# name
Analytical invariants of conformal transformations : a dynamical system approach

# metadata.dc.description[].value
Preprint enviat per a la seva publicació en una revista científica: Regular & Chaotic Dynamics, 1998, Vol. 3(4), pp.40-48. [https://doi.org/10.1070/RD1998v003n04ABEH000091]

# metadata.dc.description.abstract[].value
The paper is devoted to the problem of analytical classification of conformal maps of the form f: z  z+z2+ ... in a neighborhood of the degenerate fixed point z=0. It is shown that the analytical invariants, constructed in the works of Voronin and Ecalle, may be considered as a measure of splitting for stable and unstable (semi-)invariant foliations associated with the fixed point. This splitting is exponentially small with respect to the distance to the fixed point.

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Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 37.24]

# metadata.dc.source[].value
Preprints de Matemàtiques - Mathematics Preprint Series

# metadata.dc.subject.other[].value
Universitat de Barcelona. Institut de Matemàtica

# metadata.dc.title[].value
Analytical invariants of conformal transformations : a dynamical system approach