Random perturbations of transformations of an interval |
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Authors: | A Katok Y Kifer |
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Institution: | (1) Department of Mathematics, California Institute of Technology, 91125 Pasadena, CA, USA;(2) Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel |
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Abstract: | Let με be invariant measures of the Markov chainsx
n
F
which are small random perturbations of an endomorphismf of the interval 0,1] satisfying the conditions of Misiurewicz 6]. It is shown here that in the ergodic case με converges as ε→0 to the smoothf-invariant measure which exists according to 6]. This result exhibits the first example of stability with respect to random
perturbations while stability with respect to deterministic perturbations does not take place. |
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Keywords: | |
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