Exponential speed of mixing for skew-products with singularities
نویسندگان
چکیده
Let f : [0, 1]× [0, 1]\{1/2} → [0, 1]× [0, 1] be the C∞ endomorphism given by f(x, y) = ( 2x− b2xc, y + c |x− 1/2| − ⌊ y + c |x− 1/2| ⌋) , c ∈ IR We prove that f is topologically mixing and if c > 1/4 then f is mixing with respect to Lebesgue measure. Furthermore we prove that the speed of mixing is exponential. This skew-product can be seen as a toy-model related to Lorenz-like attractors. 2000 Mathematics Subject Classification: 37D30, 37C29, 37E30.
منابع مشابه
Stretched-exponential Mixing for C 1+α Skew Products with Discontinuities
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