On the regularization of conservative maps

67 citations recorded by the source corpus.

We show that smooth maps are C1-dense among C1 volume-preserving maps.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Entropy along expanding foliations (2016, methodology): “Theorem C contains abundance of systems: By Avila [6], C volume preserving diffeomorphisms are C(1) dense.”
Physical measures and absolute continuity for one-dimensional center direction (2013, unknown): “Two weaker forms of absolute continuity are considered by Avila, Viana and Wilkinson [15,16].”
New criteria for ergodicity and nonuniform hyperbolicity (2009, unknown): “Avila, proving the C(1)-denseness of smooth diffeomorphisms among C(1)-volume preserving diffeomorphisms [6].”
C1 density of stable ergodicity (2017, methodology): “C1 residual set of C1 partially hyperbolic dieomorphisms there is a globally dominated, nonuniformly hyperbolic splitting E+ E . Using the density of C1 volume preserving dieomorphisms among the C2 [Av] and a semicontinuity argument, one obtains a C1 open and dense set of C2, colume-preserving parti”