Researcher profile · Semantic Scholar

F. Hertz

h-index: 21
Works: 82
Citations: 1,373

Most-cited papers

A non-dynamically coherent example on T3
F. Hertz, M. Rodriguez-Hertz, R. Ures
201689 citations Open access
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A survey on partially hyperbolic dynamics
F. Hertz, M. Hertz, R. Ures
200680 citations Open access
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Maximizing measures for partially hyperbolic systems with compact center leaves
F. Hertz, M. Rodriguez-Hertz, A. Tahzibi, R. Ures
2010Ergodic Theory and Dynamical Systems75 citations Open access
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Stable ergodicity of certain linear automorphisms of the torus
F. Hertz
200266 citations Open access
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Homoclinic bifurcations and uniform hyperbolicity for three-dimensional flows
Aubin Arroyo, F. Hertz
200362 citations Open access
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Measure rigidity for random dynamics on surfaces and related skew products
Aaron W. Brown, F. Hertz
201553 citations Open access
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New criteria for ergodicity and nonuniform hyperbolicity
F. Hertz, J. R. Hertz, Ali Tahzibi, R. Ures
200951 citations Open access
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Uniqueness of SRB Measures for Transitive Diffeomorphisms on Surfaces
F. Hertz, M. Rodriguez-Hertz, A. Tahzibi, R. Ures
201047 citations Open access
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NONUNIFORM MEASURE RIGIDITY
B. Kalinin, A. Katok, F. Hertz
200847 citations Open access
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Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center
K. Burns, F. Hertz, M. Hertz, Anna Talitskaya +1 more
200847 citations Open access
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Global rigidity of certain Abelian actions by toral automorphisms
F. Hertz
200644 citations Open access
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Partial hyperbolicity and ergodicity in dimension three
F. Hertz, M. Hertz, R. Ures
200641 citations Open access
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Tori with hyperbolic dynamics in 3-manifolds
F. Hertz, M. Hertz, R. Ures
201040 citations Open access
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SOME RESULTS ON THE INTEGRABILITY OF THE CENTER BUNDLE FOR PARTIALLY HYPERBOLIC DIFFEOMORPHISMS
F. Hertz, R. Ures
200637 citations Open access
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Pointwise normality and Fourier decay for self-conformal measures
Amir Algom, F. Hertz, Zhi-Ren Wang
2020Advances in Mathematics32 citations Open access
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Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures
Amir Algom, F. Hertz, Zhiren Wang
202329 citations
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Flexibility of Lyapunov exponents
J. Bochi, A. Katok, F. Hertz
2019Ergodic Theory and Dynamical Systems27 citations Open access
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Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds
Aaron W. Brown, F. Hertz, Zhi-Ren Wang
2016Annals of Mathematics22 citations Open access
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Creation of blenders in the conservative setting
F. Hertz, M. Rodriguez-Hertz, A. Tahzibi, R. Ures
200922 citations Open access
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Logarithmic Fourier decay for self conformal measures
Amir Algom, F. Hertz, Zhi-Ren Wang
202121 citations Open access
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Abelian Livshits theorems and geometric applications
A. Gogolev, F. Hertz
202021 citations
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On the non-equivalence of the Bernoulli and K properties in dimension four
Adam Kanigowski, F. Hertz, Kurt Vinhage
201621 citations Open access
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Measure and cocycle rigidity for certain nonuniformly hyperbolic actions of higher-rank abelian groups
A. Katok, F. Hertz
201021 citations Open access
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A Criterion For Ergodicity of Non-uniformly hyperbolic Diffeomorphisms
F. Hertz, M. Rodriguez-Hertz, Ali Tahzibi, R. Ures
200721 citations
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Modern Theory of Dynamical Systems: A Tribute to Dmitry Victorovich Anosov
A. Katok, Y. Pesin, F. Hertz
201720 citations
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The Fried Average Entropy and Slow Entropy for Actions of Higher Rank Abelian Groups
A. Katok, S. Katok, F. Hertz
201320 citations
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UNIQUENESS OF LARGE INVARIANT MEASURES FOR Z k ACTIONS WITH CARTAN HOMOTOPY DATA
A. Katok, F. Hertz
200720 citations
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Smooth rigidity for very non-algebraic expanding maps
A. Gogolev, F. Hertz
2019Journal of the European Mathematical Society (Print)19 citations Open access
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Global smooth and topological rigidity of hyperbolic lattice actions
Aaron W. Brown, F. Hertz, Zhi-Ren Wang
201518 citations Open access
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Partially hyperbolic dynamics in dimension 3
Pablo D. Carrasco, F. Hertz, J. R. Hertz, R. Ures
201514 citations
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Critical points for surface diffeomorphisms
E. Pujals, F. Hertz
200714 citations
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Measure rigidity for generalized u-Gibbs states and stationary measures via the factorization method
Aaron Brown, Alex Eskin, Simion Filip, F. Hertz
202513 citations
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Smooth rigidity for very non-algebraic Anosov diffeomorphisms of codimension one
A. Gogolev, F. Hertz
2021Israel Journal of Mathematics13 citations Open access
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New partially hyperbolic dynamical systems I
A. Gogolev, P. Ontaneda, F. Hertz
201413 citations Open access
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A non-dynamically coherent example on ${\mathbb T}^3$
F. Hertz, J. R. Hertz, R. Ures
201413 citations
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Cohomology free systems and the first Betti number
F. Hertz, M. Hertz
200613 citations Open access
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SMOOTH ERGODIC THEORY OF Z d-ACTIONS PART 3 : PRODUCT STRUCTURE OF ENTROPY
Aaron W. Brown, F. Hertz, Zhiren Wang, A. Bstract
201612 citations
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Invariant distributions for homogeneous flows and affine transformations
L. Flaminio, G. Forni, F. Hertz
201612 citations Open access
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Center-unstable foliations do not have compact leaves
F. Hertz, J. R. Hertz, R. Ures
201512 citations Open access
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Arithmeticity and topology of smooth actions of higher rank abelian groups
A. Katok, F. Hertz
201312 citations Open access
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Smooth rigidity for 3-dimensional volume preserving Anosov flows and weighted marked length spectrum rigidity
A. Gogolev, F. Hertz
202211 citations
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Spectral gaps and Fourier decay for self-conformal measures on the plane
Amir Algom, F. Hertz, Zhi-Ren Wang
2024Transactions of the American Mathematical Society9 citations
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Smooth rigidity for 3-dimensional dissipative Anosov flows
A. Gogolev, Martin Leguil, F. Hertz
20258 citations
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Smooth Rigidity for Higher-Dimensional Contact Anosov Flows
A. Gogolev, F. Hertz
2022Ukrainian Mathematical Journal8 citations
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Smooth ergodic theory of $ \mathbb {Z}^d $-actions
Aaron W. Brown, F. Hertz, Zhi-Ren Wang
2016Journal of Modern Dynamics8 citations Open access
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Rigidity of real-analytic actions of $SL(n,\Z)$ on $\T^n$: A case of realization of Zimmer program
A. Katok, F. Hertz
20108 citations Open access
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0 O ct 2 00 6 ACCESSIBILITY AND STABLE ERGODICITY FOR PARTIALLY HYPERBOLIC DIFFEOMORPHISMS WITH 1 D-CENTER BUNDLE
F. Hertz, M. Rodriguez-Hertz
20078 citations
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Smooth rigidity for codimension one Anosov flows
A. Gogolev, F. Hertz
20217 citations
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New progress in nonuniform measure and cocycle rigidity
B. Kalinin, A. Katok, F. Hertz
20087 citations
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Errata to "Measure rigidity beyond uniform hyperbolicity: Invariant measures for Cartan actions on tori" and "Uniqueness of large invariant measures for $\Zk$ actions with Cartan homotopy data"
B. Kalinin, A. Katok, F. Hertz
20106 citations Open access
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Zhi-Ren Wang

×6

M. Hertz×5

Aaron W. Brown×5

J. R. Hertz×4

Amir Algom×4

B. Kalinin×3

A. Katok×3

A. Tahzibi×2