Thermodynamic Formalism on SRB Measures of Compact Convex Projective manifolds, Geometry and Counting
Year: 2026
Type: preprint
Abstract: We study the Hilbert geodesic flow on a closed convex real projective $n$-dimensional manifold. We use the thermodynamic formalism for this dissipative Anosov flow to obtain a geometric description of the SRB measure. We also deduce new counting properties for the induced representations of the fundamental groups in $SL(n+1, \R)$.
Source: arXiv (Cornell University)
Authors: Foulon, Patrick, Kim, Inkang
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7215128772