Sequences of fixed point indices of iterations in dimension 2.
Sharp determinants.
S-integer dynamical systems: periodic points.
Some analogies between number theory and dynamical systems on foliated spaces.
Some common fixed point results for rational type contraction mappings in partially ordered metric spaces
The purpose of this paper is to establish some common fixed point results for -nondecreasing mappings which satisfy some nonlinear contractions of rational type in the framework of metric spaces endowed with a partial order. Also, as a consequence, a result of integral type for such class of mappings is obtained. The proved results generalize and extend some of the results of J. Harjani, B. Lopez, K. Sadarangani (2010) and D. S. Jaggi (1977).
Some lemmas about dynamical systems.
Sur les dynamiques holomorphes non linéarisables et une conjecture de V. I. Arnold
Symbolic dynamics and geodesic flows
Systèmes intégrables à -corps sur la droite