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math.SP2011
A refinement of strong multiplicity one for spectra of hyperbolic manifolds
Dubi Kelmer
Let $\calM_1$ and $\calM_2$ denote two compact hyperbolic manifolds. Assume that the multiplicities of eigenvalues of the Laplacian acting on $L^2(\calM_1)$ and $L^2(\calM_2)$ (res…
math.DS2011
Logarithm laws for one parameter unipotent flows
Dubi Kelmer, Amir Mohammadi
We prove logarithm laws and shrinking target properties for unipotent flows on the homogenous space $Γ\bs G$ with $G=\SL_2(\bbR)^{r_1}\times\SL_2(\bbC)^{r_2}$ and an…