Ergodic Theory and Dynamical Systems
- Ergodic Theory and Dynamical Systems / Volume 32 / Issue 02 / April 2012, pp 517-534
- Copyright © Cambridge University Press 2011
- DOI: http://dx.doi.org/10.1017/S0143385710000672 (About DOI), Published online: 14 March 2011
Research Article
New spectral multiplicities for mixing transformations
ALEXANDRE I. DANILENKOa1
a1 Institute for Low Temperature Physics and Engineering of Ukrainian National Academy of Sciences, 47 Lenin Avenue, Kharkov, 61164, Ukraine (email: alexandre.danilenko@gmail.com)
Abstract
It is shown that if E is a subset of 
such that 1∈E or 2∈E then there is a mixing transformation whose set of spectral multiplicities is E.
(Received August 23 2010)
(Revised September 14 2010)
(Online publication March 14 2011)
Footnotes
Dedicated to the memory of Dan Rudolph
