Aaron W Brown

  • 13 Citations
20102017
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Personal profile

Research Interests

Professor Brown primarily works in smooth hyperbolic dynamics, nonuniform hyperbolicity, and smooth ergodic theory. His recent work focuses on smooth group actions. He often applies tools from smooth dynamics and smooth ergodic theory to study rigidity phenomenon for actions of large groups. In particular, he is interested in measure rigidity questions and problems related to the rigidity of lattice actions and the Zimmer program.

Education/Academic qualification

BA, Oberlin College

… → 2004

Mathematics, PhD, Tufts University

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  • 3 Similar Profiles
Rigidity Mathematics
Diffeomorphisms Mathematics
Anosov Diffeomorphism Mathematics
Lorenz attractor Mathematics
Hyperbolic Set Mathematics
Attractor Mathematics
Stationary Measure Mathematics
Conjugacy Mathematics

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Research Output 2010 2017

  • 13 Citations
  • 6 Article
1 Citation (Scopus)

Global smooth and topological rigidity of hyperbolic lattice actions

Brown, A. W., Hertz, F. R. & Wang, Z., Nov 1 2017, In : Annals of Mathematics. 186, 3, p. 913-972 60 p.

Research output: Contribution to journalArticle

Rigidity
Nilmanifolds
Semisimple Lie Group
Universal Cover
Conjugacy
1 Citation (Scopus)

Measure rigidity for random dynamics on surfaces and related skew products

Brown, A. W. & Hertz, F. R., Jan 1 2017, In : Journal of the American Mathematical Society. 30, 4, p. 1055-1132 78 p.

Research output: Contribution to journalArticle

Open Access
Stationary Measure
Skew Product
Rigidity
Probability Measure
Measure-preserving Transformations
1 Citation (Scopus)

Smooth stabilizers for measures on the torus

Brown, A. W., Jan 1 2015, In : Discrete and Continuous Dynamical Systems- Series A. 35, 1, p. 43-58 16 p.

Research output: Contribution to journalArticle

Open Access
Anosov Diffeomorphism
Diffeomorphisms
Invariant Measure
Torus

Constraints on dynamics preserving certain hyperbolic sets

Brown, A. W., Jun 1 2011, In : Ergodic Theory and Dynamical Systems. 31, 3, p. 719-739 21 p.

Research output: Contribution to journalArticle

Hyperbolic Set
Diffeomorphism
Topology
Codimension
Attractor
3 Citations (Scopus)

Unstable periodic orbits in the Lorenz attractor

Boghosian, B. M., Brown, A. W., Lätt, J., Tang, H., Fazendeiro, L. M. & Coveney, P. V., Jun 13 2011, In : Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 369, 1944, p. 2345-2353 9 p.

Research output: Contribution to journalArticle

Open Access
Lorenz attractor
Periodic Orbits
Orbits
Unstable
Lorenz Equations