On the asymptotic quadratic growth rate of saddle connections and periodic orbits on marked flat tori

Details On the asymptotic quadratic growth rate of saddle connections and periodic orbits on marked flat tori On the asymptotic quadratic growth rate of saddle connections and periodic orbits on marked flat tori

2001-08-24

arxiv.org/abs/math/0108169v1

Mathematics

Dynamical Systems

Latex, 24 pages, 1 figure. This is a revised version of a former preprint with the same title. An error is corrected

Scientific paper

Asymptotic quadratic growth rates of saddle connections and families of periodic cylinders on translation tori with n marked points are studied. For any marking the existence of limits of the quadratic growth rate is shown using elementary methods (not Ratners theorem). We study the growth rate limit as function of the marking. We give precise formulas for this function in the case of two marked points and describe the sets where the growth function is maximal and continuous in any case. For rational two markings we calculate the index of the Veech group in SL(2,Z) using two different ways.

Affiliated with

Also associated with

No associations

Rating

On the asymptotic quadratic growth rate of saddle connections and periodic orbits on marked flat tori does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the asymptotic quadratic growth rate of saddle connections and periodic orbits on marked flat tori, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the asymptotic quadratic growth rate of saddle connections and periodic orbits on marked flat tori will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-200486