紧致凸射影流形的SRB测度上的热力学形式、几何与计数
Thermodynamic Formalism on SRB Measures of Compact Convex Projective manifolds, Geometry and Counting
AI总结：
研究闭凸实射影流形上的希尔伯特测地流，利用热力学形式描述SRB测度，并推导基本群诱导表示的新计数性质。
AI中文摘要：
我们研究了闭凸实射影$n$维流形上的希尔伯特测地流。我们利用这一耗散阿诺索夫流的热力学形式，获得了SRB测度的几何描述。我们还推导了$SL(n+1,\R)$中基本群的诱导表示的新计数性质。
英文摘要：
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 $SL(n+1, \R)$.
