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Acta Mathematica Sinica, English Series

Identifiers

ISSN 1439-8516
e-ISSN 1439-7617

Publisher

Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society

Additional information

Data set: Springer

Articles

article

A Normal Criterion Concerning Omitted Holomorphic Function

Jin Hua Yang, Qi Yang, Xue Cheng Pang

Acta Mathematica Sinica, English Series > 2019 > 35 > 12 > 1972-1978

In this paper, we continue to discuss the normality concerning omitted holomorphic function and get the following result. Let $$\mathcal{F}$$ F be a family of meromorphic functions on a domain D, k ≥ 4 be a positive integer, and let a(z) and b(z) be two holomorphic functions on D, where a(z) ≢ 0 and f(z) ≢ ∞ whenever a(z) = 0. If for any $$f \in \mathcal{F}$$ f ∈ F , f′(z) − a(z)fk(...
article

Quasi-modularity and Holomorphic Anomaly Equation for the Twisted Gromov-Witten Theory: $$\mathcal{O}(3)$$ O ( 3 ) over ℙ2

Xin Wang

Acta Mathematica Sinica, English Series > 2019 > 35 > 12 > 1945-1962

In this paper, we prove quasi-modularity property for the twisted Gromov-Witten theory of $$\mathcal{O}(3)$$ O ( 3 ) over ℙ2. Meanwhile, we derive its holomorphic anomaly equation.
article

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

Zi Qiang Feng, Fei Liu, Fang Wang

Acta Mathematica Sinica, English Series > 2019 > 35 > 12 > 1937-1944

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...
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