Markov spectra for modular billiards

2018/03/14 by Andersen, Nickolas, Duke, William
#Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1803.05096

Abstract

We introduce some analogues of the Markov spectrum defined in terms of modular billiards and consider the problem of characterizing that part of the spectrum below the lowest limit point.

Related

• Markov approximations and statistical properties of billiards
• Markov Towers and Stochastic Properties of Billiards
• Symbolic Dynamics and Markov Partitions for the Stadium Billiard
• Markov spectrum near Freiman's isolated points in M∖ L
• Fractal geometry of the complement of Lagrange spectrum in Markov spectrum