The Cycle Structure of Unicritical Polynomials

DOI10.1093/imrn/rny232zbMath1465.37110arXiv1801.03215OpenAlexW2963334203MaRDI QIDQ5854246

Andrew Bridy, Derek Garton

Publication date: 16 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.03215

zbMATH Keywords

number of cyclesPollard's algorithmconjectural randomnessdynamical systems indexed by primes

Mathematics Subject Classification ID

Polynomials in real and complex fields: factorization (12D05) Generation, random and stochastic difference and differential equations (37H10) Factorization; primality (11A51) Factorization (11Y05) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic properties of periodic points (37P35)

Related Items (3)

Periodic points and tail lengths of split polynomial maps modulo primes ⋮ Periodic points of polynomials over finite fields ⋮ Functional graphs of families of quadratic polynomials

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