Topics in Geometry and Dynamics
نویسنده
چکیده
9. Given an explicit example of a compact, convex set K in `2(Z), containing more than one point, whose extreme points are dense in K. Is such an example possible in Rn? 10. Let X = R2/Z2. Given A ∈ GL2(Z), let fA : X → X be the linear automorphism of the torus induced by A. Find all the ergodic, fA-invariant measures for A = ( 1 1 0 1 ). Show that the set of ergodic probablility measures is not closed in the space of all invariant measures.
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تاریخ انتشار 2015