Geodesic
Geometry and dynamics of Galois fields
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 6, pp. 1029-1046 
V. I. Arnol'd. Geometry and dynamics of Galois fields. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 6, pp. 1029-1046. http://geodesic.mathdoc.fr/item/RM_2004_59_6_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The tables defining operations in finite fields possess many properties of tables of random numbers. A distinctive variant is discussed of automorphisms of tori in the theory of dynamical systems for which a torus has finitely many points. Also established are the actions of Frobenius transformations of finite fields onto projective structures of finite projective spaces describing the geometry of the field.

[1] V. I. Arnold, Fermat dynamics of matrices, finite circles and finite Lobachevsky planes, Cahiers du CEREMADE, No. 0434, Université Paris-Dauphine, Paris, 3 juin 2004