Abstract |
For chaotic dynamical systems, we use ideas from recurrence statistics and
shrinking target problems to establish results on almost sure growth rates
of extremes for dynamical systems. Along the way, we show how these almost
sure growth rates can be used to estimate the local dimension of an
invariant measure for a hyperbolic system (e.g. for the Hénon map,
or the Lorenz equations). Work is joint with M. Nicol and A.
Török.
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