Results 161 to 170 of about 23,064 (196)

Entropy Numbers of Some Ergodic Averages

Theory of Probability & Its Applications, 2000
If \(X\) 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.
openaire   +2 more sources

Volume averaging, probabilistic averaging, and ergodicity

Advances in Water Resources, 1983
Abstract 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.
openaire   +1 more source

Ergodic averages on circles

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 ...
openaire   +2 more sources

Large Deviation Principle of Nonconventional Ergodic Averages

Journal of Statistical Physics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jung-Chao Ban, Wen-Guei Hu, Guan-Yu Lai
openaire   +3 more sources

Ergodic averages on spheres

Journal d'Analyse Mathématique, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On Variation Functions for Subsequence Ergodic Averages

Monatshefte f�r Mathematik, 1999
For a sequence \((a_n)\) write \(A_Nf(x)=(1/N)\sum_{n=1}^{N} f(T^{a_n}x)\) for the ergodic averages. Here certain relationships between the maximal function \(Mf=\sup_{N\geq 1}|A_Nf|\) and the \(q\)-variation function \(V_qf=\left( \sum_{N=1}^{\infty}|A_{N+1}f-A_Nf|^q\right)^{1/q}\) for \(q\geq 1\) are found.
Nair, R., Weber, M.
openaire   +2 more sources

Lower bounds for ergodic averages

Ergodic Theory and Dynamical Systems, 2002
For any measure-preserving map \(T\) on a probability space \((X,\mu)\), and any measurable set \(A\) with \(\mu(A)\geq a\), it is shown that the average \(N^{-1}\sum_{j=0}^{N-1}\mu(A\cap T^{-j}A)\) is at least \(\sqrt{a^2+(1-a)^2}+a-1\). Examples are constructed to show this is sharp. The method of proof is combinatorial.
openaire   +1 more source

Averaging Sequences. Universal Ergodic Theorems

1992
Let (X, B) be a measurable semigroup; B M (B) the Banach space of all signed measures of bounded variation on B with norm ‖v‖ = var v; P(B) the set of all probability measures on B; \(\tilde p\) the set of all probability measures v on X whose carriers c(v) are finite sets; and let F B be the subspace in Ф B consisting of the bounded measurable ...
openaire   +1 more source

Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

Balancing ergodic averages

1979
Brian Marcus, Karl Petersen
openaire   +1 more source