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ON THE UNIQUENESS PROPERTY FOR PRODUCTS OF SYMMETRIC INVARIANT PROBABILITY MEASURES
"... 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 QuasiInvariant PROBABILITY MEASURES
, 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 quasiinvariant 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 quasiinvariant under a
LasotaYorke Maps With Holes: Conditionally Invariant Probability Measures And Invariant Probability Measures On The Survivor Set
, 2001
"... Let T : I ! I be a LasotaYorke map on the interval I, let Y be a non trivial subinterval 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
, 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 POSTCRITICAL SETS
, 2009
"... A wellknown 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 nonempty metrizable Choquet simplex. We show that every nonempty metrizable Choquet simplex arises as the spac ..."
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A wellknown 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 nonempty metrizable Choquet simplex. We show that every nonempty metrizable Choquet simplex arises
WANDERING INTERVALS AND ABSOLUTELY CONTINUOUS INVARIANT PROBABILITY MEASURES OF INTERVAL MAPS
, 2009
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Invariant probability measures and nonwandering sets for impulsive semiflows
 J. Stat. Phys
"... ar ..."
A GENERIC C 1 MAP HAS NO ABSOLUTELY CONTINUOUS INVARIANT PROBABILITY MEASURE
, 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 finvariant ..."
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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 finvariant
Markov chains with transition deltamatrix: ergodicity conditions, invariant probability measures and applications
 JAMSA
, 1991
"... A large class of Markov chains with socalled Am, n and ..."
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A large class of Markov chains with socalled Am, n and
Results 1  10
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39,853