2018/10/25 by Feng, Ziqiang, Liu, Fei, Wang, Fang
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1810.11133
Basing upon the recent development of the Patterson-Sullivan measures with a Hölder continuous nonzero potential function, we use tools of both dynamics of geodesic flows and geometric properties of negatively curved manifolds to present a new formula illustrating the relation between the exponential decay rate of Patterson-Sullivan measures with a Hölder continuous potential function and the corresponding critical exponent.