Geodesic
Weak limits of powers, simple spectrum of
Sbornik. Mathematics, Tome 198 (2007) no. 5, pp. 733-754

Voir la notice de l'article provenant de la source Math-Net.Ru

A class of automorphisms of the Lebesgue space such that their symmetric powers have simple spectrum is considered. In the framework of rank-one constructions mixing automorphisms with this property are constructed. The paper also contains results on weak limits, the local rank, and the spectral multiplicity of powers of automorphisms. Spectral properties of the stochastic Chacon automorphism are discussed. Bibliography: 23 titles. 
@article{SM_2007_198_5_a6,
     author = {V. V. Ryzhikov},
     title = {Weak limits of powers, simple spectrum of},
     journal = {Sbornik. Mathematics},
     pages = {733--754},
     publisher = {mathdoc},
     volume = {198},
     number = {5},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2007_198_5_a6/}
}
TY  - JOUR
AU  - V. V. Ryzhikov
TI  - Weak limits of powers, simple spectrum of
JO  - Sbornik. Mathematics
PY  - 2007
SP  - 733
EP  - 754
VL  - 198
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2007_198_5_a6/
LA  - en
ID  - SM_2007_198_5_a6
ER  - 
%0 Journal Article
%A V. V. Ryzhikov
%T Weak limits of powers, simple spectrum of
%J Sbornik. Mathematics
%D 2007
%P 733-754
%V 198
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2007_198_5_a6/
%G en
%F SM_2007_198_5_a6
V. V. Ryzhikov. Weak limits of powers, simple spectrum of. Sbornik. Mathematics, Tome 198 (2007) no. 5, pp. 733-754. http://geodesic.mathdoc.fr/item/SM_2007_198_5_a6/