Dept. Math, Hokkaido Univ. EPrints Server

RANDOM PERTURBATIONS OF NON-SINGULAR TRANSFORMATIONS ON [0; 1]

Preprint Series # 975
IWATA, YUKIKO and OGIHARA, TOMOHIRO RANDOM PERTURBATIONS OF NON-SINGULAR TRANSFORMATIONS ON [0; 1]. (22 February 2011);

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Abstract

We consider random perturbations of non-singular measur- able transformations S on [0; 1]. By using the spectral decomposition theorem of Komornik and Lasota, we prove that the existence of the invariant densities for random perturbations of S. Moreover the densi- ties for random perturbations with small noise strongly converges to the deinsity for Perron-Frobenius operator corresponding to S with respect to L1([0; 1])-norm.

Item Type:Preprint
Additional Information:自動配送分(80部)追加
Uncontrolled Keywords:random dynamical system, spectral decomposition theorem, random perturbations
Subjects:37-xx DYNAMICAL SYSTEMS AND ERGODIC THEORY
ID Code:2138