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1997

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/152197

Analytical invariants of conformal transformations : a dynamical system approach

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Abstract

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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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]

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Varietats (Matemàtica), Equacions diferencials ordinàries

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Universitat de Barcelona. Institut de Matemàtica

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Preprints de Matemàtiques - Mathematics Preprint Series

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GELFREICH, Vasily G. Analytical invariants of conformal transformations : a dynamical system approach. [consulted: 6 of June of 2026]. Available at: https://hdl.handle.net/2445/152197

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