A nonalgebraic attractor in $\mathbf {P}^{2}$
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- by Mattias Jonsson and Brendan Weickert PDF
- Proc. Amer. Math. Soc. 128 (2000), 2999-3002 Request permission
Abstract:
We construct a nonalgebraic attractor for a holomorphic mapping on $\mathbf {P}^{2}$. The construction uses ideas from one-dimensional complex dynamics.References
- Lennart Carleson and Theodore W. Gamelin, Complex dynamics, Universitext: Tracts in Mathematics, Springer-Verlag, New York, 1993. MR 1230383, DOI 10.1007/978-1-4612-4364-9
- J. E. Fornæss and B. Weickert. Attractors in $\mathbf {P}^2$. Preprint.
- David Ruelle, Elements of differentiable dynamics and bifurcation theory, Academic Press, Inc., Boston, MA, 1989. MR 982930
Additional Information
- Mattias Jonsson
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
- MR Author ID: 631360
- Email: mattiasj@math.lsa.umich.edu
- Brendan Weickert
- Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
- Email: brendan@math.uchicago.edu
- Received by editor(s): December 8, 1998
- Published electronically: 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 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2999-3002
- MSC (2000): Primary 32H50; Secondary 37F10, 37C70
- DOI: https://doi.org/10.1090/S0002-9939-00-05529-5
- MathSciNet review: 1694868