Center for Dynamical Systems and Geometry

  • United States

Organization profile

Organization profile

Research Interests

Fingerprint Dive into the research topics where Center for Dynamical Systems and Geometry is active. These topic labels come from the works of this organization's members. Together they form a unique fingerprint.

Rigidity Mathematics
Billiards Mathematics
Diffeomorphisms Mathematics
Dynamical system Mathematics
Torus Mathematics
Cocycle Mathematics
Theorem Mathematics
Invariant Mathematics

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Research Output 1967 2019

Adler and Flatto revisited: Cross-sections for geodesic ow on compact surfaces of constant negative curvature

Abrams, A. & Katok, S., Jan 1 2019, In : Studia Mathematica. 246, 2, p. 167-202 36 p.

Research output: Contribution to journalArticle

Negative Curvature
Geodesic
Cross section
Natural Extension
Discontinuity

Anatole Katok center for dynamical systems and geometry

Katok, S. & Pesin, Y., May 2019, In : Notices of the American Mathematical Society. 66, 5, p. 720-721 2 p.

Research output: Contribution to journalComment/debate

Dynamical system

Bipolar comparison

Lebedeva, N., Petrunin, A. & Zolotov, V., Feb 5 2019, In : Geometric and Functional Analysis. 29, 1, p. 258-282 25 p.

Research output: Contribution to journalArticle

Optimal Transport
Riemannian Manifold
Metric

Boundedness and invariant metrics for diffeomorphism cocycles over hyperbolic systems

Sadovskaya, V. V., Oct 1 2019, In : Geometriae Dedicata. 202, 1, p. 401-417 17 p.

Research output: Contribution to journalArticle

Invariant Metric
Diffeomorphism
Cocycle
Hyperbolic Systems
Boundedness
Open Access
Circle Map
Fuchsian Group
Torsion-free Group
Natural Extension
Attractor
1 Citation (Scopus)

Dimension Estimates for Non-conformal Repellers and Continuity of Sub-additive Topological Pressure

Cao, Y., Pesin, Y. & Zhao, Y., Oct 1 2019, In : Geometric and Functional Analysis. 29, 5, p. 1325-1368 44 p.

Research output: Contribution to journalArticle

Topological Pressure
Hausdorff Dimension
Estimate
Metric Entropy
Equilibrium Measure

Dominated and pointwise ergodic theorems with “weighted” averages for bounded Lamperti representations of amenable groups

Tempelman, A. & Shulman, A., Jun 1 2019, In : Journal of Mathematical Analysis and Applications. 474, 1, p. 23-58 36 p.

Research output: Contribution to journalArticle

Amenable Group
Ergodic Theorem
Weighted Average
Bounded Operator
Polynomials

Equilibrium states in dynamical systems via geometric measure theory

Climenhaga, V., Pesin, Y. & Zelerowicz, A., Jan 1 2019, In : Bulletin of the American Mathematical Society. 56, 4, p. 569-610 42 p.

Research output: Contribution to journalArticle

Open Access
Geometric Measure Theory
Equilibrium State
Markov Partition
Dynamical systems
Dynamical system
Inverted Pendulum
pendulums
Pendulums
Vibration
icebergs

How large isotopy is needed to connect homotopic diffeomorphisms (of 2)

Burago, D., Lu, J. & Ozuch, T., Jan 1 2019, In : Journal of Topology and Analysis.

Research output: Contribution to journalArticle

Isotopy
Diffeomorphism
Diffeomorphisms
Torus
Norm