Degree growth, linear independence and periods of a class of rational dynamical systems | Macquarie University ResearchOnline

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Title: Degree growth, linear independence and periods of a class of rational dynamical systems
Related: Arithmetic, Geometry, Cryptography and Coding Theory : International Conference (13th : 2011) (14 - 18 March 2011 : CIRM, Marseilles, France)
Related: Aubry, Yves; Ritzenthaler, Christophe and Zykin, Alexey. Arithmetic, geometry, cryptography and coding theory : 13th Conference [on] Arithmetic, Geometry, Cryptography and Coding Theory, CIRM, Marseille, France, March 14-18, 2011 : Geocrypt 2011, Bastia, France, June 19-24, 2011, p.131-143
DOI: 10.1090/conm/574/11426
Related: Contemporary mathematics 574
Publisher: Providence, R.I : American Mathematical Society
Date: 2012
Author/Creator: Ostafe, Alina
Author/Creator: Shparlinski, Igor
Description: We introduce and study algebraic dynamical systems generated by triangular systems of rational functions. We obtain several results about the degree growth and linear independence of iterates as well as about possible lengths of trajectories generated by such dynamical systems over finite fields. Some of these results are generalisations of those known in the polynomial case, some are new even in this case.
Description: 13 page(s)
Resource Type: conference paper
Organisation: Macquarie University. Dept. of Computing

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