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ON THE UNIQUENESS PROPERTY FOR PRODUCTS OF SYMMETRIC INVARIANT PROBABILITY MEASURES

by A. Kharazishvili
"... Abstract. Two symmetric invariant probability measures µ1 and µ2 are constructed such that each of them possesses the strong uniqueness property but their product µ1 × µ2 turns out to be a symmetric invariant probability measure without the uniqueness property. ..."
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Abstract. Two symmetric invariant probability measures µ1 and µ2 are constructed such that each of them possesses the strong uniqueness property but their product µ1 × µ2 turns out to be a symmetric invariant probability measure without the uniqueness property.

Ergodic Decomposition of Quasi-Invariant PROBABILITY MEASURES

by Gernot Greschonig, Klaus Schmidt , 1999
"... This paper is dedicated to Anzelm Iwanik in memory of his contributions to the subject and his personal fortitude Abstract. The purpose of this note is to prove various versions of the ergodic decomposition theorem for probability measures on standard Borel spaces which are quasi-invariant under a B ..."
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This paper is dedicated to Anzelm Iwanik in memory of his contributions to the subject and his personal fortitude Abstract. The purpose of this note is to prove various versions of the ergodic decomposition theorem for probability measures on standard Borel spaces which are quasi-invariant under a

Lasota-Yorke Maps With Holes: Conditionally Invariant Probability Measures And Invariant Probability Measures On The Survivor Set

by Carlangelo Liverani, Véronique Maume-Deschamps , 2001
"... Let T : I ! I be a Lasota-Yorke map on the interval I, let Y be a non trivial sub-interval of I and g , be a strictly positive potential which belongs to BV and admits a conformal measure m. We give constructive conditions on Y ensuring the existence of absolutely continuous (w.r.t. m) conditio ..."
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) conditionally invariant probability measures to non absorption in Y . These conditions imply also existence of an invariant probability measure on the set X1 of points which never fall into Y . Our conditions allow rather "large" holes.

Conditionally Invariant Probability Measures in Dynamical Systems

by Pierre Collet, Servet Martínez, Véronique Maume-Deschamps , 1999
"... Let T be a measurable map on a Polish space X , let Y be a non trivial subset of X . We give conditions ensuring existence of conditionally invariant probability measures (to non absorption in Y ). We also supply sufficient conditions for these probability measures to be absolutely continuous with r ..."
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Let T be a measurable map on a Polish space X , let Y be a non trivial subset of X . We give conditions ensuring existence of conditionally invariant probability measures (to non absorption in Y ). We also supply sufficient conditions for these probability measures to be absolutely continuous

CHOQUET SIMPLICES AS SPACES OF INVARIANT PROBABILITY MEASURES OF POST-CRITICAL SETS

by María Isabel Cortez, Juan Rivera-Letelier , 2009
"... A well-known consequence of the ergodic decomposition theorem is that the space of invariant probability measures of a topological dynamical system, endowed with the weak ∗ topology, is a non-empty metrizable Choquet simplex. We show that every non-empty metrizable Choquet simplex arises as the spac ..."
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A well-known consequence of the ergodic decomposition theorem is that the space of invariant probability measures of a topological dynamical system, endowed with the weak ∗ topology, is a non-empty metrizable Choquet simplex. We show that every non-empty metrizable Choquet simplex arises

WANDERING INTERVALS AND ABSOLUTELY CONTINUOUS INVARIANT PROBABILITY MEASURES OF INTERVAL MAPS

by Hongfei Cui , Yiming Ding , 2009
"... ..."
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Invariant probability measures and non-wandering sets for impulsive semiflows

by Jose ́ F. Alves, Maria Carvalho - J. Stat. Phys
"... ar ..."
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Φ-Entropy Inequality and Invariant Probability Measure for SDEs with Jump∗

by Feng-yu Wang , 2014
"... ar ..."
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A GENERIC C 1 MAP HAS NO ABSOLUTELY CONTINUOUS INVARIANT PROBABILITY MEASURE

by Artur Avila, Jairo Bochi, A. Avila, J. Bochi , 2006
"... Let M be a smooth compact manifold (maybe with boundary, maybe disconnected) of any dimension d ≥ 1. Let m be some (smooth) volume probability measure in M. Let C1 (M, M) be the set of C1 maps M → M, endowed with the C1 topology. Given f ∈ C1 (M, M), we say thatµis an acim for f ifµis an f-invariant ..."
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Let M be a smooth compact manifold (maybe with boundary, maybe disconnected) of any dimension d ≥ 1. Let m be some (smooth) volume probability measure in M. Let C1 (M, M) be the set of C1 maps M → M, endowed with the C1 topology. Given f ∈ C1 (M, M), we say thatµis an acim for f ifµis an f-invariant

Markov chains with transition delta-matrix: ergodicity conditions, invariant probability measures and applications

by Lev Abolnikov, Alexander Dukhovny - JAMSA , 1991
"... A large class of Markov chains with so-called Am, n and ..."
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A large class of Markov chains with so-called Am, n and
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