Intrinsic Ergodicity of Open dynamical systems for the doubling map
Barrera, Rafael Alcaraz
Original · EN
We give sufficient conditions for intervals (a,b) such that the associated open dynamical system for the doubling map is intrinsically ergodic. We also show that the set of parameters (a,b) ∈ (1/4, 1/2) × (1/2,3/4) such that the attractor (Λ₍ₐ,b₎, f₍ₐ,b₎) is intrinsically ergodic has full Lebesgue measure and we construct a set of points where intrinsic ergodicity does not hold.
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