title: Regular and stochastic dynamics in the real quadratic family.
abstract: 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.
authors.affiliation: Institute for Mathematical Sciences, State University of New York, Stony Brook, NY 11794, USA.
authors.forename: M
authors.initials: M
authors.lastname: Lyubich