• 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) - 14:43, 28 April 2025
  • Ergodic Theory and Dynamical Systems is a peer-reviewed mathematics journal published by Cambridge University Press. Established in 1981, the journal publishes...
    1 KB (48 words) - 09:02, 1 May 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 (8,944 words) - 02:31, 9 June 2025
  • Thumbnail for Dynamical systems theory
    nature of the ergodicity of dynamic systems. When differential equations are employed, the theory is called continuous dynamical systems. From a physical...
    24 KB (2,927 words) - 23:16, 30 May 2025
  • 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...
    52 KB (7,094 words) - 15:27, 3 June 2025
  • 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) - 23:32, 15 April 2025
  • 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 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...
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  • mathematics, a conservative system is a dynamical system which stands in contrast to a dissipative system. Roughly speaking, such systems have no friction or...
    11 KB (1,772 words) - 08:36, 20 June 2025
  • theorem Krylov-Bogoliubov averaging method Measure-preserving dynamical system Ergodic theory Mixing (mathematics) Almost periodic function Symbolic dynamics...
    5 KB (413 words) - 21:49, 5 November 2024
  • Thumbnail for Alexandra Bellow
    Romanian-American mathematician, who made contributions to the fields of ergodic theory, probability and analysis. Bellow was born in Bucharest, Romania, on August...
    21 KB (2,423 words) - 10:30, 24 June 2025
  • 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
  • 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 (1,423 words) - 11:04, 9 April 2025
  • 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...
    116 KB (13,059 words) - 04:19, 24 June 2025
  • 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) - 05:13, 10 May 2025
  • 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...
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  • multiplicative ergodic theorem, or Oseledets theorem provides the theoretical background for computation of Lyapunov exponents of a nonlinear dynamical system. It...
    6 KB (832 words) - 11:51, 18 April 2025
  • 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
  • Thumbnail for Tricorn (mathematics)
    2017). "On multicorns and unicorns II: bifurcations in spaces of antiholomorphic polynomials". Ergodic Theory and Dynamical Systems. 37 (3): 859–899. arXiv:1404...
    10 KB (1,308 words) - 01:29, 24 June 2025
  • Anish; Shah, Riddhi (26 January 2015). Recent Trends in Ergodic Theory and Dynamical Systems. American Mathematical Society. p. 3. ISBN 9781470409319...
    25 KB (2,666 words) - 01:56, 16 June 2025
  • Rokhlin lemma (category Ergodic theory)
    ergodic theory. It states that an aperiodic measure preserving dynamical system can be decomposed to an arbitrary high tower of measurable sets and a...
    23 KB (3,893 words) - 14:46, 29 April 2025
  • Wolf Prize in Mathematics (category Israeli science and technology awards)
    established by the Foundation and awarded since 1978; the others are in Agriculture, Chemistry, Medicine, Physics and Arts. The Wolf Prize includes a...
    18 KB (256 words) - 05:28, 28 March 2025
  • Sinai–Ruelle–Bowen measure (category Ergodic theory)
    Young, L. S. (2005). "SRB measures as zero-noise limits". Ergodic Theory and Dynamical Systems. 25 (4): 1115–1138. doi:10.1017/S0143385704000604. S2CID 15640353...
    6 KB (891 words) - 17:50, 9 May 2025
  • of addition and subtraction are involved. One important technique in arithmetic combinatorics is the ergodic theory of dynamical systems. Infinitary combinatorics...
    33 KB (3,524 words) - 20:02, 6 May 2025
  • mathematics and physics, the concept of ergodicity is used to characterise dynamical systems and stochastic processes. A system is said to be ergodic, if a...
    25 KB (3,574 words) - 02:50, 26 May 2025
  • Liouville's theorem (Hamiltonian) (category Theorems in dynamical systems)
    t}}+{\mathrm {i} {\widehat {\mathbf {L} }}}\rho =0.} In ergodic theory and dynamical systems, motivated by the physical considerations given so far, there...
    25 KB (4,046 words) - 15:56, 2 April 2025
  • Thumbnail for Doug Lind
    Doug Lind is an American mathematician specializing in ergodic theory and dynamical systems. He is a professor emeritus at the University of Washington...
    2 KB (123 words) - 06:06, 24 September 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) - 20:24, 26 May 2025
  • Poincaré recurrence theorem (category Ergodic theory)
    ergodic theory, dynamical systems and statistical mechanics. Systems to which the Poincaré recurrence theorem applies are called conservative systems...
    12 KB (1,789 words) - 02:37, 7 March 2025
  • 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) - 14:01, 24 April 2025