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On the regularity of the composition of diffeomorphisms
composition diffeomorphisms Analysis of PDEs
2011/8/24
Abstract: For $M$ being a closed manifold or the Euclidean space we present a detailed proof of regularity properties of the composition of $H^s$-regular diffeomorphisms of $M$ for $s > 1/2\dim M + 1$...
The Entropy Conjecture for Diffeomorphisms away from Tangencies
Entropy conjecture principal symbolic extensions
2011/1/17
We prove that every C1 diffeomorphism away from homoclinic tangencies is entropy expansive, with locally uniform expansivity constant.Consequently, such diffeomorphisms satisfy Shub’s entropy conjectu...