Geodesic
Disjointness of the convolutionsfor Chacon's automorphism
Colloquium Mathematicum, Tome 84 (2000) no. 1, pp. 67-74 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

The purpose of this paper is to show that if σ is the maximal spectral type of Chacon's transformation, then for any d ≠ d' we have $σ^{*d} ⊥ σ^{*d'}$. First, we establish the disjointness of convolutions of the maximal spectral type for the class of dynamical systems that satisfy a certain algebraic condition. Then we show that Chacon's automorphism belongs to this class.
DOI : 10.4064/cm-84/85-1-67-74

A. Prikhod'ko 1 ; V. Ryzhikov 1

1 
@article{10_4064_cm_84_85_1_67_74,
     author = {A. Prikhod'ko and V. Ryzhikov},
     title = {Disjointness of the convolutionsfor {Chacon's} automorphism},
     journal = {Colloquium Mathematicum},
     pages = {67--74},
     year = {2000},
     volume = {84},
     number = {1},
     doi = {10.4064/cm-84/85-1-67-74},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-1-67-74/}
}
TY  - JOUR
AU  - A. Prikhod'ko
AU  - V. Ryzhikov
TI  - Disjointness of the convolutionsfor Chacon's automorphism
JO  - Colloquium Mathematicum
PY  - 2000
SP  - 67
EP  - 74
VL  - 84
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-1-67-74/
DO  - 10.4064/cm-84/85-1-67-74
LA  - en
ID  - 10_4064_cm_84_85_1_67_74
ER  - 
%0 Journal Article
%A A. Prikhod'ko
%A V. Ryzhikov
%T Disjointness of the convolutionsfor Chacon's automorphism
%J Colloquium Mathematicum
%D 2000
%P 67-74
%V 84
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-1-67-74/
%R 10.4064/cm-84/85-1-67-74
%G en
%F 10_4064_cm_84_85_1_67_74
A. Prikhod'ko; V. Ryzhikov. Disjointness of the convolutionsfor Chacon's automorphism. Colloquium Mathematicum, Tome 84 (2000) no. 1, pp. 67-74. doi: 10.4064/cm-84/85-1-67-74

Cité par Sources :