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math.DS2008
Equidistribution of Dilations of Polynomial Curves in Nilmanifolds
Michael Björklund, Alexander Fish
In this paper we study the asymptotic behaviour under dilations of probability measures supported on polynomial curves in nilmanifolds. We prove, under some mild conditions, effect…
math.DS2008
Continuous Measures on Homogenous Spaces
Michael Björklund, Alexander Fish
In this paper we generalize Wiener's characterization of continuous measures to compact homogenous manifolds. In particular, we give necessary and sufficient conditions on probabil…