This article is cited in 21 papers

Mixed spectrum reparameterizations of linear flows on $\mathbb T^2$

B. R. Fayad^ab, A. B. Katok^a, A. Windsor<sup>a

a</sup> Department of Mathematics, Pennsylvania State University
^b Université Paris 13

Abstract: We prove the existence of mixed spectrum $C^\infty$ reparameterizations of any linear flow on $\mathbb T^2$ with Liouville rotation number. For a restricted class of Liouville rotation numbers, we prove the existence of mixed spectrum real-analytic reparameterizations.

Key words and phrases: Mixed spectrum, reparameterization, special flow, Liouville, cocycle.

MSC: 37A20, 37A45, 37C05

Received: September 26, 2001; in revised form December 23, 2001

Language: English

DOI: 10.17323/1609-4514-2001-1-4-521-537

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