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Some thoughts about Segal's ergodic theorem

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Stroock D.

Colloquium Mathematicum

2010

tom 118

nr 1

89-105

Over fifty years ago, Irving Segal proved a theorem which leads to a characterization of those orthogonal transformations on a Hilbert space which induce ergodic transformations. Because Segal did not present his result in a way which made it readily accessible to specialists in ergodic theory, it was difficult for them to appreciate what he had done. The purpose of this note is to state and prove Segal's result in a way which, I hope, will win it the recognition which it deserves.

A remarkably interesting, simple P.D.E.

100%

Stroock D.

Banach Center Publications

2006

tom 72

nr 1

327-331

In this note, I will summarize and make a couple of small additions to some results which I obtained earlier with David Williams in [1]. Williams and I hope to expand and refine these additions in a future paper based on work that is still in process.

Ograniczanie wyników

1 Banach Center Publications

1 Colloquium Mathematicum

2 Stroock D.

1 2010

1 2006

Wyniki wyszukiwania

Some thoughts about Segal's ergodic theorem

A remarkably interesting, simple P.D.E.