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2016

2016

A sequence of Markov chains is said to exhibit (total variation) cutoff if the convergence to stationarity in total variation…

2014

2014

In [11], employing the technique of noncommutative interpolation, a maximal ergodic theorem in noncommutative Lp-spaces, 1 < p…

2009

2009

We provide an elementary proof of Y. Peres' lemma on the existence in certain dynamical systems of what we term heavy points…

1999

1999

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

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

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

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

Introduction. The purpose of this paper is to extend various known results in operator ergodic theory to give a direct approach…

1963

1963

Abstract : The powerful and ingenious method of Chacon and Ornstein (Illinois J. Math. 4:153-160 (1960)), later simplified by E…