Sharp bounds for the valence of certain harmonic polynomials

Proceedings of the American Mathematical Society

Volumn 136, Issue 2, 2008, Pages 549-555

  Geyer, Lukas ^a  

^a MONTANA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 47149087415     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-07-08946-0     Document Type: Article

References (9)

1. Bielefeld, B., Fisher, Y. and Hubbard, J., The Classification of Critically Preperiodic PolynomialsasDynamical Systems, Journal of the AMS, Vol. 5, no. 4, (1992), 721-762. MR1149891 (93h:58128)
2. Douady, A. and Hubbard, J., A proof of Thurston's topological characterization of rational functions, Acta. Math., 171 (1993), 263-297. MR1251582 (94j:58143)
3. Khavinson, D. and Neumann, G., On the number of zeros of certain rational harmonic functions, arXiv:math.CV/0401188 v2. MR2196041
4. Khavinson, D. and Świa̧tek, G., On the number of zeros of certain harmonic polynomials, Proc. AMS, 131(2), (2002), 409-414. MR1933331 (2003j:30015) (Pubitemid 36208972)
5. Levy, S., Critically finite rational maps, Ph.D. Thesis, Princeton University, 1985.
6. Pilgrim, K., Canonical Thurston obstructions, Advances in Mathematics, 158 (2001), 154-168. MR1822682 (2001m:57004) (Pubitemid 33654734)
7. Poirier, A., Hubbard forests, IMS Preprint 92-12, (1992).
8. Poirier, A., On post critically finite polynomials. Part two: Hubbard trees, IMS Preprint 93-07, (1993).
9. Rhie, S. H., n-point Gravitational Lenses with 5(n - 1) Images, arXiv:astro-ph/0305166 v1.