# A non-regular Toeplitz flow with preset pure point spectrum

Studia Mathematica (1996)

- Volume: 120, Issue: 3, page 235-246
- ISSN: 0039-3223

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topDownarowicz, T., and Lacroix, Y.. "A non-regular Toeplitz flow with preset pure point spectrum." Studia Mathematica 120.3 (1996): 235-246. <http://eudml.org/doc/216334>.

@article{Downarowicz1996,

abstract = {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.},

author = {Downarowicz, T., Lacroix, Y.},

journal = {Studia Mathematica},

keywords = {Toeplitz sequence; pure point spectrum; strict ergodicity; group extension},

language = {eng},

number = {3},

pages = {235-246},

title = {A non-regular Toeplitz flow with preset pure point spectrum},

url = {http://eudml.org/doc/216334},

volume = {120},

year = {1996},

}

TY - JOUR

AU - Downarowicz, T.

AU - Lacroix, Y.

TI - A non-regular Toeplitz flow with preset pure point spectrum

JO - Studia Mathematica

PY - 1996

VL - 120

IS - 3

SP - 235

EP - 246

AB - 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.

LA - eng

KW - Toeplitz sequence; pure point spectrum; strict ergodicity; group extension

UR - http://eudml.org/doc/216334

ER -

## References

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- [W] S. Williams, Toeplitz minimal flows which are not uniquely ergodic, Z. Wahrsch. Verw. Gebiete 67,(1984), 95-107. Zbl0584.28007

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