12 citations · 17 across the 9 of their papers we have counts for
12 papers
-Contact Anosov flows
Cheikh Khoule, Matheus Manso, Ameth Ndiaye +1
We prove that smooth reparametrizations of the geodesic flow on a manifold of constant negative curvature are contact Anosov flows. In particular we give a new class of exponential…
Partially hyperbolic symplectomorphism with C^1 bundles
Eramane Bodian, Khadim War
We prove dynamical coherence for partial hyperbolic symplectomorphism in dimension 4 whose stable and unstable bundles are C^1.
Finite Time Hyperbolic Coordinates
Stefano Luzzatto, Dominic Veconi, Khadim War
We define finite-time hyperbolic coordinates, describe their geometry, and prove various results on both their convergence as the time scale increases, and on their variation in th…
Counting geodesic loops on surfaces of genus at least 2 without conjugate points
Mark Pollicott, Khadim War
In this paper we prove asymptotic estimates for closed geodesic loops on compact surfaces with no conjugate points. These generalize the classical counting results of Huber and Mar…
Proof of the Verjovsky Conjecture
Khadim War
In this paper we present a proof of the Verjovsky conjecture: Every codimension-one Anosov flow on a manifold of dimension greater than three is topologically equivalent to the sus…
Closed geodesics on surfaces without conjugate points
Vaughn Climenhaga, Gerhard Knieper, Khadim War
We obtain Margulis-type asymptotic estimates for the number of free homotopy classes of closed geodesics on certain manifolds without conjugate points. Our results cover all compac…
Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points
Vaughn Climenhaga, Gerhard Knieper, Khadim War
We prove that for closed surfaces with Riemannian metrics without conjugate points and genus the geodesic flow on the unit tangent bundle has a unique measure o…
Open Sets of Exponentially Mixing Anosov Flows
Oliver Butterley, Khadim War
We prove that an Anosov flow with stable bundle mixes exponentially whenever the stable and unstable bundles are not jointly integrable. This allows us to show th…
Integrability of Continuous Bundles
Stefano Luzzatto, Sina Tureli, Khadim War
We give new sufficient conditions for the integrability and unique integrability of continuous tangent sub-bundles on manifolds of arbitrary dimension, generalizing Frobenius' clas…
A Frobenius Theorem for Corank-1 Continuous Distributions in Dimensions two and three
Stefano Luzzatto, Sina Tureli, Khadim War
We formulate a notion of (uniform) asymptotic involutivity and show that it implies (unique) integrability of corank-1 continuous distributions in dimensions three or less. This ge…
Integrability of dominated decompositions on three-dimensional manifolds
Stefano Luzzatto, Sina Tureli, Khadim War
We investigate the integrability of 2-dimensional invariant distributions (tangent sub-bundles) which arise naturally in the context of dynamical systems on 3-manifolds. In particu…
Integrability of C^1 invariant splittings
Stefano Luzzatto, Sina Tureli, Khadim War
We derive some new conditions for integrability of dynamically defined C^1 invariant splittings in arbitrary dimension and co-dimension. In particular we prove that every 2-dimensi…