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Showing 2009 · math.DSShow all
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math.DS2009
Sensitive dependence on initial conditions and chaotic group actions
Fabrizio Polo
A continuous action of a group G on a compact metric space has sensitive dependence on initial conditions if there is a number e>0 such that for any open set U we can find g in G s…
math.DS2009
Heaviness in Toral Rotations
Yuval Peres, David Ralston
We investigate the dimension of the set of points in the d-torus which have the property that their orbit under rotation by some alpha hits a fixed closed target A more often than…