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Maximal ergodic theorem

The maximal ergodic theorem is a theorem in ergodic theory, a discipline within mathematics. Suppose that is a probability space, that is a (possibly… 
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Ergodic theory

Papers overview

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2016
2016
For a sequence of irreducible aperiodic reversible Markov chains with relaxation times
A sequence of Markov chains is said to exhibit (total variation) cutoff if the convergence to stationarity in total variation… 
2014
2014
Ergodic theorems in fully symmetric spaces of $\tau-$measurable operators
In [11], employing the technique of noncommutative interpolation, a maximal ergodic theorem in noncommutative Lp-spaces, 1 < p… 
2009
2009
The spherical ergodic theorem revisited
2009
2009
Heaviness: An Extension of a Lemma of Y. Peres
We provide an elementary proof of Y. Peres' lemma on the existence in certain dynamical systems of what we term heavy points… 
1999
1999
THE VECTOR INDIVIDUAL WEIGHTED ERGODIC THEOREM FOR BOUNDED BESICOVICH SEQUENCES
In this paper we prove maximal ergodic theorem and a pointwise convergence theorem. Our result is to prove the convergence of Bn… 
Highly Cited
1988
Highly Cited
1988
On the maximal ergodic theorem for certain subsets of the integers
It is shown that the set of squares {n2|n=1, 2,…} or, more generally, sets {nt|n=1, 2,…},t a positive integer, satisfies the… 
1983
1983
New proofs for the maximal ergodic theorem and the Hardy-Littlewood maximal theorem
A new proof of the maximal ergodic theorem is presented. The same idea used in this proof is then used to show that the Hardy… 
1974
1974
An Abel-maximal ergodic theorem for semi-groups
The purpose of this paper is to prove a maximal ergodic theorem for Abel means of a strongly measurable semi-group Γ={T t ;t^0… 
1966
1966
Pointwise ergodic theorems
Introduction. The purpose of this paper is to extend various known results in operator ergodic theory to give a direct approach… 
1963
1963
On the maximal ergodic theorem for Abel-limits
Abstract : The powerful and ingenious method of Chacon and Ornstein (Illinois J. Math. 4:153-160 (1960)), later simplified by E… 
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