Asymptotic behavior of grafting rays

The Asymptotic Behavior of Jenkins-strebel Rays

In this paper, we consider the asymptotic behavior of two Teichmüller geodesic rays determined by Jenkins-Strebel differentials, and we obtain a generalization of a theorem by the author in On behavior of pairs of Teichmüller geodesic rays, 2014 . We also consider the infimum of the asymptotic distance up to choice of base points of the rays along the geodesics. We show that the infimum is repr...

Comparing Iterated Grafting and Grafting Rays

LetX be a closed oriented hyperbolic surface and γ a simple closed geodesic, which is short on X. We show that the iterated grafting grtγgrsγX is close to the grafting ray gr(s+T )γX in the Teichmüller metric, where the bounds depend on the length of γ only. Using this result, we show that the holonomy lifts gr2πγgrtγX of a grafting ray all lie in a r-tube around the ray grtγX and the rays grtγ...

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

Asymptotic behavior of ACMA

The algebraic constant modulus algorithm (ACMA) is a noniterative blind source separation algorithm. It computes jointly beamforming vectors for all constant modulus sources as the solution of a joint diagonalization problem. In this paper we analyze its asymptotic properties and show that (unlike the iterative CMA) it converges to the Wiener solution in samples or SNR. We also sketch its conne...

Asymptotic behavior of permutation records

Article history: Received 14 June 2008 Available online 8 April 2009