A Refined Conjecture for Factorizations of Iterates of Quadratic Polynomials over Finite Fields

DOI10.1080/10586458.2014.992079zbMath1418.11158arXiv1312.6767OpenAlexW1549786909WikidataQ114099362 ScholiaQ114099362MaRDI QIDQ2813820

Shixiang Xia, Vefa Goksel, Nigel Boston

Publication date: 27 June 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6767

zbMATH Keywords

iterationquadratic polynomialMarkov processfactorization

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Arithmetic theory of polynomial rings over finite fields (11T55) Dynamical systems over finite ground fields (37P25)

Related Items (5)

Settled elements in profinite groups ⋮ Counting periodic points on quotient varieties over \(\mathbb{F}_q\) ⋮ A note on the stability of trinomials over finite fields ⋮ Markov processes and some PCF quadratic polynomials ⋮ Current trends and open problems in arithmetic dynamics

Cites Work

• Non-negative matrices and Markov chains.
• ON STABLE QUADRATIC POLYNOMIALS
• Settled polynomials over finite fields
• The Algebraic Theory of Matrix Polynomials

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