The asymptotic behavior of Jenkins-Strebel 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...

On the Existence of Jenkins-strebel Differentials Using Harmonic Maps from Surfaces to Graphs

We give a new proof of the existence ([HM], [Ren]) of a Jenkins-Strebel differential Φ on a Riemann surface R with prescribed heights of cylinders by considering the harmonic map from R to the leaf space of the vertical foliation of Φ, thought of as a Riemannian graph. The novelty of the argument is that it is essentially Riemannian as well as elementary; moreover, the harmonic maps existence t...

On Behavior of Pairs of Teichmüller Geodesic Rays

In this paper, we obtain the explicit limit value of the Teichmüller distance between two Teichmüller geodesic rays which are determined by Jenkins-Strebel differentials having a common end point in the augmented Teichmüller space. Furthermore, we also obtain a condition under which these two rays are asymptotic. This is similar to a result of Farb and Masur.

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

an inverstigation into the shrinkage behavior (kinetics) of microfilled hybrid and nano dental composites

چکیده ندارد.