3 citations · 6 across the 5 of their papers we have counts for
9 papers · 1 filter
Ergodicity Of Partially Hyperbolic Endomorphisms
Andy Hammerlindl, Audrey Tyler
We prove that for volume preserving, partially hyperbolic, center bunched endomorphisms with constant Jacobian, essential accessibility implies ergodicity.
Horizontality of partially hyperbolic foliations
Andy Hammerlindl, Rafael Potrie
We show exactly which Seifert manifolds support partially hyperbolic dynamical systems. In particular, a circle bundle over a higher-genus surface supports a partially hyperbolic s…
Classification of partially hyperbolic surface endomorphisms
Layne Hall, Andy Hammerlindl
We show that in the absence of periodic centre annuli, a partially hyperbolic surface endomorphism is dynamically coherent and leaf conjugate to its linearisation. We proceed to ch…
Accessibility of derived-from-Anosov systems
Andy Hammerlindl, Yi Shi
This paper shows any non-Anosov partially hyperbolic diffeomorphism on the 3-torus which is homotopic to Anosov must be accessible.
Ergodicity and partial hyperbolicity on Seifert manifolds
Andy Hammerlindl, Jana Rodriguez Hertz, Raul Ures
We show that conservative partially hyperbolic diffeomorphism isotopic to the identity on Seifert 3-manifolds are ergodic.
Global manifold structure of a continuous-time heterodimensional cycle
Andy Hammerlindl, Bernd Krauskopf, Gemma Mason +1
A heterodimensional cycle consists of a pair of heteroclinic connections between two saddle periodic orbits with unstable manifolds of different dimensions. Recent theoretical work…