Cycles of polynomial mappings in several variables over discrete valuation rings and over \(\mathbb Z\)

DOI10.1307/mmj/1427203287zbMath1317.13047OpenAlexW2090761168MaRDI QIDQ2346062

Tadeusz Pezda

Publication date: 29 May 2015

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mmj/1427203287

zbMATH Keywords

quadratic fieldslocal ringsDedekind domainspolynomial mapsdiscrete valuation domainspolynomial cycles

Mathematics Subject Classification ID

Quadratic extensions (11R11) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Rational and birational maps (14E05) Algebraic numbers; rings of algebraic integers (11R04) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over non-Archimedean local ground fields (37P20) Polynomials (11S05)

Related Items (1)

An algorithm determining the set of lengths of polynomial cycles in $Z_K^N$

Cites Work

• Polynomial cycles in certain rings of rationals
• Cycles for rational maps of good reduction outside a prescribed set
• Polynomial cycles in cubic fields of negative discriminant
• Finite polynomial orbits in finitely generated domains
• Cycles of quadratic polynomials and rational points on a genus-2 curve
• Cycles of polynomial mappings in two variables over rings of integers in quadratic fields
• Polynomial cycles in finitely generated domains
• Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals. II
• Polynomial cycles in rings of integers in fields of signature (\(0,2\))
• Components and Periodic Points in Non-Archimedean Dynamics
• An algorithm determining cycles of polynomial mappings in integral domains
• PERIODIC ORBITS OF QUADRATIC POLYNOMIALS
• Arithmetic properties of periodic points of quadratic maps, II
• Polynomial cycles in certain local domains
• Periodic points, multiplicities, and dynamical units.
• Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals

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