Invariant Measures of C...-Diffeomorphisms of Markov Type in R...
Approximation for the invariant measures of Markov maps in Rd.
On a Bernoulli Property of some Piecewise C2-Diffeomorphisms in ...d.
On the convergence of the iterates of the Frobenius-Perron operator associated with a Markov map defined on an interval. The lower-function approach
Distortion inequality for the Frobenius-Perron operator and some of its consequences in ergodic theory of Markov maps in
Asymptotic properties of the sequences (a) and (b) , where is the Frobenius-Perron operator associated with a nonsingular Markov map defined on a σ-finite measure space, are studied for g ∈ G = f ∈ L¹: f ≥ 0 and ⃦f ⃦ = 1. An operator-theoretic analogue of Rényi’s Condition is introduced. It is proved that under some additional assumptions this condition implies the L¹-convergence of the sequences (a) and (b) to a unique g₀ ∈ G. The general result is applied to some smooth Markov maps in ....
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