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Graph-theoretic bound on number of A.C.I.M. for random transformation

Author: Paweł Góra
Journal: Proc. Amer. Math. Soc. 116 (1992), 401-410
MSC: Primary 28D05
MathSciNet review: 1094502
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Abstract: Upper and lower bounds are given for the number of ergodic absolutely continuous invariant measures for a general random map. They are based on a communication graph describing the interaction of deterministic transformations used to define the random one. In particular, the case of piecewise expanding transformations is discussed.

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Article copyright: © Copyright 1992 American Mathematical Society

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