• 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
  • process. Ergodicity is a property of the system; it is a statement that the system cannot be reduced or factored into smaller components. Ergodic theory is...
    54 KB (8,837 words) - 05:09, 15 July 2024
  • Thumbnail for Ergodic hypothesis
    property of ergodicity; a broad range of systems in geometry, physics, and probability are ergodic. Ergodic systems are studied in ergodic theory. In macroscopic...
    9 KB (1,055 words) - 22:05, 6 April 2024
  • not ergodic in mean. Ergodic hypothesis Ergodicity Ergodic theory, a branch of mathematics concerned with a more general formulation of ergodicity Loschmidt's...
    7 KB (1,023 words) - 05:31, 19 May 2024
  • Ergodic Ramsey theory is a branch of mathematics where problems motivated by additive combinatorics are proven using ergodic theory. Ergodic Ramsey theory...
    2 KB (250 words) - 11:17, 18 August 2023
  • Thumbnail for John von Neumann
    ergodic theory, a branch of mathematics that involves the states of dynamical systems with an invariant measure. Of the 1932 papers on ergodic theory...
    204 KB (23,308 words) - 23:22, 15 August 2024
  • Ergodicity economics is a research programme aimed at reworking the theoretical foundations of economics in the context of ergodic theory. The project's...
    22 KB (3,055 words) - 15:13, 25 July 2024
  • Thumbnail for Hilbert space
    Hilbert space (category Operator theory)
    includes applications to signal processing and heat transfer), and ergodic theory (which forms the mathematical underpinning of thermodynamics). John...
    128 KB (17,487 words) - 22:34, 20 June 2024
  • Thumbnail for Dynamical system
    Dynamical system (category Systems theory)
    concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured...
    52 KB (7,067 words) - 22:55, 8 June 2024
  • Thumbnail for Dynamical systems theory
    Control theory is an interdisciplinary branch of engineering and mathematics, in part it deals with influencing the behavior of dynamical systems. Ergodic theory...
    24 KB (2,921 words) - 02:46, 16 June 2024
  • Thumbnail for Alexandra Bellow
    Romanian-American mathematician, who has made contributions to the fields of ergodic theory, probability and analysis. Bellow was born in Bucharest, Romania, on...
    21 KB (2,405 words) - 00:12, 23 January 2024
  • system's states (phase space) Ergodic hypothesis, a postulate of thermodynamics Ergodic theory, a branch of mathematics Ergodic literature, literature that...
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  • Thumbnail for Chaos theory
    one another, with a positive Lyapunov exponent. Chaos theory began in the field of ergodic theory. Later studies, also on the topic of nonlinear differential...
    123 KB (14,054 words) - 22:18, 15 August 2024
  • theory — Combinatorial game theory — Computability theory — Computational complexity theory — Deformation theory — Dimension theoryErgodic theory —...
    38 KB (4,356 words) - 13:30, 30 July 2024
  • Measure-preserving dynamical system (category Information theory)
    object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. Measure-preserving systems obey the Poincaré recurrence...
    23 KB (3,592 words) - 13:02, 9 August 2024
  • Constructor theory is a proposal for a new mode of explanation in fundamental physics in the language of ergodic theory, developed by physicists David...
    9 KB (1,025 words) - 18:48, 30 April 2024
  • }{\partial t}}+{\mathrm {i} {\widehat {\mathbf {L} }}}\rho =0.} In ergodic theory and dynamical systems, motivated by the physical considerations given...
    24 KB (3,887 words) - 18:56, 7 July 2024
  • Thumbnail for Mixing (mathematics)
    Mixing (mathematics) (category Ergodic theory)
    mixing paint, mixing drinks, industrial mixing. The concept appears in ergodic theory—the study of stochastic processes and measure-preserving dynamical systems...
    26 KB (4,728 words) - 14:40, 9 August 2024
  • theory developed by Alain Connes to handle noncommutative geometry at a technical level has roots in older attempts, in particular in ergodic theory....
    21 KB (2,384 words) - 15:46, 26 May 2024
  • In probability theory, a stationary ergodic process is a stochastic process which exhibits both stationarity and ergodicity. In essence this implies that...
    2 KB (260 words) - 18:25, 28 January 2024
  • Asymptotic equipartition property (category Information theory)
    actually realized. (This is a consequence of the law of large numbers and ergodic theory.) Although there are individual outcomes which have a higher probability...
    22 KB (3,951 words) - 06:42, 15 May 2024
  • Thumbnail for Yakov Sinai
    led to Wilson's Nobel Prize for Physics in 1982, Gibbs measures in ergodic theory, hyperbolic Markov partitions, proof of the existence of Hamiltonian...
    14 KB (1,345 words) - 16:58, 12 June 2024
  • Thumbnail for Grigory Margulis
    work on lattices in Lie groups, and the introduction of methods from ergodic theory into diophantine approximation. He was awarded a Fields Medal in 1978...
    13 KB (1,342 words) - 12:22, 27 February 2024
  • 1989) is a Polish mathematician specializing in dynamical systems and ergodic theory. He is a professor at the University of Maryland. Kanigowski was born...
    9 KB (644 words) - 18:06, 10 August 2024
  • Thumbnail for Jean Bourgain
    analytic number theory, combinatorics, ergodic theory, partial differential equations and spectral theory, and later also group theory. He proved the uniqueness...
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  • Thumbnail for Hillel Furstenberg
    his application of probability theory and ergodic theory methods to other areas of mathematics, including number theory and Lie groups. Furstenberg was...
    16 KB (1,388 words) - 00:42, 9 August 2024
  • Thumbnail for Number theory
    distribution accounts in part for its developing links with ergodic theory, finite group theory, model theory, and other fields. The term additive combinatorics...
    88 KB (11,254 words) - 14:06, 23 July 2024
  • theory Dempster-Shafer theory Dimension theory Distribution theory Dynamical systems theory Elimination theory Ergodic theory Extremal graph theory Field...
    3 KB (222 words) - 12:41, 12 July 2024
  • combinatorics is a field in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis. Arithmetic combinatorics is about...
    9 KB (956 words) - 15:34, 8 August 2024
  • Thumbnail for Probability distribution
    dynamical systems that studies the existence of a probability measure is ergodic theory. Note that even in these cases, the probability distribution, if it...
    47 KB (6,403 words) - 09:00, 5 August 2024