Farey curves

Xavier Buff; Christian Henriksen; John H. Hubbard

doi:10.1080/10586458.2001.10504667

Farey curves

Xavier Buff
, Christian Henriksen
, John H. Hubbard

Université Paul Sabatier Toulouse III
Cornell University

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We study the analytic function n defined on the unit disk by (formula presented), where P_λ is the quadratic polynomial Z → λZ + Z².

Original language	English
Journal	Experimental Mathematics
Volume	10
Issue number	4
Pages (from-to)	481-486
ISSN	1058-6458
DOIs	https://doi.org/10.1080/10586458.2001.10504667
Publication status	Published - 2001

Keywords

Analytic functions
Holomorphic dynamics
Siegel disks

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10.1080/10586458.2001.10504667

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@article{ab299ede755f4807b75b9129b3298743,

title = "Farey curves",

abstract = "We study the analytic function n defined on the unit disk by (formula presented), where Pλ is the quadratic polynomial Z → λZ + Z2.",

keywords = "Analytic functions, Holomorphic dynamics, Siegel disks",

author = "Xavier Buff and Christian Henriksen and Hubbard, \{John H.\}",

year = "2001",

doi = "10.1080/10586458.2001.10504667",

language = "English",

volume = "10",

pages = "481--486",

journal = "Experimental Mathematics",

issn = "1058-6458",

publisher = "Taylor and Francis Ltd.",

number = "4",

}

TY - JOUR

T1 - Farey curves

AU - Buff, Xavier

AU - Henriksen, Christian

AU - Hubbard, John H.

PY - 2001

Y1 - 2001

N2 - We study the analytic function n defined on the unit disk by (formula presented), where Pλ is the quadratic polynomial Z → λZ + Z2.

AB - We study the analytic function n defined on the unit disk by (formula presented), where Pλ is the quadratic polynomial Z → λZ + Z2.

KW - Analytic functions

KW - Holomorphic dynamics

KW - Siegel disks

U2 - 10.1080/10586458.2001.10504667

DO - 10.1080/10586458.2001.10504667

M3 - Journal article

AN - SCOPUS:0035562292

SN - 1058-6458

VL - 10

SP - 481

EP - 486

JO - Experimental Mathematics

JF - Experimental Mathematics

IS - 4

ER -

Farey curves

Abstract

Keywords

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