Correlation of the renormalized Hilbert length for convex projective surfaces
Correlation of the renormalized Hilbert length for convex projective surfaces
Abstract In this paper, we focus on dynamical properties of (real) convex projective surfaces. Our main theorem provides an asymptotic formula for the number of free homotopy classes with roughly the same renormalized Hilbert length for two distinct convex real projective structures. The correlation number in this asymptotic formula is …