Results 61 to 70 of about 5,030,646 (292)
Nonconventional ergodic averages and nilmanifolds [PDF]
Annals of Mathematics, 2005 The authors prove the following extension of Furstenberg's theorem [\textit{J. Furstenberg}, J. Anal. Math. 31, 204--256 (1977; Zbl 0347.28016)]: Let \(T\) be a measure-preserving invertible transformation on a probability space and \(f_1,\dots,f_k\) be bounded measurable functions.
Host, Bernard, Kra, Bryna
openaire +2 more sources
Improved Scheduling Mechanisms for Synchronous Information and Energy Transmission
Sensors, 2017 Wireless energy collecting technology can effectively reduce the network time overhead and prolong the wireless sensor network (WSN) lifetime. However, the traditional energy collecting technology cannot achieve the balance between ergodic channel ...
Danyang Qin +4 more
doaj +1 more source
Event-Triggered Average Consensus of Multiagent Systems with Switching Topologies
Discrete Dynamics in Nature and Society, 2020 Event-triggered average consensus of multiagent systems with switching topologies is studied in this paper. A distributed protocol based on event-triggered time sequences and switching time sequences is designed.
Gaosen Dong, Chunde Yang, Wei Zhu
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Ergodic averages with generalized weights [PDF]
Studia Mathematica, 2006 Two types of weighted ergodic averages are studied. It is shown that if F = {Fn} is an admissible superadditive process relative to a measure preserving transformation, then a Wiener-Wintner type result holds forF. Using this result new good classes of weights generated by such processes are obtained.
Doğan Çömez, Semyon N. Litvinov
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Convergence of weighted polynomial multiple ergodic averages
, 2008 We study here weighted polynomial multiple ergodic averages. A sequence of weights is called universally good if any polynomial multiple ergodic average with this sequence of weights converges in $L^{2}$.
Chu, Qing
core +3 more sources
On the Downlink Average Energy Efficiency of Non-Stationary XL-MIMO [PDF]
IEEE Transactions on CommunicationsExtra large-scale multiple-input multiple-output (XL-MIMO) is a key technology for future wireless communication systems. This paper considers the effects of visibility region (VR) at the base station (BS) in a non-stationary multi-user XL-MIMO scenario,
Jun Zhang +5 more
semanticscholar +1 more source
Ergodic properties of heterogeneous diffusion processes in a potential well. [PDF]
Journal of Chemical Physics, 2019 Heterogeneous diffusion processes can be well described by an overdamped Langevin equation with space-dependent diffusivity D(x). We investigate the ergodic and nonergodic behavior of these processes in an arbitrary potential well U(x) in terms of the ...
Xudong Wang, Weihua Deng, Yao Chen
semanticscholar +1 more source
Stochastic Ergodicity Breaking: a Random Walk Approach
, 2005 The continuous time random walk (CTRW) model exhibits a non-ergodic phase when the average waiting time diverges. Using an analytical approach for the non-biased and the uniformly biased CTRWs, and numerical simulations for the CTRW in a potential field,
B. D. Hughes +4 more
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Variable-rate source coding theorems for stationary nonergodic sources [PDF]
, 1994 For a stationary ergodic source, the source coding theorem and its converse imply that the optimal performance theoretically achievable by a fixed-rate or variable-rate block quantizer is equal to the distortion-rate function, which is defined as the ...
Chou, P. A., Effros, M., Gray, R. M.
core +2 more sources
Ergodic Spectral Efficiency in MIMO Cellular Networks [PDF]
IEEE Transactions on Wireless Communications, 2016 This paper shows how the application of stochastic geometry to the analysis of wireless networks is greatly facilitated by: ( ${i}$ ) a clear separation of time scales; (ii) the abstraction of small-scale effects via ergodicity; and (iii) an interference
Geordie George +3 more
semanticscholar +1 more source