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859
Spectral multiplicities for infinite measure preserving transformations
"... Abstract. Each subset E ⊂ N is realized as the set of essential values of the multiplicity function for the Koopman operator of an ergodic conservative infinite measure preserving transformation. Let T be an ergodic conservative invertible measure preserving transformation of a σfinite standard mea ..."
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Cited by 5 (5 self)
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Abstract. Each subset E ⊂ N is realized as the set of essential values of the multiplicity function for the Koopman operator of an ergodic conservative infinite measure preserving transformation. Let T be an ergodic conservative invertible measure preserving transformation of a σfinite standard
AN OPERATOR THEORETIC CHARACTERIZATION OF ISOMORPHISM FOR MEASURE PRESERVING TRANSFORMATIONS
"... I. Introduction. Let (X,E,m) and (Y,F,n) be probability spaces, and let r and " / be measure preserving transformations of X onto X and Y onto Y respectively. We do not assume that either r or " / is invertible. The transformations r and " / are said to be isomorphic if there is a bim ..."
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I. Introduction. Let (X,E,m) and (Y,F,n) be probability spaces, and let r and " / be measure preserving transformations of X onto X and Y onto Y respectively. We do not assume that either r or " / is invertible. The transformations r and " / are said to be isomorphic if there is a
ON MULTIPLE AND POLYNOMIAL RECURRENT EXTENSIONS OF INFINITE MEASURE PRESERVING TRANSFORMATIONS
, 2009
"... Abstract. We prove that multiplerecurrence and polynomialrecurrence of invertible infinite measure preserving transformations are both properties which pass to extensions. ..."
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Abstract. We prove that multiplerecurrence and polynomialrecurrence of invertible infinite measure preserving transformations are both properties which pass to extensions.
Universal skyscraper templates for infinite measure preserving transformations, Discrete Contin
 Dyn. Syst
"... Abstract. We call an ordered set c = (c(i) : i ∈ N), of nonnegative extended real numbers c(i), a universal skyscraper template if it is the distribution of first return times for every ergodic measure preserving transformation T of an infinite Lebesgue measure space. If P i c(i) <∞, we give a fa ..."
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Cited by 4 (2 self)
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Abstract. We call an ordered set c = (c(i) : i ∈ N), of nonnegative extended real numbers c(i), a universal skyscraper template if it is the distribution of first return times for every ergodic measure preserving transformation T of an infinite Lebesgue measure space. If P i c(i) <∞, we give a
QUASIFACTORS FOR INFINITEMEASURE PRESERVING TRANSFORMATIONS
, 806
"... Abstract. This paper is a study of Glasner’s definition of quasifactors in the setting of infinitemeasure preserving system. The existence of a system with zero Krengel entropy and a quasifactor with positive entropy is obtained. On the other hand, relative zeroentropy for conservative systems i ..."
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Abstract. This paper is a study of Glasner’s definition of quasifactors in the setting of infinitemeasure preserving system. The existence of a system with zero Krengel entropy and a quasifactor with positive entropy is obtained. On the other hand, relative zeroentropy for conservative systems
Limit laws for distorted return time processes for infinite measure preserving transformations
, 2005
"... We consider conservative ergodic measure preserving transformations on infinite measure spaces and investigate the asymptotic behaviour of distorted return time processes with respect to sets satisfying a type of DarlingKac condition. As applications we derive asymptotic laws for the normalized Ka ..."
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Cited by 2 (2 self)
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We consider conservative ergodic measure preserving transformations on infinite measure spaces and investigate the asymptotic behaviour of distorted return time processes with respect to sets satisfying a type of DarlingKac condition. As applications we derive asymptotic laws for the normalized
Measurepreserving transformations of Volterra Gaussian processes and related bridges
, 2006
"... processes and related bridges ..."
6. P.R. Halmos, Approximation theories for measure preserving transformations,
"... 3. R. Bowen, Entropy for group endomorphisms and homogeneous spaces, Trans. ..."
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3. R. Bowen, Entropy for group endomorphisms and homogeneous spaces, Trans.
Results 1  10
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