Geodesic
A non-regular Toeplitz flow with preset pure point spectrum
Studia Mathematica, Tome 120 (1996) no. 3, pp. 235-246

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Given an arbitrary countable subgroup $σ_0$ of the torus, containing infinitely many rationals, we construct a strictly ergodic 0-1 Toeplitz flow with pure point spectrum equal to $σ_0$. For a large class of Toeplitz flows certain eigenvalues are induced by eigenvalues of the flow Y which can be seen along the aperiodic parts.
DOI : 10.4064/sm-120-3-235-246
Keywords: Toeplitz sequence, pure point spectrum, strict ergodicity, group extension

T. Downarowicz 1 ;  1

1 
@article{10_4064_sm_120_3_235_246,
     author = {T. Downarowicz and  },
     title = {A non-regular {Toeplitz} flow with preset pure point spectrum},
     journal = {Studia Mathematica},
     pages = {235--246},
     publisher = {mathdoc},
     volume = {120},
     number = {3},
     year = {1996},
     doi = {10.4064/sm-120-3-235-246},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-120-3-235-246/}
}
TY  - JOUR
AU  - T. Downarowicz
AU  -  
TI  - A non-regular Toeplitz flow with preset pure point spectrum
JO  - Studia Mathematica
PY  - 1996
SP  - 235
EP  - 246
VL  - 120
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-120-3-235-246/
DO  - 10.4064/sm-120-3-235-246
LA  - en
ID  - 10_4064_sm_120_3_235_246
ER  - 
%0 Journal Article
%A T. Downarowicz
%A  
%T A non-regular Toeplitz flow with preset pure point spectrum
%J Studia Mathematica
%D 1996
%P 235-246
%V 120
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-120-3-235-246/
%R 10.4064/sm-120-3-235-246
%G en
%F 10_4064_sm_120_3_235_246
T. Downarowicz;  . A non-regular Toeplitz flow with preset pure point spectrum. Studia Mathematica, Tome 120 (1996) no. 3, pp. 235-246. doi: 10.4064/sm-120-3-235-246

Cité par Sources :