Upper bounds for ergodic sums of infinite measure preserving transformations

Jon Aaroson, Manfred Heinz Denker

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

For certain conservative, ergodic, infinite measure preserving transformations T we identify increasing functions A, for which holds for any nonnegative integrable function I. In particular the results apply to some Markov shifts and number-theoretic transformations, and include the other law of the iterated logarithm.

Original languageEnglish (US)
Pages (from-to)101-138
Number of pages38
JournalTransactions of the American Mathematical Society
Volume319
Issue number1
DOIs
StatePublished - Jan 1 1990

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Measure-preserving Transformations
Law of the Iterated Logarithm
Increasing Functions
Non-negative
Upper bound

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Aaroson, Jon ; Denker, Manfred Heinz. / Upper bounds for ergodic sums of infinite measure preserving transformations. In: Transactions of the American Mathematical Society. 1990 ; Vol. 319, No. 1. pp. 101-138.
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Upper bounds for ergodic sums of infinite measure preserving transformations. / Aaroson, Jon; Denker, Manfred Heinz.

In: Transactions of the American Mathematical Society, Vol. 319, No. 1, 01.01.1990, p. 101-138.

Research output: Contribution to journalArticle

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