Marco Martens, Welington de Melo
Published 1997-10-15, updated 1998-08-11Version 2
It will be shown that the smooth conjugacy class of an $S-$unimodal map which does not have a periodic attractor neither a Cantor attractor is determined by the multipliers of the periodic orbits. This generalizes a result by M.Shub and D.Sullivan for smooth expanding maps of the circle.
Journal: Nonlinearity 12 (1999), 217--227
Dynamics of annulus maps II: periodic points for coverings
Group automorphisms with few and with many periodic points
Convergence to the Mahler measure and the distribution of periodic points for algebraic Noetherian $\mathbb{Z}^d$-actions
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