279 citations
- National Academy of Sciences of UkraineUA174 papers
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Showing 2009 · math.DSShow all
3 papers · 2 filters
math.DS2009
Rank-one flows of transformations with infinite ergodic index
Alexandre I. Danilenko, Kyewon K. Park
A rank-one infinite measure preserving flow is constructed such that for each , the Cartesian powers of the transformation are all ergodic.
math.DS2009★ 1 cited
New spectral multiplicities for mixing transformations
Alexandre I. Danilenko
It is shown that if is any subset of such that either or then there is a mixing transformation whose set of spectral multiplicities is .
math.DS2009★ 2 cited
On new spectral multiplicities for ergodic maps
Alexandre I. Danilenko
It is shown that each subset of positive integers that contains 2 is realizable as the set of essential values of the multiplicity function for the Koopman operator of some weakly…