Invariant measures for Burgers equation with stochastic forcing.
E, Weinan, Khanin, K., Mazel, A., Sinai, Ya. (2000)
Annals of Mathematics. Second Series
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E, Weinan, Khanin, K., Mazel, A., Sinai, Ya. (2000)
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In this paper we provide a direct proof of hyperbolicity for a class of one-dimensional maps on the unit interval. The maps studied are degenerate forms of the standard quadratic map on the interval. These maps are important in understanding the Newhouse theory of infinitely many sinks due to homoclinic tangencies in two dimensions.
Lin, Fang-Hua (1999)
Annals of Mathematics. Second Series
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Lacey, Michael T. (2000)
Annals of Mathematics. Second Series
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