The Lyapunov exponent in the Sinai billiard in the small scatterer limit
Abstract
We show that Lyapunov exponent for the Sinai billiard is λ = -2(R)+C+O(R2 R) with C=1-4 2+27/(2π2)· ζ(3) where R is the radius of the circular scatterer. We consider the disk-to-disk-map of the standard configuration where the disks is centered inside a unit square.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.