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Ergodic Theory/Probability Seminar - Cheng Zheng

photo of Cheng Zheng
September 24, 2015
3:00 pm - 4:00 pm
Math Tower 154

Title: Sparse equidistribution of unipotent orbits in finite-volume quotients of PSL(2,R)

Speaker: Cheng Zheng (OSU)

Abstract: We consider the orbits {pu(n1+?)|n ? N} in G\PSL(2,R), where G is a non-uniform lattice in PSL(2,R) and {u(t)} is the standard unipotent one-parameter subgroup in PSL(2, R). Under a Diophantine condition on the intial point p, we can prove that the trajectory {pu(n1+? )|n ? N} is equidistributed in G\ PSL(2, R) for small ? > 0, which generalizes a result of Venkatesh for cocompact lattices G.

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Seminar - Ergodic Theory/Probability