On amenability and measure of maximal entropy for semigroups of rational maps: II

IF 0.5 2区数学 Q3 MATHEMATICS

International Journal of Algebra and Computation Pub Date : 2021-09-23 DOI:10.1142/s0218196723500492

P. Makienko, Carlos Cabrera

引用次数: 0

Abstract

We compare dynamical and algebraic properties of semigroups of rational maps. In particular, we show a version of the Day-von Neumann's conjecture and give a partial positive answer to"Sushkievich's problem"for semigroups of rational maps. We also show the relation of these conjectures with Furstenberg's $\times 2 \times 3$ problem and prove a coarse version of Furstenberg's problem for semigroups of non-exceptional polynomials.

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有理映射半群的适应性和最大熵的测度[j]

比较了有理映射半群的动力学性质和代数性质。特别地，我们给出了Day-von Neumann猜想的一个版本，并给出了有理映射半群的“Sushkievich问题”的部分正答案。我们还证明了这些猜想与Furstenberg的$\ × 2 \ × 3$问题的关系，并证明了非例外多项式半群的Furstenberg问题的一个粗糙版本。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Algebra and Computation 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.