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A nonalgebraic attractor in $\mathbf{P}^{2}$

Author(s): Mattias Jonsson; Brendan Weickert
Journal: Proc. Amer. Math. Soc. 128 (2000), 2999-3002.
MSC (2000): Primary 32H50; Secondary 37F10, 37C70
Posted: April 28, 2000
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Abstract | References | Similar articles | Additional information

Abstract:

We construct a nonalgebraic attractor for a holomorphic mapping on $\mathbf{P}^{2}$ . The construction uses ideas from one-dimensional complex dynamics.

References:

[CG]: L. Carleson and T. W. Gamelin.
Complex Dynamics.
Springer-Verlag, 1993. MR 94h:30033
[FW]: J. E. Fornæss and B. Weickert.
Attractors in $\ensuremath{\mathbf{P}^2}$ .
Preprint.
[R]: D. Ruelle.
Elements of differentiable dynamics and bifurcation theory.
Academic Press, 1989. MR 90f:58048

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Additional Information:

Mattias Jonsson
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
Email: mattiasj@math.lsa.umich.edu

Brendan Weickert
Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
Email: brendan@math.uchicago.edu

DOI: 10.1090/S0002-9939-00-05529-5
PII: S 0002-9939(00)05529-5
Keywords: Attractors, holomorphic dynamics
Received by editor(s): December 8, 1998
Posted: April 28, 2000
Additional Notes: This paper was partly written while the first author was at Université-Sud, supported by a TMR postdoctoral fellowship. The same author is now supported by STINT. The second author is supported by an NSF postdoctoral fellowship.
Communicated by: Michael Handel
Copyright of article: Copyright 2000, American Mathematical Society


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