Simultaneous linearization of germs of commuting holomorphic diffeomorphisms

DOI10.1017/S0143385711000307zbMath1333.37056arXiv0911.2766OpenAlexW2110088458MaRDI QIDQ3166350

Kingshook Biswas

Publication date: 11 October 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2766

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Continued fractions and generalizations (11J70) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Universality and renormalization of dynamical systems (37E20) Renormalization of holomorphic dynamical systems (37F25)

Related Items (4)

Holomorphic linearization of commuting germs of holomorphic maps ⋮ Dynamics and integrability for germs of complex vector fields with singularity in dimension two ⋮ A Darboux-type theorem for germs of holomorphic one-dimensional foliations ⋮ The ramificant determinant

Cites Work

• On commuting circle mappings and simultaneous Diophantine approximations
• The Brjuno functions and their regularity properties
• Fixed points and circle maps
• Non linearizable holomorphic dynamics having an uncountable number of symmetries
• Sur les dynamiques holomorphes non linéarisables et une conjecture de V. I. Arnold

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