2 citations · 3 across the 3 of their papers we have counts for
2 papers
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…