Results 171 to 180 of about 3,605 (210)

On the Ergodic Averages and the Ergodic Hilbert Transform

Canadian Journal of Mathematics, 1995
AbstractLet T be an invertible measure-preserving transformation on a σ-finite measure space (X, μ) and let 1 < p < ∞. This paper uses an abstract method developed by José Luis Rubio de Francia which allows us to give a unified approach to the problems of characterizing the positive measurable functions v such that the limit of the ergodic ...
Fernández-Cabrera, L. M., Martín-Reyes, F. J., Torrea, J. L.   +2 more
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Ergodic Flocking

2019 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 2019
Designing efficient control strategies is well studied. Due to recent technological advancements and applications to the field of robotics, exploring ways to design optimal control for multi robot systems is gaining interest. In this respect, ergodicity has been successfully applied as an effective control technique for tracking and coverage ...
Conan Veitch, Duncan Render, Alex Aravind   +2 more
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Ergodicity and Ergodic Points

2004
The problem of determining which sets are visited with defined frequency by the motions of a dynamical system (Ω, S) can be satisfactorily solved in the case of particularly simple systems; for instance in the case in which \(S = {S_{{t_0}}}\) and (S t )t∈ℝ is a Hamiltonian flow which is analytically integrable on a region W ⊂ ℝ2r and Ω = W, cf ...
Giovanni Gallavotti, Federico Bonetto, Guido Gentile   +2 more
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Ergodicity/non-ergodicity or else?

2019
Throughout most of his writings Paul Davidson has argued that Keynes broke away from the classical mainstream understanding of his time by rejecting three crucial classical axioms, one of which was ergodicity and acknowledge non-ergodicity. As such, to Davidson, as to a Post Keynesian, one must accept non-determinism if one correctly wants to ...
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Ergodic Theorems and Ergodic Decomposition for Markov Chains

Acta Applicandae Mathematica, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hernández-Lerma, Onésimo, Lasserre, Jean B.   +1 more
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Criteria for ergodicity, exponential ergodicity and strong ergodicity of Markov processes

Journal of Applied Probability, 1981
For regular Markov processes on a countable space, we provide criteria for the forms of ergodicity in the title in terms of the existence of solutions to inequalities involving the Q-matrix of the process. An application to birth-death processes is given.
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Ergodic solutions via ergodic sequences

Nonlinear Analysis: Theory, Methods & Applications, 2000
It is known (G. H.~Meisters, Z.~Opial, and A. M.~Fink) that the existence of almost-periodic solutions to ordinary differential equations is equivalent to the fact that the restriction of a bounded solution to some discrete subgroup of reals is almost-periodic. There are results of this kind [see, e.g., \textit{A.
Hong, Jialin, Obaya, Rafael, Sanz, Ana M.   +2 more
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Asymptotically Ergodic Markov Functionals of an Ergodic Process

Theory of Probability & Its Applications, 1995
Summary: Let \(X(t)\) be a homogeneous Markov process given on a state space \((E, {\mathcal B})\) and having an invariant distribution \(\pi (\cdot)\). Let \(\{\xi_n (t)\}\) be a sequence of cut-off Markov functionals with killing times \(\{\zeta_n\}\) and a set of values \(I = \{1,2, \dots, d\}\) which converges to a trivial functional with a ...
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Understanding ergodicity

Integers, 2011
Summary: In this article I try to explain some aspects of the nature of ergodic theory, and in particular why results concerning dynamical averages are interesting, and what we feel to be the natural proofs of convergence of such averages.
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Ergodicity, geometric ergodicity and strong ergodicity

Advances in Applied Probability, 1980
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