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A non-regular Toeplitz flow with preset pure point spectrum

100%

Downarowicz T., Lacroix Y.

Studia Mathematica

1996

tom 120

nr 3

235-246

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.

Toeplitz flows with pure point spectrum

100%

Iwanik A.

Studia Mathematica

1996

tom 118

nr 1

27-35

We construct strictly ergodic 0-1 Toeplitz flows with pure point spectrum and irrational eigenvalues. It is also shown that the property of being regular is not a measure-theoretic invariant for strictly ergodic Toeplitz flows.

Ograniczanie wyników

2 Studia Mathematica

1 Downarowicz T.

1 Iwanik A.

1 Lacroix Y.

2 1996

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A non-regular Toeplitz flow with preset pure point spectrum

Toeplitz flows with pure point spectrum