Generic expanding maps without absolutely continuous invariant $\sigma$-finite measure
نویسندگان
چکیده
منابع مشابه
. D S ] 2 A ug 2 00 6 GENERIC EXPANDING MAPS WITHOUT ABSOLUTELY CONTINUOUS INVARIANT σ - FINITE MEASURE
If f is a measurable transformation of a Lebesgue measure space (X,A, λ) to itself, that does not preserve the measure λ, one can study the invariant measures of f and compare them to λ. A especially interesting case is when f is non-singular with respect to λ (in the sense thatλ(A) = 0 iff λ( f(A)) = 0), but nevertheless there exist no σ-finite invariant measure which is absolutely continuous ...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2007
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2007.v14.n5.a1