The Decay Rate of Patterson-Sullivan Measures with Potential Functions and Critical Exponents

Authors
Feng, Zi Qiang Liu, Fei
Citation
Feng, Zi Qiang et Liu, Fei, The Decay Rate of Patterson-Sullivan Measures with Potential Functions and Critical Exponents, Acta mathematica Sinica. English series (Print) , 35(12), 2019, pp. 1937-1944
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
35
Issue
12
Year of publication
2019
Pages
1937 - 1944
Database
ACNP
SICI code
Abstract
Basing upon the recent development of the Patterson-Sullivan measures with a Holder 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 Holder continuous potential function and the corresponding critical exponent.