Mixtures of invariant non-ergodic probabilities
Rao, M.B. (1978)
Portugaliae mathematica
Similarity:
Rao, M.B. (1978)
Portugaliae mathematica
Similarity:
J. Aaronson, H. Nakada, O. Sarig (2006)
Annales de l'I.H.P. Probabilités et statistiques
Similarity:
Dalibor Volný (1987)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Yoshiaki Okazaki (1985)
Annales de l'I.H.P. Probabilités et statistiques
Similarity:
Thomas Bogenschütz, Zbigniew Kowalski (1996)
Studia Mathematica
Similarity:
We give an elementary proof for the uniqueness of absolutely continuous invariant measures for expanding random dynamical systems and study their mixing properties.
A. Kłopotowski, M. G. Nadkarni, H. Sarbadhikari, S. M. Srivastava (2002)
Fundamenta Mathematicae
Similarity:
A Borel subset of the unit square whose vertical and horizontal sections are two-point sets admits a natural group action. We exploit this to discuss some questions about Borel subsets of the unit square on which every function is a sum of functions of the coordinates. Connection with probability measures with prescribed marginals and some function algebra questions is discussed.
Ai Fan (1996)
Studia Mathematica
Similarity:
We give a simple proof of the sufficiency of a log-lipschitzian condition for the uniqueness of G-measures and g-measures which were studied by G. Brown, A. H. Dooley and M. Keane. In the opposite direction, we show that the lipschitzian condition together with positivity is not sufficient. In the special case where the defining function depends only upon two coordinates, we find a necessary and sufficient condition. The special case of Riesz products is discussed and the Hausdorff dimension...
Alexander I. Bufetov (2014)
Annales de l’institut Fourier
Similarity:
The main result of this note, Theorem 1.3, is the following: a Borel measure on the space of infinite Hermitian matrices, that is invariant and ergodic under the action of the infinite unitary group and that admits well-defined projections onto the quotient space of “corners" of finite size, must be finite. A similar result, Theorem 1.1, is also established for unitarily invariant measures on the space of all infinite complex matrices. These results imply that the infinite Hua-Pickrell...