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- R. Potrie
- 2012

We prove that dynamical coherence is an open and closed property in the space of partially hyperbolic diffeomorphisms of T isotopic to Anosov. Moreover, we prove that strong partially hyperbolic… (More)

- R. Potrie, ANDRÉS SAMBARINO
- 2014

We show that the critical exponent of a representation ρ in the Hitchin component of PSL(d,R) is bounded above, the least upper bound being attained only in the Fuchsian locus. This provides a rigid… (More)

- Pablo Monzón, R. Potrie
- 2008

We prove that for autonomous differential equations with the origin as a fixed point and with one eigenvalue with negative real part we have that the existence of a density function implies local… (More)

- Todd Fisher, R. Potrie, MARTÍN SAMBARINO
- 2013

We show that partially hyperbolic diffeomorphisms of d-dimensional tori isotopic to an Anosov diffeomorphism, where the isotopy is contained in the set of partially hyperbolic diffeomorphisms, are… (More)

- Pablo Monzón, R. Potrie
- Proceedings of the 45th IEEE Conference on…
- 2006

In this work we introduce several known and new results on almost global stability. We focus on how local properties of equilibrium points of dynamical systems are related to the existence of density… (More)

- R. Potrie
- 2013

A classification of partially hyperbolic diffeomorphisms on 3-dimensional manifolds with (virtually) solvable fundamental group is obtained. If such a diffeomorphism does not admit a periodic… (More)

- A. Hammerlindl, R. Potrie
- 2013

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 with nilpotent,… (More)

We prove that a homeomorphism of the torus homotopic to the identity whose rotation set is reduced to a single totally irrational vector is chain-recurrent. In fact, we show that pseudo-orbits can be… (More)

We study, for C generic diffeomorphisms, homoclinic classes which are Lyapunov stable both for backward and forward iterations. We prove they must admit a dominated splitting and show that under some… (More)

- A. Hammerlindl, R. Potrie
- J. London Math. Society
- 2014

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 with nilpotent,… (More)