Gelfreich, Vasily G.2020-03-062020-03-061997https://hdl.handle.net/2445/152197Preprint 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]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.12 p.application/pdfeng(c) Vasily G. Gelfreich, 1997Varietats (Matemàtica)Equacions diferencials ordinàriesUniversitat de Barcelona. Institut de Matemàticainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess