50 citations · 183 across the 26 of their papers we have counts for
4 papers · 1 filter
A computational method to extract macroscopic variables and their dynamics in multiscale systems
Gary Froyland, Georg A. Gottwald, Andy Hammerlindl
This paper introduces coordinate-independent methods for analysing multiscale dynamical systems using numerical techniques based on the transfer operator and its adjoint. In partic…
Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group
Andy Hammerlindl, Rafael Potrie
A classification of partially hyperbolic diffeomorphisms on 3-dimensional manifolds with (virtually) solvable fundamental group is obtained. If such a diffeomorphism does not admit…
On expanding foliations
Andy Hammerlindl
Certain families of manifolds which support Anosov flows do not support expanding, quasi-isometric foliations.
Pointwise partial hyperbolicity in 3-dimensional nilmanifolds
Andy Hammerlindl, Rafael Potrie
We show the existence of a family of manifolds on which all (pointwise or absolutely) partially hyperbolic systems are dynamically coherent. This family is the set of 3-manifolds w…