Results 11 to 20 of about 582 (52)
Uncomputably noisy ergodic limits [PDF]
, 2011 V'yugin has shown that there are a computable shift-invariant measure on Cantor space and a simple function f such that there is no computable bound on the rate of convergence of the ergodic averages A_n f. Here it is shown that in fact one can construct
Avigad, Jeremy
core +7 more sources
Quantitative mixing results and inner functions [PDF]
, 2006 19 pages, no figures.-- MSC2000 codes: 30D05, 30D50, 37A05, 37A25, 37F10, 28D05, 11K55.MR#: MR2262783 (2007j:37003)Zbl#: Zbl 1125.30019We study in this paper estimates on the size of the sets of points which are well approximated by orbits of other ...
Fernández, José L. +2 more
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Multifractal Analysis of Multiple Ergodic Averages [PDF]
, 2011 In this paper we present a complete solution to the problem of multifractal analysis of multiple ergodic averages in the case of symbolic dynamics for functions of two variables depending on the first coordinate.Comment: 5 pages, to appear in Comptes ...
Fan, Ai-Hua, Schmeling, Joerg, Wu, Meng
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Quantitative equidistribution for certain quadruples in quasi-random groups [PDF]
, 2015 In a recent paper (arXiv:1211.6372), Bergelson and Tao proved that if $G$ is a $D$-quasi-random group, and $x$,$g$ are drawn uniformly and independently from $G$, then the quadruple $(g,x,gx,xg)$ is roughly equidistributed in the subset of $G^4$ defined ...
Austin, Tim
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Exceptional sets in homogeneous spaces and Hausdorff dimension [PDF]
, 2014 In this paper we study the dimension of a family of sets arising in open dynamics. We use exponential mixing results for diagonalizable flows in compact homogeneous spaces $X$ to show that the Hausdorff dimension of set of points that lie on trajectories
Kadyrov, Shirali
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Enstrophy Dynamics of Stochastically Forced Large-Scale Geophysical Flows [PDF]
, 2001 Enstrophy is an averaged measure of fluid vorticity. This quantity is particularly important in {\em rotating} geophysical flows. We investigate the dynamical evolution of enstrophy for large-scale quasi-geostrophic flows under random wind forcing.
Blömker, D., Duan, Jinqiao, Wanner, T.
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Asymptotic behavior of stochastic PDEs with random coefficients [PDF]
, 2010 We study the long time behavior of the solution of a stochastic PDEs with random coefficients assuming that randomness arises in a different independent scale.
Debussche, Arnaud, Giuseppe, Da Prato
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Tilings, tiling spaces and topology
, 2018 To understand an aperiodic tiling (or a quasicrystal modeled on an aperiodic tiling), we construct a space of similar tilings, on which the group of translations acts naturally. This space is then an (abstract) dynamical system.
Anderson JE +15 more
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Revisiting linearly extended discrete functions
Journal of Mathematical CryptologyThe authors introduced a new family of cryptographic schemes in a previous research article, which includes many practical encryption schemes, such as the Feistel family. Given a finite field of order qq, any n>m≥0n\gt m\ge 0, the authors described a new
Gravel Claude, Panario Daniel
doaj +1 more source
Central Limit Theorem for Random “Contractive” Functions on Interval
Annales Mathematicae SilesianaeWe use the approach from Czudek and Szarek (see [1]) to prove the central limit theorem for a stationary Markov chain generated by an iterative function system for a family of increasing, injective functions on [0, 1] with “contractive” properties.
Block Maciej +2 more
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