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http://hdl.handle.net/2445/152197
Title: | Analytical invariants of conformal transformations : a dynamical system approach |
Author: | Gelfreich, Vasily G. |
Keywords: | Varietats (Matemàtica) Equacions diferencials ordinàries Universitat de Barcelona. Institut de Matemàtica |
Issue Date: | 1997 |
Publisher: | Universitat de Barcelona |
Series/Report no: | Mathematics Preprint Series; 229 |
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. |
Note: | 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] |
Note: | Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 37.24] |
URI: | http://hdl.handle.net/2445/152197 |
Appears in Collections: | Preprints de Matemàtiques - Mathematics Preprint Series |
Files in This Item:
File | Description | Size | Format | |
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MPS_N229.pdf | 743.7 kB | Adobe PDF | View/Open |
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