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Fast Escaping Sets of meromorphic functions

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Jianhua Zheng, Zuxing Xuan

Dynamical Systems · Submitted 2 Jul 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In this paper, we give a definition of Eremenko's point of a meromorphic function with infinitely many poles and a condition for its existence in narrow annuli in terms of a covering theorem of annulus.

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arXiv ID1607.00461 (version 2)
Pith ID3VD67JY7, Pith's permanent record of this paper and its review
CitationJianhua Zheng, Zuxing Xuan. "Fast Escaping Sets of meromorphic functions." arXiv:1607.00461 (2016). https://pith.science/paper/3VD67JY7
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,643 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.27 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.06 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; .

In this paper, we give a definition of Eremenko's point of a meromorphic function with infinitely many poles and a condition for its existence in narrow annuli in terms of a covering theorem of annulus.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this paper, we give a definition of Eremenko's point of a meromorphic function with infinitely many poles and a condition for its existence in narrow annuli in terms of a covering theorem of annulus. contribution 1.00 0.92 0.36 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In this paper, we give a definition of Eremenko's point of a meromorphic function with infinitely many poles and a condition for its existence in narrow annuli in terms of a covering theorem of annulus.

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