math.AP2009★ 12 cited
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…