Intertwined mappings

DOI10.5802/afst.1073zbMath1091.37008OpenAlexW4239012112MaRDI QIDQ817455

Bruno Vallet, Jean Écalle

Publication date: 16 March 2006

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2004_6_13_3_291_0

zbMATH Keywords

twinsbound groups of mappingsidentity-tangent mappingslocal complex diffeomorphismsmapping germs

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Normal forms for dynamical systems (37G05) Germs of analytic sets, local parametrization (32B10) Singularities of holomorphic vector fields and foliations (32S65) Lie groups (22E99) Universality and renormalization of dynamical systems (37E20) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Related Items (2)

The natural growth scale ⋮ Generic pseudogroups on and the topology of leaves

Cites Work

• The group generated by \(x\mapsto x+1\) and \(x\mapsto x^ p\) is free
• The ubiquity of free groups
• Correction and linearization of resonant vector fields and diffeomorphisms
• Cohesive functions and weak accelerations
• The arborification-coarborification transform: analytic, combinatorial, and algebraic aspects
• Almost all subgroups of a Lie group are free
• Free subgroups in linear groups
• Composites of translations and odd rational powers act freely
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