Control of contraction and expansion rates on periodic orbits of a hyperbolic dynamical system gives analogous control on all orbits. This leads to a sharp condition for the regularity of the invariant foliations in terms of bunchingat periodic points.
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Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, ItalyUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy
Bracci, Filippo
Iannuzzi, Andrea
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Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, ItalyUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy
Iannuzzi, Andrea
McKay, Benjamin
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Natl Univ Ireland Univ Coll Cork, Cork, IrelandUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy