Research output per year
Research output per year
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Dive into the research topics where Anatole Katok 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.
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Profiles
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Dmitri Burago
- Mathematics - Distinguished Professor
- Anatole Katok Center for Dynamical Systems and Geometry
Person: Academic
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Mark Levi
- Mathematics - Department Head and Professor
- Center for Computational Mathematics and Applications (CCMA)
- Anatole Katok Center for Dynamical Systems and Geometry
Person: Academic
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Yakov B. Pesin
- Mathematics - Distinguished Professor
- Anatole Katok Center for Dynamical Systems and Geometry
Person: Academic
Research output
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A FAMILY OF INTEGRABLE TRANSFORMATIONS OF CENTROAFFINE POLYGONS: GEOMETRICAL ASPECTS
Arnold, M., Fuchs, D. & Tabachnikov, S., 2024, In: Annales de l'Institut Fourier. 74, 3, p. 1319-1363 45 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Anatole Katok’s Work on Hyperbolicity, Entropy and Geodesic Flows
Pesin, Y., Jan 1 2024, The Collected Works of Anatole Katok: In 2 Volumes. World Scientific Publishing Co., Vol. 2. p. 3-25 23 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter
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Anatole Katok’s Work on Hyperbolicity, Entropy and Geodesic Flows
Pesin, Y., Jan 1 2024, Volume 1: The Collected Works of Anatole Katok. World Scientific Publishing Co., p. 3-25 23 p.Research output: Chapter in Book/Report/Conference proceeding › Foreword/postscript
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Anatole Katok’s Work on Measure Rigidity
Hertz, F. R., Jan 1 2024, The Collected Works of Anatole Katok: In 2 Volumes. World Scientific Publishing Co., Vol. 2. p. 2019-2035 17 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter
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ARITHMETICITY AND TOPOLOGY OF SMOOTH ACTIONS OF HIGHER RANK ABELIAN GROUPS
Katok, A. & Hertz, F. R., Jan 1 2024, The Collected Works of Anatole Katok: In 2 Volumes. World Scientific Publishing Co., Vol. 2. p. 2489-2526 38 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter
Open Access -
Contributions to the ergodic theory of hyperbolic flows: unique ergodicity for quasi-invariant measures and equilibrium states for the time-one map
Carrasco, P. D. & Rodriguez-Hertz, F., Jun 2024, In: Israel Journal of Mathematics. 261, 2, p. 589-612 24 p.Research output: Contribution to journal › Article › peer-review
1 Scopus citations -
Cusps in heavy billiards
Hasselblatt, B., Yeun Kim, K. & Levi, M., Feb 1 2024, In: Nonlinearity. 37, 2, 025006.Research output: Contribution to journal › Article › peer-review
Open Access -
Differential Geometry of Space Curves: Forgotten Chapters
Fuchs, D., Izmestiev, I., Raffaelli, M., Szewieczek, G. & Tabachnikov, S., Mar 2024, In: Mathematical Intelligencer. 46, 1, p. 9-21 13 p.Research output: Contribution to journal › Article › peer-review
Open Access1 Scopus citations -
EQuilibrium States for Center Isometries
Carrasco, P. D. & Rodriguez-Hertz, F., May 2 2024, In: Journal of the Institute of Mathematics of Jussieu. 23, 3, p. 1295-1355 61 p.Research output: Contribution to journal › Article › peer-review
Open Access2 Scopus citations -
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”
Kalinin, B., Katok, A. & Hertz, F. R., Jan 1 2024, The Collected Works of Anatole Katok: In 2 Volumes. World Scientific Publishing Co., Vol. 2. p. 2375-2377 3 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter
Open Access
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Topics in Geometrical Optics and Kinematics: Billiard Models and Tire Track Geometry
Tabachnikov, S. (PI)
6/1/24 → 5/31/27
Project: Research project
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Conference: Semi-annual Workshop in Dynamical Systems and Related Topics at Penn State
Katok, S. (PI), Pesin, Y. B. (CoPI) & Rodriguez Hertz, F. J. (CoPI)
9/15/22 → 8/31/25
Project: Research project
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Nonlinear Dynamics with Applications to Physical Systems
Levi, M. (PI)
9/1/22 → 8/31/25
Project: Research project
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Topics in Smooth Ergodic Theory: Stochastic Properties, Thermodynamic Formalism, Coexistence
Pesin, Y. B. (PI)
6/1/22 → 5/31/25
Project: Research project
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Conference: Finite Dimensional Integrable Systems 2023
Tabachnikov, S. (PI)
7/1/23 → 6/30/24
Project: Research project
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Conference: Finite Dimensional Integrable Systems 2022
Tabachnikov, S. (PI)
6/1/22 → 5/31/23
Project: Research project
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Management of Paediatric Acute Severe Behavioural Disturbance in the Emergency Department
Petrunin, A. (PI) & Bourke, E. E. (PI)
7/1/20 → 6/30/23
Project: Research project
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Topics in Kinematics and Geometrical Optics: Tire Track Geometry and Billiard Models
Tabachnikov, S. (PI)
6/1/20 → 5/31/23
Project: Research project
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Nonlinear Dynamics with Applications to Physical Systems
Levi, M. (PI)
9/1/19 → 8/31/23
Project: Research project
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2020 Vision for Dynamics International Conference
Hasselblatt, B. (PI), Forni, G. G. (CoPI) & Pesin, Y. B. (CoPI)
8/1/19 → 1/31/20
Project: Research project