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Asymptotic stability of densities for piecewise convex maps

100%

Inoue T.

Annales Polonici Mathematici

1992

tom 57

nr 1

83-90

We study the asymptotic stability of densities for piecewise convex maps with flat bottoms or a neutral fixed point. Our main result is an improvement of Lasota and Yorke's result ([5], Theorem 4).

Invariant measures for position dependent random maps with continuous random parameters

100%

Inoue T.

Studia Mathematica

2012

tom 208

nr 1

11-29

We consider a family of transformations with a random parameter and study a random dynamical system in which one transformation is randomly selected from the family and applied on each iteration. The parameter space may be of cardinality continuum. Further, the selection of the transformation need not be independent of the position in the state space. We show the existence of absolutely continuous invariant measures for random maps on an interval under some conditions.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Studia Mathematica

2 Inoue T.

1 2012

1 1992

Wyniki wyszukiwania

Asymptotic stability of densities for piecewise convex maps

Invariant measures for position dependent random maps with continuous random parameters