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The Hausdorff distance between a compact convex set K CRd and random sets
K c lRd iS studied. Basic inequalities are derived for the case of K being a convex
subset of K. If applied to special seq...
Inspired by the work of Pujals and Sambarino on dominated splitting, we present billiards with a modi ed re ection law which constitute simple examples of dynamical systems with limit sets with domina...