Regular and stochastic dynamics in the real quadratic family.
We prove the Regulat or Stochastic Conjecture for the real quadratic family which asserts that almost every real quadratic map Pc, c in [-2, 1/4], has either an attracting cycle or an absolutely continuous invariant measure.
Lyubich
M
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Institute for Mathematical Sciences, State University of New York, Stony Brook, NY 11794, USA.