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Large Deviation Principle of Nonconventional Ergodic Averages
Journal of Statistical Physics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jung-Chao Ban, Wen-Guei Hu, Guan-Yu Lai
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Journal d'Analyse Mathématique, 1993
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On Variation Functions for Subsequence Ergodic Averages
Monatshefte f�r Mathematik, 1999For 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.
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Lower bounds for ergodic averages
Ergodic Theory and Dynamical Systems, 2002For 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.
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Averaging Sequences. Universal Ergodic Theorems
1992Let (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 ...
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IEEE Vehicular Technology Conference, 2009
Sungeun Lee, M. Han, D. Hong
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Sungeun Lee, M. Han, D. Hong
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Ergodic capacity and average rate-guaranteed scheduling for wireless multiuser OFDM systems
2008 IEEE International Symposium on Information Theory, 2008Xin Wang, G. Giannakis
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