Entropy in the classication of lattice actions
Aaron Brown (Northwestern University, EUA)


For n at least 3 and for lattices in SL(n;R), we consider actions on n-manifolds Assuming the existence of an element acting with positive topological entropy, we (measurably) classify the action (up to nite index and covers) as an action ofSL(n;Z) on the n-torus. This requires establishing a version of Yomdin-Newhouse semi-continuity of ber entropy. This is joint work with Homin Lee.

 


Powered by MathJax Valid HTML 4.01 Transitional