scientific article

zbMath0791.30019MaRDI QIDQ3139582

Ricardo Pérez-Marco

Publication date: 21 June 1994

Full work available at URL: http://www.numdam.org/item?id=SB_1991-1992__34__273_0

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zbMATH Keywords

small denominatorsCremer pointsSiegel's linearization theorem

Mathematics Subject Classification ID

Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration theory, iterative and composite equations (39B12)

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Germ of presentable foliations of the complex plane ⋮ Elliptic fixed points with an invariant foliation: some facts and more questions ⋮ Modulus of analytic classification for the generic unfolding of a codimension 1 resonant diffeomorphism or resonant saddle ⋮ Iteration of meromorphic functions ⋮ Explicit linearization of one-dimensional germs through tree-expansions ⋮ Renormalization, isogenies, and rational symmetries of differential equations ⋮ Small cycles property of some Cremer rational maps and polynomials ⋮ On the nonexistence of iterative roots ⋮ Algebra, geometry, and topology of the substitution group of formal power series ⋮ Equivalence problem for Bishop surfaces ⋮ Plurisubharmonic functions on a neighborhood of a torus leaf of a certain class of foliations ⋮ Two dimensional neighborhoods of elliptic curves: analytic classification in the torsion case

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