Factorization properties of birational mappings

S Boukraa and J-M Maillard

Physica A: Statistical Mechanics and its Applications, 1995, vol. 220, issue 3, 403-470

Abstract: We analyse birational mappings generated by transformations on q × q matrices which correspond respectively to two kinds of transformations: the matrix inversion and a permutation of the entries of the q × q matrix. Remarkable factorization properties emerge for quite general involutive permutations.

Keywords: Birational transformations; Rational transformations; Discrete dynamical systems; Non-linear recursion relations; Iterations; Integrable mappings; Elliptic curves; Algebraic surfaces; Automorphisms of algebraic varieties; Complexity of iterations; Polynomial growth; Lattice statistical mechanics (search for similar items in EconPapers)
Date: 1995
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:220:y:1995:i:3:p:403-470

DOI: 10.1016/0378-4371(95)00220-2

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