有理映射半群的适应性和最大熵的测度[j]

Pub Date : 2021-09-23 DOI:10.1142/s0218196723500492

P. Makienko, Carlos Cabrera

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引用次数: 0

摘要

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。

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

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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