• Ergodic Theory and Dynamical Systems is a peer-reviewed mathematics journal published by Cambridge University Press. Established in 1981, the journal publishes...
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  • Ergodic theory is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this...
    26 KB (3,727 words) - 09:42, 19 February 2024
  • dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. Measure-preserving systems...
    23 KB (3,592 words) - 13:02, 9 August 2024
  • In mathematics, ergodicity expresses the idea that a point of a moving system, either a dynamical system or a stochastic process, will eventually visit...
    55 KB (8,917 words) - 03:07, 21 November 2024
  • Thumbnail for Dynamical system
    for ergodic systems and a more detailed understanding has been worked out for hyperbolic systems. Understanding the probabilistic aspects of dynamical systems...
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  • Thumbnail for Dynamical systems theory
    Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations...
    24 KB (2,921 words) - 17:27, 22 October 2024
  • Thumbnail for Dynamical billiards
    A dynamical billiard is a dynamical system in which a particle alternates between free motion (typically as a straight line) and specular reflections from...
    28 KB (3,684 words) - 02:14, 16 June 2024
  • Ergodic Ramsey theory is a branch of mathematics where problems motivated by additive combinatorics are proven using ergodic theory. Ergodic Ramsey theory...
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  • disciplines of combinatorics and dynamical systems interact in a number of ways. The ergodic theory of dynamical systems has recently been used to prove...
    6 KB (541 words) - 13:21, 8 November 2024
  • Thumbnail for Anatole Katok
    Anatole Katok (category Dynamical systems theorists)
    1965 and PhD in 1968 (with a thesis on "Applications of the Method of Approximation of Dynamical Systems by Periodic Transformations to Ergodic Theory" under...
    11 KB (1,050 words) - 19:22, 2 November 2024
  • mathematics, a conservative system is a dynamical system which stands in contrast to a dissipative system. Roughly speaking, such systems have no friction or...
    12 KB (1,808 words) - 02:58, 25 November 2023
  • Thumbnail for Alexandra Bellow
    mathematician, who has made contributions to the fields of ergodic theory, probability and analysis. Bellow was born in Bucharest, Romania, on August...
    21 KB (2,407 words) - 16:01, 25 November 2024
  • Hurley, Mike (1991). "Chain recurrence and attraction in non-compact spaces". Ergodic Theory and Dynamical Systems. 11 (4): 709–729. doi:10.1017/S014338570000643X...
    4 KB (401 words) - 22:47, 2 December 2023
  • Thumbnail for Thomas Ward (mathematician)
    works in ergodic theory and dynamical systems and its relations to number theory. Ward was the fourth child of the physicist Alan Howard Ward and Elizabeth...
    16 KB (1,420 words) - 00:22, 14 February 2024
  • use as the generic adjective ergodic, ergodic may relate to: Ergodicity, mathematical description of a dynamical system which, broadly speaking, has the...
    605 bytes (111 words) - 21:26, 14 June 2015
  • theorem Krylov-Bogoliubov averaging method Measure-preserving dynamical system Ergodic theory Mixing (mathematics) Almost periodic function Symbolic dynamics...
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  • Thumbnail for Daniel Rudolph
    mathematician who was considered a leader in ergodic theory and dynamical systems. He studied at Caltech and Stanford and taught postgraduate mathematics at Stanford...
    17 KB (1,565 words) - 17:45, 5 August 2024
  • Thumbnail for Yakov Pesin
    Yakov Pesin (category Fellows of the American Academy of Arts and Sciences)
    research are the theory of dynamical systems with an emphasis on smooth ergodic theory, dimension theory in dynamical systems, and Riemannian geometry...
    10 KB (1,227 words) - 19:50, 7 November 2024
  • Thumbnail for Vladimir Abramovich Rokhlin
    Vladimir Abramovich Rokhlin (category Prisoners and detainees of the Soviet Union)
    Abramovich Rokhlin—A biographical tribute (23.8.1919–3.12.1984)", Ergodic Theory and Dynamical Systems, 9 (4), Cambridge University Press: 629–641, doi:10.1017/S0143385700005265...
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  • Thumbnail for Lai-Sang Young
    Lai-Sang Young (category Dynamical systems theorists)
    research interests include dynamical systems, ergodic theory, chaos theory, probability theory, statistical mechanics, and neuroscience. She is particularly...
    10 KB (880 words) - 18:04, 23 March 2024
  • Thumbnail for Crisis (dynamical systems)
    In applied mathematics and astrodynamics, in the theory of dynamical systems, a crisis is the sudden appearance or disappearance of a strange attractor...
    5 KB (590 words) - 00:00, 13 January 2024
  • Hartman–Grobman theorem (category Theorems in dynamical systems)
    linearization of hyperbolic diffeomorphisms with resonance". Ergodic Theory and Dynamical Systems. 36 (1): 310–334. doi:10.1017/etds.2014.51. Newhouse, Sheldon...
    12 KB (1,522 words) - 18:01, 22 October 2024
  • dynamics is a branch of the theory of dynamical systems in which qualitative, asymptotic properties of dynamical systems are studied from the viewpoint...
    3 KB (449 words) - 20:20, 9 February 2023
  • multiplicative ergodic theorem, or Oseledets theorem provides the theoretical background for computation of Lyapunov exponents of a nonlinear dynamical system. It...
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  • planetary system or an electron in an electromagnetic field. These systems can be studied in both Hamiltonian mechanics and dynamical systems theory. Informally...
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  • Distribution theory Dynamical systems theory Elimination theory Ergodic theory Extremal graph theory Field theory Galois theory Game theory Graph theory Group...
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  • Thumbnail for Chaos theory
    continuous dynamical systems (such as the Lorenz system) and in some discrete systems (such as the Hénon map). Other discrete dynamical systems have a repelling...
    121 KB (13,878 words) - 07:16, 17 November 2024
  • Thumbnail for Vadim Kaloshin
    Vadim Kaloshin (category Dynamical systems theorists)
    Mathematics, Analysis & PDE, Revista Matemática Iberoamericana, and Ergodic Theory and Dynamical Systems. In 2020 he was elected to Academia Europaea (the Academy...
    5 KB (393 words) - 09:01, 2 October 2023
  • Thumbnail for Mixing (mathematics)
    mixing. The concept appears in ergodic theory—the study of stochastic processes and measure-preserving dynamical systems. Several different definitions...
    26 KB (4,728 words) - 23:25, 17 September 2024
  • type are used to model dynamical systems, and in particular are the objects of study in symbolic dynamics and ergodic theory. They also describe the...
    16 KB (2,396 words) - 20:20, 15 June 2024