4 papers
Rotations and Tangent Processes on Wiener Space
M. Zakai
The paper considers (a) Representations of measure preserving transformations (``rotations'') on Wiener space, and (b) The stochastic calculus of variations induced by parameterize…
Some Ergodic Theorems for Random Rotations on Wiener Space
A. S. Ustunel, M. Zakai
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 de…
Tangent Processes on Wiener Space
Y. Hu, A. S. Ustunel, M. Zakai
This paper deals with the study of the Malliavin calculus of Euclidean motions on Wiener space, (i.e. transformations induced by general measure preserving transformations, called…
Some measure-preserving point transformations on the Wiener space and their ergodicity
A. S. Ustunel, M. Zakai
Suppose that T is a map of the Wiener space into itself, of the following type: T=I+u where u takes its values in the Cameron-Martin space H. Assume also that u is a finite sum of…