On amenability and measure of maximal entropy for semigroups of rational maps: II
| Autor: | Makienko, Peter, Cabrera, Carlos |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 27 pages |
| Databáze: | arXiv |
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