Results 251 to 260 of about 5,030,646 (292)
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Robust Ergodic Uplink Resource Allocation in Underlay OFDMA Cognitive Radio Networks
IEEE Transactions on Mobile Computing, 2016N. Mokari +4 more
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Almost sure convergence of the multiple ergodic average for certain weakly mixing systems
, 2016The family of pairwise independently determined (PID) systems, i.e., those for which the independent joining is the only self joining with independent 2-marginals, is a class of systems for which the long standing open question by Rokhlin, of whether ...
Yonatan Gutman +3 more
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On the Ergodic Averages and the Ergodic Hilbert Transform
Canadian Journal of Mathematics, 1995AbstractLet 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. +2 more
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Ergodic Averages Via Dominating Processes*
2007Abstract We show how the mean of a monotone function (defined on a state space equipped with a partial ordering) can be estimated, using ergodic averages calculated from upper and lower dominating processes of a stationary irreducible Markov chain. In particular, we do not need to simulate the stationary Markov chain and we eliminate the
Møller, Jesper, Mengersen, Kerrie
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Rapid solidification as non-ergodic phenomenon
Physics reports, 2019Rapid solidification is a relevant physical phenomenon in material sciences, whose theoretical analysis requires going beyond the limits of local equilibrium statistical physics and thermodynamics and, in particular, taking account of ergodicity breaking
P. Galenko, D. Jou
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Ergodic Theory and Averaging Iterations
Canadian Journal of Mathematics, 1973Suppose X is a Banach space and T a continuous linear operator on X. The significance of the asymptotic convergence of T for the approximate solution of the equation (I - T)x = f by means of the Picard iterations was clearly shown in Browder's and Petryshyn's paper [1], The results of [1] have stimulated further investigation of the Picard, and more ...
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Entropy Numbers of Some Ergodic Averages
Theory of Probability & Its Applications, 2000If \(X\) is a seminormed linear space and \(U\) a bounded linear operator on \(X\), we may consider the moving averages \(A_n= n^{-1} \sum^{n-1}_{j=0} U^j\), \(n= 1,2,\dots\). Given \(x\in X\), does a subsequence \(S\) of the sequence \(\{A_n(x)\}^\infty_{n=1}\) converge or cluster in some sense? The main thrust of this paper, building upon a result of
Gamet, C., Weber, M.
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Volume averaging, probabilistic averaging, and ergodicity
Advances in Water Resources, 1983Abstract The relationship between probabilistic averaging and volume averaging is analyzed in a rigorous setting. The question of ergodicity is shown to be inappropriate for multiphase averaging techniques. The correct question to ask is whether or not the underlying probability space exists.
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Journal d'Analyse Mathématique, 1995
Let \(\sigma\) be a rotation invariant measure on \(S^1\), and let \(T_i\) \((i=1,2)\) be two commuting measure preserving flows on a probability space \((X,B,\mu)\). The author proves the following result (extending \textit{R. Jones} [J. Anal. Math. 61, 29-45 (1993; Zbl 0828.28007)]), that for \(p>2\) and \(f\in L^p(\mu)\) the averages \(\int_{S^1} f ...
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Let \(\sigma\) be a rotation invariant measure on \(S^1\), and let \(T_i\) \((i=1,2)\) be two commuting measure preserving flows on a probability space \((X,B,\mu)\). The author proves the following result (extending \textit{R. Jones} [J. Anal. Math. 61, 29-45 (1993; Zbl 0828.28007)]), that for \(p>2\) and \(f\in L^p(\mu)\) the averages \(\int_{S^1} f ...
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Evaluating the Ergodic Rate in SWIPT-Aided Hybrid NOMA
IEEE Communications Letters, 2018This letter studies a hybrid non-orthogonal multiple access (NOMA)-based wireless system, in which the users harvest energy from the received downlink signals in order to transmit on the uplink.
Syeda Kanwal Zaidi, S. F. Hasan, X. Gui
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