Search results
- ''of a dynamical system'' [[Category:Ergodic theory]]1 KB (242 words) - 21:18, 8 November 2014
- $#C+1 = 14 : ~/encyclopedia/old_files/data/H047/H.0407820 Homology of a dynamical system, Please remove this comment and the {{TEX|auto}} line below,4 KB (528 words) - 22:10, 5 June 2020
- A [[flow (continuous-time dynamical system)]] the trajectories of which become almost-periodic after a certain In the above, an almost-periodic trajectory in a [[dynamical system]] $\{ S^t \}$ on a metric space $(X,\rho)$ is the trajectory of any1,020 bytes (154 words) - 19:16, 25 October 2014
- $#C+1 = 7 : ~/encyclopedia/old_files/data/M062/M.0602950 Maximal ergodic theorem Please remove this comment and the {{TEX|auto}} line below,2 KB (340 words) - 08:12, 9 January 2024
- ...our of the system resembles that of a [[Gradient dynamical system|gradient dynamical system]] (see [[#References|[1]]], [[#References|[2]]]). ...valign="top"> A.N. Sharkovskii, V.A. Dobrynskii, , ''Dynamical systems and problems of stability of solutions of differential equations'' , Kiev (1973 KB (395 words) - 10:06, 24 August 2014
- ''$\{T_t\}$ with phase space $X$ and invariant measure $\mu$ A common name for various spectral invariants and spectral properties of the corresponding group (or semi-group) of unitary (5 KB (710 words) - 12:58, 16 July 2014
- [[Category:Ergodic theorems, spectral theory, Markov operators]] ...$ T $ of a $ \sigma $-finite measure space $ (X,\Sigma,\mu) $, Birkhoff’s ergodic theorem states that for any function $ f \in {L^{1}}(X,\Sigma,\mu) $, the l3 KB (460 words) - 05:51, 29 November 2016
- If the TeX and formula formatting is correct, please remove this message and the {{TEX|semi-auto}} category. ...re|measure]] when $X$ is a shift space (cf. [[Shift dynamical system|Shift dynamical system]]). The importance of absolutely continuous invariant measures is du5 KB (722 words) - 16:46, 1 July 2020
- Please remove this comment and the {{TEX|auto}} line below, [[Category:Measure-theoretic ergodic theory]]2 KB (260 words) - 08:00, 6 June 2020
- $#C+1 = 22 : ~/encyclopedia/old_files/data/O068/O.0608360 Operator ergodic theorem Please remove this comment and the {{TEX|auto}} line below,5 KB (685 words) - 16:32, 6 January 2024
- $#C+1 = 36 : ~/encyclopedia/old_files/data/V096/V.0906910 von Neumann ergodic theorem Please remove this comment and the {{TEX|auto}} line below,4 KB (632 words) - 17:38, 6 January 2024
- Please remove this comment and the {{TEX|auto}} line below, [[Category:Ergodic theory]]5 KB (696 words) - 08:01, 6 June 2020
- $#C+1 = 34 : ~/encyclopedia/old_files/data/S084/S.0804890 Shift dynamical system Please remove this comment and the {{TEX|auto}} line below,6 KB (862 words) - 08:13, 6 June 2020
- ...31 : ~/encyclopedia/old_files/data/F040/F.0400650 Flow (continuous\AAhtime dynamical system) Please remove this comment and the {{TEX|auto}} line below,3 KB (541 words) - 19:39, 5 June 2020
- Please remove this comment and the {{TEX|auto}} line below, ...nd [[Topological dynamics|topological dynamics]] used in phrases like: "a dynamical system (flow, cascade or transformation generating the latter) has a quasi-7 KB (978 words) - 05:56, 19 March 2022
- ...t\}$ (of a [[Flow (continuous-time dynamical system)|flow (continuous-time dynamical system)]] or of a [[Cascade|cascade]]) with phase space $X$'' ...trarily large countable transfinite number even for flows in $\mathbf R^3$ and on certain open surfaces (see [[#References|[8]]]–[[#References|[10]]]).4 KB (617 words) - 16:07, 19 August 2014
- $#C+1 = 71 : ~/encyclopedia/old_files/data/E035/E.0305760 Entropy theory of a dynamical system Please remove this comment and the {{TEX|auto}} line below,7 KB (1,040 words) - 19:23, 13 January 2024
- If the TeX and formula formatting is correct, please remove this message and the {{TEX|semi-auto}} category. is the partition into points; and c) the only measurable partition $ \mathop{\rm mod} 0 $7 KB (1,037 words) - 16:58, 1 July 2020
- Please remove this comment and the {{TEX|auto}} line below, ...eir generalization — a sequence of independent trials with the same result and with the same probability distribution.4 KB (566 words) - 10:58, 29 May 2020
- ...somorphic, and therefore one often does not distinguish between the states and the phase points that represent them. ...ary to consider statistical states of systems; for classical (non-quantum) systems they are described by probability distributions on the phase space. The rul6 KB (906 words) - 21:49, 30 April 2014