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Some Ergodic Theorems for Random Rotations on Wiener Space

A. S. Ustunel·M. Zakai
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Abstract

In this paper we study ergodicity and mixing property of some measure preserving transformations on the Wiener space (W,H,μ) which are generated by some random unitary operators defined on the Cameron-Martin space H.

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A. S. Ustunel, M. Zakai. 2001-10-16. Some Ergodic Theorems for Random Rotations on Wiener Space. https://arxiv.org/abs/math/0110162

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