Publication | Closed Access
Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps
91
Citations
7
References
1992
Year
Spectral TheoryCertain One-dimensional MapsPositive MeasureMeasure TheoryEngineeringInfinite Dimensional AnalysisIntegrable ProbabilityInvariant MeasuresRandom PerturbationsQuadratic FamilyProbability TheoryStochastic GeometryPoisson BoundaryFunctional AnalysisContinuous Invariant MeasuresInfinite Dimensional ProblemSmall Random Perturbations
Abstract We study the quadratic family and show that for a positive measure set of parameters the map has an absolutely continuous invariant measure that is stable under small random perturbations.
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