Results 151 to 160 of about 23,064 (196)

Ergodic averaging sequences

Journal d'Analyse Mathématique, 2005
This paper considers ergodic averages \(\frac 1t\sum_{n\leq t}f\circ T^{a_n}\), where \(a_n\) is \(a(n)\) or \(\lfloor a(n)\rfloor\) for a real-valued function \(a(x)\). It first defines a sequence \((a(n))\) to be universally good for norm convergence of \(L^p\) functions (i.e., norm good) if for each probability measure-preserving system \((\Omega ...
Boshernitzan, Michael   +3 more
openaire   +2 more sources

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.   +2 more
openaire   +1 more source

Ergodic Averages Via Dominating Processes*

2007
Abstract 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
openaire   +3 more sources

Ergodic Theory and Averaging Iterations

Canadian Journal of Mathematics, 1973
Suppose 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 ...
openaire   +2 more sources

Home - About - Disclaimer - Privacy