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|Title:||The horocycle flow and the laplacian on hyperbolic surfaces with infinite genus|
|Speaker:||Omri Sarig, Penn State|
|Consider a hyperbolic surface which can be partitioned into countably many pairs of pants whose boundary components have lengths bounded from above. We show that there is a canonical bijection between the extremal positive eigenfunctions of the laplacian, and the ergodic invariant Radon measures of the horocycle flow. (Joint with F. Ledrappier)|
Room Reservation Information
|Date:||04 / 24 / 2008|
|Time:||05:00pm - 06:00pm|