Generic invariant measures for minimal iterated function systems of homeomorphisms of the circle

Czernous Wojciech

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Generic invariant measures for minimal iterated function systems of homeomorphisms of the circle

机译：通用的最小迭代不变的措施功能系统的同胚的圆

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摘要

It is shown that the set of iterated function systems having an absolutely continuous invariant measure is negligible in the family of all systems of circle homeomorphisms satisfying the condition that the finite generator system has a proper subset, acting minimally, and having no measure invariant simultaneously for all its maps.

机译：结果表明,迭代函数的集合系统拥有一个绝对连续不变的衡量家庭中可以忽略不计同胚满足系统的循环条件有限的发电机系统真子集,最低限度,没有测量不变的同时为其所有地图。

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来源
《Annales Polonici Mathematici》 |2020年第1期|33-46|共14页
作者
Czernous Wojciech;
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作者单位

Univ Gdansk, Fac Oceanog & Geog, Inst Oceanog, Marszalka Jozefa Pilsudskiego 47, PL-81378 Gdynia, Poland;

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原文格式 PDF
正文语种英语
中图分类
关键词
Singularity; Circles; InvariantProper subsetIterated Function System;

机译：奇点;圈;InvariantProper subsetIterated功能系统;

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Generic invariant measures for minimal iterated function systems of homeomorphisms of the circle

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