Blaschke products and expanding maps of the circle

被引：8

作者：

Tischler, D ^{[1
]}

机构：

[1] CUNY Queens Coll, Dept Math, Flushing, NY 11367 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 02期

关键词：

D O I：

10.1090/S0002-9939-99-05175-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For an analytic map of the closed unit disk onto itself that leaves the boundary circle invariant, we give necessary and sufficient conditions for the map of the boundary to be expanding.

引用

页码：621 / 622

页数：2

共 50 条

[31] A coupling approach to random circle maps expanding on the average
Stenlund, Mikko
Sulku, Henri
STOCHASTICS AND DYNAMICS, 2014, 14 (04)
[32] Spectral structure of transfer operators for expanding circle maps
Bandtlow, Oscar F.
Just, Wolfram
Slipantschuk, Julia
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2017, 34 (01): : 31 - 43
[33] EXPANDING MAPS OF COMPACT MANIFOLDS AND LOCAL HOMEOMORPHISMS OF A CIRCLE
MISIUREWICZ, M
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1970, 18 (12): : 725 - +
[34] Blaschke representation of functions on the circle
Wegert, Elias
Von Wolfersdorf, Lothar
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (01) : 161 - 170
[35] ON FINITE BLASCHKE PRODUCTS WHOSE RESTRICTIONS TO THE UNIT-CIRCLE ARE EXACT ENDOMORPHISMS
MARTIN, NFG
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1983, 15 (JUL) : 342 - 348
[36] Cramer distance and discretizations of circle expanding maps II: simulations
Guiheneuf, Pierre-Antoine
Monge, Maurizio
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2023, 1 (108-140): : 108 - 140
[37] A note on circle maps driven by strongly expanding endomorphisms on T
Bjerklov, Kristian
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2018, 33 (02): : 361 - 368
[38] ON HAUSDORFF DIMENSION OF INVARIANT-SETS FOR EXPANDING MAPS OF A CIRCLE
URBANSKI, M
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1986, 6 : 295 - 309
[39] On stochastic stability of expanding circle maps with neutral fixed points
Shen, Weixiao
van Strien, Sebastian
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2013, 28 (03): : 423 - 452
[40] Optimal transport and dynamics of expanding circle maps acting on measures
Kloeckner, Benoit
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2013, 33 : 529 - 548

← 1 2 3 4 5 →