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arXiv · 1810.11133

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

Ziqiang Feng·Fei Liu·Fang Wang
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Abstract

Basing upon the recent development of the Patterson-Sullivan measures with a H\"older 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 H\"older continuous potential function and the corresponding critical exponent.

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Ziqiang Feng, Fei Liu, Fang Wang. 2018-10-25. The Decay Rate of Patterson-Sullivan Measures with Potential Functions and Critical Exponents. https://arxiv.org/abs/1810.11133

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