Linearization of conservative toral homeomorphisms
نویسندگان
چکیده
منابع مشابه
Linearisation of conservative toral homeomorphisms
We give an equivalent characterisation of the semi-conjugacy class of an irrational rotation within the space of conservative homeomorphisms of the two-torus. This leads to an analogue of Poincaré’s classification of circle homeomorphisms for conservative toral homeomorphisms with unique rotation vector and a certain bounded mean motion property. For minimal toral homeomorphisms, the result ext...
متن کاملLinearisation of conservative toral homeomorphisms and toral flows
We prove an analogue of Poincaré’s classification of circle homeomorphisms for conservative homeomorphisms of the two-torus with unique rotation vector and a certain bounded mean motion property. In particular, this provides an equivalent characterisation of the semi-conjugacy class of an irrational rotation within the space of conservative toral homeomorphisms. For minimal toral homeomorphisms...
متن کاملar X iv : 0 80 3 . 24 28 v 3 [ m at h . D S ] 1 9 N ov 2 00 8 Linearization of conservative toral homeomorphisms
We give an equivalent condition for the existence of a semi-conjugacy to an irrational rotation for conservative homeomorphisms of the two-torus. This leads to an analogue of Poincaré's classification of circle homeomorphisms for conservative toral homeomor-phisms with unique rotation vector and a certain bounded mean motion property. For minimal toral homeomorphisms, the result extends to arbi...
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A conservative irrational pseudo-rotation of the two-torus is semi-conjugate to the irrational rotation if and only if it has the property of bounded mean motion [1]. (Here ‘irrational pseudo-rotation’ means a toral homeomorphism with a unique and totally irrational rotation vector.) The aim of this note is to explore this concept some further. For instance, we provide an example which shows th...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2008
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-008-0171-5