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- W2213502955 abstract "Let T = {τ 1 (x), τ 2 (x),…, τ K (x); p 1 (x), p 2 (x),…, p K (x)} be a position dependent random map which possesses a unique absolutely continuous invariant measure [Formula: see text] with probability density function [Formula: see text]. We consider a family {T N } N≥1 of stochastic perturbations T N of the random map T. Each T N is a Markov process with the transition density [Formula: see text], where q N (x, ⋅) is a doubly stochastic periodic and separable kernel. Using Fourier approximation, we construct a finite dimensional approximation P N to a perturbed Perron–Frobenius operator. Let [Formula: see text] be a fixed point of P N . We show that [Formula: see text] converges in L 1 to [Formula: see text]." @default.
- W2213502955 created "2016-06-24" @default.
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- W2213502955 date "2015-08-01" @default.
- W2213502955 modified "2023-10-16" @default.
- W2213502955 title "Stochastic Perturbations and Invariant Measures of Position Dependent Random Maps via Fourier Approximations" @default.
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- W2213502955 doi "https://doi.org/10.1142/s0218127415501126" @default.
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