Iterations of linear maps over finite fields

DOI10.1016/J.LAA.2005.09.002zbMath1145.37011OpenAlexW2159188832WikidataQ56863596 ScholiaQ56863596MaRDI QIDQ817652

John G. Stevens, Michał Misiurewicz, Diana Maria Thomas

Publication date: 16 March 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2005.09.002

zbMATH Keywords

cellular automataDucci sequencesdynamics of linear maps

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Additive difference equations (39A10) Polynomials over finite fields (11T06) Dynamical aspects of cellular automata (37B15)

Related Items (7)

One-dimensional cellular automata with random rules: longest temporal period of a periodic solution ⋮ Periodic solutions of one-dimensional cellular automata with uniformly chosen random rules ⋮ Dynamics of finite linear cellular automata over \(\mathbb Z_N\) ⋮ LOWER BOUNDS FOR PERIODS OF DUCCI SEQUENCES ⋮ Characteristic and minimal polynomials of linear cellular automata ⋮ Ducci sequences and cyclotomic fields ⋮ Noncommutative algebraic dynamics: ergodic theory for profinite groups

Cites Work

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• Algebraic properties of cellular automata
• Cylindrical cellular automata
• Cycles of differences of integers
• On the construction of state diagrams for cellular automata with additive rules
• Characteristic and minimal polynomials of linear cellular automata
• Transient and cyclic behavior of cellular automata with null boundary conditions
• Geometry of linear maps over finite fields
• Periodic forests of stunted trees
• Linear cellular automata and recurring sequences in finite fields

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