×

zbMATH — the first resource for mathematics

Topological weak mixing of flows on surfaces. (Mélange faible topologique des flots sur les surfaces.) (French) Zbl 1053.37502
From the text: Details are given for the result announced in [C. R. Acad. Sci., Paris, Sér. I 324, No. 6, 669–672 (1997; Zbl 0889.58050)]: For almost every orientable quadratic differential form on a surface of genus greater than two, provided with the canonical measure, the associated vertical flow is topologically weakly mixing. This extends results of A. C. R. Nogueira and D. J. Rudolph [ibid. 17, No. 5, 1183–1209 (1997; Zbl 0958.37010)].

MSC:
37A25 Ergodicity, mixing, rates of mixing
54H20 Topological dynamics (MSC2010)
37C10 Dynamics induced by flows and semiflows
37E99 Low-dimensional dynamical systems
PDF BibTeX XML Cite
Full Text: DOI