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This article is cited in 1 scientific paper (total in 1 paper)
Analitical Invariants of Conformal Transformations. A Dynamical System Approach
V. G. Gelfreich Department of Applied Mathematics,
University of St.Petrsurg
Abstract:
The paper is devoted to the problem of analytical classification of conformal maps of the form $f:z \to z + z^2 + \ldots$ 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.
Received: 02.08.1998
Citation:
V. G. Gelfreich, “Analitical Invariants of Conformal Transformations. A Dynamical System Approach”, Regul. Chaotic Dyn., 3:4 (1998), 40–48
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https://www.mathnet.ru/eng/rcd960 https://www.mathnet.ru/eng/rcd/v3/i4/p40
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Abstract page: | 56 |
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