On Pommerenke's inequality for the eigenvalues of fixed points

G. Levin

Colloquium Mathematicae (1991)

  • Volume: 62, Issue: 1, page 167-177
  • ISSN: 0010-1354

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Levin, G.. "On Pommerenke's inequality for the eigenvalues of fixed points." Colloquium Mathematicae 62.1 (1991): 167-177. <http://eudml.org/doc/210092>.

@article{Levin1991,
author = {Levin, G.},
journal = {Colloquium Mathematicae},
keywords = {iteration theory; polynomial-like},
language = {eng},
number = {1},
pages = {167-177},
title = {On Pommerenke's inequality for the eigenvalues of fixed points},
url = {http://eudml.org/doc/210092},
volume = {62},
year = {1991},
}

TY - JOUR
AU - Levin, G.
TI - On Pommerenke's inequality for the eigenvalues of fixed points
JO - Colloquium Mathematicae
PY - 1991
VL - 62
IS - 1
SP - 167
EP - 177
LA - eng
KW - iteration theory; polynomial-like
UR - http://eudml.org/doc/210092
ER -

References

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  1. [1] L. Ahlfors, Lectures on Quasiconformal Mappings, Van Nostrand, 1966. 
  2. [2] A. Douady, Systèmes dynamiques holomorphes, in: Séminaire Bourbaki, 35e année, 1982, No. 599. 
  3. [3] A. È. Eremenko and G. M. Levin, On periodic points of polynomials, Ukrain. Mat. Zh. 41 (1989), 1467-1471. Zbl0686.30019
  4. [4] P. Fatou, Sur les équations fonctionnelles, Bull. Soc. Math. France 47 (1919), 161-271. Zbl47.0921.02
  5. [5] P. Fatou, Sur les équations fonctionnelles, ibid. 48 (1920), 33-94, 208-314. 
  6. [6] G. Julia, Mémoire sur l'itération des fonctions rationnelles, J. Math. Pures Appl. 8 (1918), 47-245. Zbl46.0520.06
  7. [7] Ch. Pommerenke, On conformal mapping and iteration of rational functions, Complex Variables 5 (2-4) (1986), 117-126. 
  8. [8] F. Przytycki, M. Urbański and A. Zdunik, Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps, I, Ann. of Math. 130 (1989), 1-40. 
  9. [9] M. Schröder, Über unendlich-viele Algorithmen zur Auflösung der Gleichungen, Math. Ann. 2 (1870), 317-365. 
  10. [10] J. C. Yoccoz, Sur la taille des membres de l'ensemble de Mandelbrot, manuscript, 1987. 

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