ERGODIC PROPERTIES OF RATIONAL FUNCTIONS THAT PRESERVE LEBESGUE MEASURE ON R

Rachel L. Bayless

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ERGODIC PROPERTIES OF RATIONAL FUNCTIONS THAT PRESERVE LEBESGUE MEASURE ON R

机译：保留R的勒贝格度量的有理函数的ERGODIC性质

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摘要

We prove that all negative generalized Boole transformations are conservative, exact, pointwise dual ergodic, and quasi-finite with respect to Lebesgue measure on the real line. We then provide a formula for computing the Krengel, Parry, and Poisson entropy of all conservative rational functions that preserve Lebesgue measure on the real line.

机译：我们证明，相对于实线上的Lebesgue测度，所有负的广义Boole变换都是保守的，精确的，逐点对偶遍历的和拟有限的。然后，我们提供了一个公式，用于计算所有保守有理函数的Krengel，Parry和Poisson熵，这些函数将Lebesgue测度保留在实际直线上。

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来源
《Real analysis exchange》 |2018年第1期|137-153|共17页
作者
Rachel L. Bayless;
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作者单位

Department of Mathematics, Agnes Scott College, Decatur. GA 30030 U.S.A.;

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原文格式 PDF
正文语种 eng
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关键词
entropy; infinite measure; rational functions; generalized Boole transformations;

机译：熵;无穷度量;有理函数;广义Boole变换;

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2. Rational countable steps functions on the circle and ergodicity of Maharam measures [J] . Julien Bremont Bulletin of the London Mathematical Society . 2013,第Pta4期

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3. Ergodic properties of infinite measure-preserving interval maps with indifferent fixed points [J] . Roland Zweimuller Ergodic Theory and Dynamical Systems . 2000,第5期

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4. Lebesgue Functions of Rational Interpolations of Non-band-limited Functions [C] . Margit Pap, Akos Pilgermajer International Conference on Sampling Theory and Applications . 2017

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8. Functional Occupation Measures and Ergodic Cost Problems for Singularly Perturbed Stochastic Systems [R] . Kushner, H. J. 1989

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ERGODIC PROPERTIES OF RATIONAL FUNCTIONS THAT PRESERVE LEBESGUE MEASURE ON R

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