94 citations · 263 across the 32 of their papers we have counts for
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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…
Young Towers for Product Systems
Stefano Luzzatto, Marks Ruziboev
We show that the direct product of maps with Young towers admits a Young tower whose return times decay at a rate which is bounded above by the slowest of the rates of decay of the…
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…
SRB measures for partially hyperbolic systems whose central direction is weakly expanding
Jose F. Alves, C. L. Dias, S. Luzzatto +1
We consider partially hyperbolic \( C^{1+} \) diffeomorphisms of compact Riemannian manifolds of arbitrary dimension which admit a partially hyperbolic tangent bundle decomposition…