Transitivity of conservative toral endomorphisms
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...
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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...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2016
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/29/3/1047