A. I. Danilenko

activity

20082026

most citedOn self-similarities of ergodic flows

26 citations · 55 across the 25 of their papers we have counts for

collaborators

Showing 2010Show all

3 papers · 1 filter

math.DS2010★ 26 cited

On self-similarities of ergodic flows

Alexandre I. Danilenko, Valery V. Ryzhikov

Given an ergodic flow $T = (T_{t})_{t \in R}$ , let $I (T)$ be the set of reals $s \neq = 0$ for which the flows $(T_{s t})_{t \in R}$ and $T$ are isomorphic. It is proved that $I (T)$ i…

math.DS2010

Spectral multiplicities for ergodic flows

Alexandre I. Danilenko, Mariusz Lemańczyk

Let $E$ be a subset of positive integers such that $E \cap {1, 2} \neq = \emptyset$ . A weakly mixing finite measure preserving flow $T = (T_{t})_{t \in R}$ is constructed such that the se…

math.DS2010

Ergodic Abelian actions with homogeneous spectrum

Alexandre I. Danilenko, Anton V. Solomko

It is shown that for each $N > 0$ and for a wide class of Abelian non-compact locally compact second countable groups $G$ including all infinite countable discrete ones and $\Bbb R^{…