Universal Entire Curves in Projective Spaces with Slow Growth

Zhangchi Chen; Dinh Tuan Huynh; Song Yan Xie

doi:10.1007/s12220-023-01368-w

Universal Entire Curves in Projective Spaces with Slow Growth

Zhangchi Chen^*
, Dinh Tuan Huynh
, Song Yan Xie

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We construct explicit universal entire curves h: C→ CPⁿ whose Nevanlinna characteristic functions grow slower than any preassigned transcendental growth rate. Moreover, we can make h to be hypercyclic for translation operations along any given countable directions.

Original language	English
Article number	308
Journal	Journal of Geometric Analysis
Volume	33
Issue number	9
DOIs	https://doi.org/10.1007/s12220-023-01368-w
State	Published - Sep 2023
Externally published	Yes

Keywords

Entire curves
Hypercyclicity
Nevanlinna characteristic functions
Nevanlinna theory
Rational approximations
Universality

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10.1007/s12220-023-01368-w

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@article{dbd5084836494f4dab415660d5281bb3,

title = "Universal Entire Curves in Projective Spaces with Slow Growth",

abstract = "We construct explicit universal entire curves h: C→ CPn whose Nevanlinna characteristic functions grow slower than any preassigned transcendental growth rate. Moreover, we can make h to be hypercyclic for translation operations along any given countable directions.",

keywords = "Entire curves, Hypercyclicity, Nevanlinna characteristic functions, Nevanlinna theory, Rational approximations, Universality",

author = "Zhangchi Chen and Huynh, \{Dinh Tuan\} and Xie, \{Song Yan\}",

note = "Publisher Copyright: {\textcopyright} 2023, Mathematica Josephina, Inc.",

year = "2023",

month = sep,

doi = "10.1007/s12220-023-01368-w",

language = "英语",

volume = "33",

journal = "Journal of Geometric Analysis",

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publisher = "Springer",

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T1 - Universal Entire Curves in Projective Spaces with Slow Growth

AU - Chen, Zhangchi

AU - Huynh, Dinh Tuan

AU - Xie, Song Yan

PY - 2023/9

Y1 - 2023/9

N2 - We construct explicit universal entire curves h: C→ CPn whose Nevanlinna characteristic functions grow slower than any preassigned transcendental growth rate. Moreover, we can make h to be hypercyclic for translation operations along any given countable directions.

AB - We construct explicit universal entire curves h: C→ CPn whose Nevanlinna characteristic functions grow slower than any preassigned transcendental growth rate. Moreover, we can make h to be hypercyclic for translation operations along any given countable directions.

KW - Entire curves

KW - Hypercyclicity

KW - Nevanlinna characteristic functions

KW - Nevanlinna theory

KW - Rational approximations

KW - Universality

UR - https://www.scopus.com/pages/publications/85165260631

U2 - 10.1007/s12220-023-01368-w

DO - 10.1007/s12220-023-01368-w

M3 - 文章

AN - SCOPUS:85165260631

SN - 1050-6926

VL - 33

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 9

M1 - 308

ER -

Universal Entire Curves in Projective Spaces with Slow Growth

Abstract

Keywords

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