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4 papers · 2 filters
Local rigidity of affine actions of higher rank groups and lattices
David Fisher, Gregory Margulis
Let be a semisimple Lie group with all simple factors of real rank at least two. Let be a lattice. We prove a very general local rigidity result about actions of or $…
Deformations of group actions
David Fisher
Let be a noncompact real algebraic group and $\G<G$ a lattice. One purpose of this paper is to show that there is an smooth, volume preserving, mixing action of or $\G$ on…
On the Degree Growth of Birational Mappings in Higher Dimension
Eric Bedford, Kyounghee Kim
Let be a birational map of , and consider the degree complexity, or asymptotic degree growth rate . We introduce a fami…
Real Polynomial Diffeomorphisms with Maximal Entropy: II. Small Jacobian
Eric Bedford, John Smillie
This paper concerns the Henon family of diffeomorphisms of the plane for which the absolute value of the jacobian parameter is bounded by .08. We describe the parameter locus for w…