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RECURRENCE IN SYSTEMS WITH RANDOM PERTURBATIONS
Preview AbstractWe introduce the notion of (f, δ)-recurrence for the so-called (f, δ)-processes. We show that if a function of type 2∞ has no attractive periodic points of periods greater than 2N for some positive integer N and has an infinite ω-limit set, then each point belonging to its infinite ω-limit set is (f, δ)-recurrent provided that δ is small enough.