English

Generalized Chacon polynomial constructions

Dynamical Systems 2018-03-28 v2 Functional Analysis Probability

Abstract

We define a generalization of Chacon's classical automorphism and answer the question of whether its important properties remain. We calculate the family of polynimials representing the automorphism, given in recurrence formulae, and infer its basic characterictics, namely the palindromic property and the sequence of degrees.

Keywords

Cite

@article{arxiv.1802.09372,
  title  = {Generalized Chacon polynomial constructions},
  author = {Vladislav Slyusarev},
  journal= {arXiv preprint arXiv:1802.09372},
  year   = {2018}
}
R2 v1 2026-06-23T00:33:39.939Z