Results 11 to 20 of about 586 (54)
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
core +4 more sources
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
core +1 more source
On the application of ergodic theory to alternating Engel series
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 12, Page 813-819, 2001., 2001 We investigate the ergodic behaviour of the basic operator which generates the modified Engel‐type alternating series representations of any number in (0, 1] in terms of rationals.
C. Ganatsiou
wiley +1 more source
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
core +4 more sources
About the existence of the thermodynamic limit for some deterministic sequences of the unit circle
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 12, Page 857-863, 2000., 2000 We show that in the set Ω=ℝ+×(1,+∞)⊂ℝ+2, endowed with the usual Lebesgue measure, for almost all (h, λ) ∈ Ω the limit limn→+∞(1/n)ln|h(λn−λ−n)mod[-12,12)| exists and is equal to zero. The result is related to a characterization of relaxation to equilibrium in mixing automorphisms of the two‐torus.
Stefano Siboni
wiley +1 more source
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.
core +3 more sources
Level sets of multiple ergodic averages [PDF]
, 2011 We propose to study multiple ergodic averages from multifractal analysis point of view. In some special cases in the symbolic dynamics, Hausdorff dimensions of the level sets of multiple ergodic average limit are determined by using Riesz products ...
Ai-Hua, Fan, Liao, Lingmin, Ma, Ji-Hua
core +2 more sources
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
core +1 more source
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
A quantified Tauberian theorem for sequences
, 2015 The main result of this paper is a quantified version of Ingham's Tauberian theorem for bounded vector-valued sequences rather than functions. It gives an estimate on the rate of decay of such a sequence in terms of the behaviour of a certain boundary ...
Seifert, David
core +1 more source