On the uniqueness of the ergodic maximal function
Lasha Ephremidze (2002)
Fundamenta Mathematicae
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It is proved that the ergodic maximal operator is one-to-one.
Displaying similar documents to “A weighted ergodic maximal equality for nonsingular semiflows”
On the uniqueness of the ergodic maximal function
On the uniqueness of the uncentered ergodic maximal function
Paul Alton Hagelstein (2004)
Fundamenta Mathematicae
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It is shown that if two functions share the same uncentered (two-sided) ergodic maximal function, then they are equal almost everywhere.
On the integrability of the ergodic maximal function
Burgess Davis (1982)
Studia Mathematica
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Some Open Problems in Ergodic Theory
Donald S. Ornstein (1975)
Publications mathématiques et informatique de Rennes
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A note on a mean ergodic theorem
A. Al-Hussaini (1974)
Annales Polonici Mathematici
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Korovkin sets and mean ergodic theorems.
Nishishiraho, Toshihiko (1998)
Journal of Convex Analysis
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On weighted inequalities for ergodic operators
Hugo Aimar (1985)
Studia Mathematica
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Finite generators of ergodic endomorphisms
Zbigniew S. Kowalski (1984)
Colloquium Mathematicae
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The filling scheme and the ergodic theorems of Kesten and Tanny
Janusz Woś (1987)
Colloquium Mathematicae
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Hopf's ratio ergodic theorem by inducing
Roland Zweimüller (2004)
Colloquium Mathematicae
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We present a very quick and easy proof of the classical Stepanov-Hopf ratio ergodic theorem, deriving it from Birkhoff's ergodic theorem by a simple inducing argument.
An ergodic theorem without invariant measure
R. Sato (1990)
Colloquium Mathematicae
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Ergodic automorphisms whose weak closure of off-diagonal measures consists of ergodic self-joinings
Y. Derriennic, K. Frączek, M. Lemańczyk, F. Parreau (2008)
Colloquium Mathematicae
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Basic ergodic properties of the ELF class of automorphisms, i.e. of the class of ergodic automorphisms whose weak closure of measures supported on the graphs of iterates of T consists of ergodic self-joinings are investigated. Disjointness of the ELF class with: 2-fold simple automorphisms, interval exchange transformations given by a special type permutations and time-one maps of measurable flows is discussed. All ergodic Poisson suspension automorphisms as well as dynamical systems...
Ergodic theorem, reversibility and the filling scheme
Yves Derriennic (2010)
Colloquium Mathematicae
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The aim of this short note is to present in terse style the meaning and consequences of the "filling scheme" approach for a probability measure preserving transformation. A cohomological equation encapsulates the argument. We complete and simplify Woś' study (1986) of the reversibility of the ergodic limits when integrability is not assumed. We give short and unified proofs of well known results about the behaviour of ergodic averages, like Kesten's lemma (1975). The strikingly simple...
Ergodic averages with generalized weights
Doğan Çömez, Semyon N. Litvinov (2006)
Studia Mathematica
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Two types of weighted ergodic averages are studied. It is shown that if F = {Fₙ} is an admissible superadditive process relative to a measure preserving transformation, then a Wiener-Wintner type result holds for F. Using this result new good classes of weights generated by such processes are obtained. We also introduce another class of weights via the group of unitary functions, and study the convergence of the corresponding weighted averages. The limits of such weighted averages are...
A remark on the existence of the ergodic Hilbert transform
J. Woś (1987)
Colloquium Mathematicae
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Operators with an ergodic power
Teresa Bermúdez, Manuel González, Mostafa Mbekhta (2000)
Studia Mathematica
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We prove that if some power of an operator is ergodic, then the operator itself is ergodic. The converse is not true.
Ergodic States in a Non Commutative Ergodic Theory
S. Doplicher, D. Kastler (1968)
Recherche Coopérative sur Programme n°25
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A property of ergodic flows
Maria Joiţa, Radu-B. Munteanu (2014)
Studia Mathematica
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We introduce a property of ergodic flows, called Property B. We prove that an ergodic hyperfinite equivalence relation of type III₀ whose associated flow has this property is not of product type. A consequence is that a properly ergodic flow with Property B is not approximately transitive. We use Property B to construct a non-AT flow which-up to conjugacy-is built under a function with the dyadic odometer as base automorphism.
The Speed of Convergence in Ergodic Theorem.
Karl Petersen, Shizuo Kakutani (1981)
Monatshefte für Mathematik
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Local ergodic theorems.
Teresa Bermúdez, Manuel González, Mostafa Mbekhta (1998)
Extracta Mathematicae
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