Feliks Przytycki - publications
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Estimates of the topological entropy from below for continuous
self-maps on some compact manifolds.
Co-author: W. Marzantowicz.
Discrete and Continuous Dynamical Systems. To appear.
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Statistical properties of Topological Collet-Eckmann maps.
Co-author J. Rivera-Letelier.
Annales Scientifiques de l'Ecole Normale Superieure. 4e serie, t.40, (2007), 135-178.
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On the hyperbolic Hausdorff dimension of the boundary of a basin of
attraction for a holomorphic map and of quasirepellers.
Bulletin of the Polish Academy of Sciences Mathematics, 54.1 (2006), 41-52.
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Expanding repellers in limit sets for iteration of holomorphic functions.
Fundamenta Mathematicae 186 (2005), 85-96.
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An improvement of J. Rivera-Letelier result on weak hyperbolicity on periodic orbits for polynomials.
Proyecciones 24.3 (2005), 277-286,
Errata Proyecciones 25.2 (2006), 231-232.
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Entropy conjecture for continuous maps of nilmanifolds.
Co-author: W. Marzantowicz.
Israel Journal of Mathematics. To appear.
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On Hausdorff dimension of some Cantor attractors.
Co-author: G. Levin.
Israel Journal of Mathematics 149 (2005), 185-198.
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Equality of pressures for rational functions.
Co-authors: J. Rivera-Letelier, S. Smirnov.
Ergodic Theory and Dynamical Systems 23 (2004), 891-914.
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Equivalence and topological invariance of conditions
for non-uniform hyperbolicity in iteration of rational maps.
Co-authors: J. Rivera-Letelier, S. Smirnov.
Inventiones Mathematicae 151 (2003), 29-63.
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Porosity of Julia sets of non-recurrent and parabolic Collet-Eckmann
rational functions.
Co-author: M. Urbanski.
Annales Academiae Scientiarum Fennicae 26 (2001), 125-154.
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Rigidity of conformal iterated function systems.
Co-authors: R.D.Mauldin, M.Urbanski.
Compositio Mathematica 129 (2001), 273-299.
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Rigidity of tame rational functions.
Co-author: M. Urbanski.
Bulletin of the Polish Academy of Sciences, ser. Math. 47.2
(1999), 163-182.
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The dichotomy for the boundary of a parabolic simply-connected
basin: either it is analytic or its Hausdorff dimension is bigger than
1.
Notes to a future paper joint with J. Skrzypczak and A. Volberg.
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H\"older implies CE.
Asterisque 261 (2000), 385-403.
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Rigidity of holomorphic Collet-Eckmann repellers.
Co-author: S. Rohde.
Arkiv for Math. 37.2 (1999), 357-371.
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Topological invariance of the Collet-Eckmann property
for S-unimodal maps.
Co-author: T. Nowicki.
Fundamenta Mathematicae 155 (1998), 33--43.
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Porosity of Collet-Eckmann Julia sets.
Co-author: S. Rohde.
Fundamenta Mathematicae 155 (1998), 189--199.
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Conical limit sets and Poincare exponent for
iterations of rational functions.
Preprint Max-Planck-Institut fur Math., Bonn, 1996-104.
Transactions of the AMS 351.5 (1999), 2081-2099.
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On measure and Hausdorff dimension of Julia sets for
holomorphic Collet-Eckmann maps.
International conference on dynamical systems, Montevideo 1995 -- a
tribute to Ricardo Mane., Eds. F. Ledrappier, J. Lewowicz, S. Newhouse.
Pitman Res. Notes in Math. series, 362. Longman 1996. 167--181.
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Cantor sets in the line: Scaling functions and the
smoothness of the shift-map.
Co-author: F. Tangerman.
Nonlinearity 9 (1996), 403--412.
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On the transfer operator for rational functions on
the Riemann sphere.
Co-authors: M. Denker, M. Urba\'nski.
Ergodic Theory and Dynamical Systems 16 (1996), 255--266.
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Iterations of holomorphic Collet-Eckmann maps:
Conformal and invariant measures.
Transactions of the AMS 350.2 (1998), 717--742.
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When do to rational functions have the same Julia
set ?
Co-author: G. Levin.
Proceedings of the American Mathematical Society, 125.7 (1997),
2179--2190.
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Accessibility of typical points for invariant measures
of positive Lyapunov exponents for iterations of holomorphic maps.
Fundamenta Mathematicae 144 (1994), 259--278.
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Density of periodic sources in the boundary of
a basin of attraction for iteration of holomorphic maps: geometric coding
trees technique.
Co-author: A. Zdunik.
Fundamenta Mathematicae 145 (1994), 65--77.