• Corpus ID: 221340798

On amenable semigroups of rational functions

  title={On amenable semigroups of rational functions},
  author={Fedor Pakovich},
  journal={arXiv: Dynamical Systems},
  • F. Pakovich
  • Published 27 August 2020
  • Mathematics
  • arXiv: Dynamical Systems
We characterize left and right amenable semigroups of polynomials of one complex variable with respect to the composition operation. We also prove a number of results about amenable semigroups of arbitrary rational functions. In particular, we show that under quite general conditions a semigroup of rational functions is left amenable if and only if it is a subsemigroup of the centralizer of some rational function. 
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