arXiv Analytics

Sign in

arXiv:2110.01507 [math.DS]AbstractReferencesReviewsResources

Semigroups of rational functions: some problems and conjectures

Fedor Pakovich

Published 2021-10-04, updated 2022-02-23Version 2

We formulate some problems and conjectures about semigroups of rational functions under composition. The considered problems arise in different contexts, but most of them are united by a certain relationship to the concept of amenability.

Comments: arXiv admin note: text overlap with arXiv:2008.12194
Categories: math.DS, math.CV
Related articles: Most relevant | Search more
arXiv:0812.4483 [math.DS] (Published 2008-12-24, updated 2011-01-19)
Random complex dynamics and semigroups of holomorphic maps
arXiv:1303.2705 [math.DS] (Published 2013-03-11)
Random Iteration of Rational Functions
arXiv:0909.4130 [math.DS] (Published 2009-09-23)
Digraph Representations Of Rational Functions Over $p$-adic Numbers

Links

Toolbox