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@article{Avila:2018:JEMS/805,
author = {Avila, A and Cheraghi, D},
doi = {JEMS/805},
journal = {Journal of the European Mathematical Society},
pages = {2005--2062},
title = {Statistical properties of quadratic polynomials with a neutral fixed point},
url = {http://dx.doi.org/10.4171/JEMS/805},
volume = {20},
year = {2018}
}

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TY  - JOUR
AB  - We describe the statistical properties of the dynamics of the quadraticpolynomials P_a(z):=e^{2\pi a i} z+z^2 on the complex plane, with a of high return times. In particular, we show that these maps are uniquely ergodic on their measure theoretic attractors, and the unique invariant probability is a physical measure describing the statistical behavior of typical orbits in the Julia set. This confirms a conjecture of Perez-Marco on the unique ergodicity of hedgehog dynamics, in this class of maps.
AU  - Avila,A
AU  - Cheraghi,D
DO  - JEMS/805
EP  - 2062
PY  - 2018///
SN  - 1435-9855
SP  - 2005
TI  - Statistical properties of quadratic polynomials with a neutral fixed point
T2  - Journal of the European Mathematical Society
UR  - http://dx.doi.org/10.4171/JEMS/805
UR  - http://hdl.handle.net/10044/1/28360
VL  - 20
ER  -

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