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

The Decay Rate of Patterson-Sullivan Measures with Potential Functions and Critical Exponents
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具有势函数和临界指数的 Patterson-Sullivan 测度的衰减率

DOI:
10.1007/s10114-019-8558-3
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发表时间:
2018-10
期刊:
Acta Mathematica Sinica. English Series
影响因子:
--
通讯作者:
Wang Fang
Wang Fang
中科院分区:
其他
文献类型:
--
作者:
Feng Zi Qiang;Liu Fei;Wang Fang

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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.
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