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Original Articles

The Geometry of the Critically Periodic Curves in the Space of Cubic Polynomials

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Pages 99-111 | Published online: 18 Mar 2013

REFERENCES

  • Bonifant , [Bonifant et al. 10] A. , Kiwi , J. and Milnor , J. 2010 . Cubic Polynomial Maps with Periodic Critical Orbit. II: Escape Regions . Conform. Geom. Dyn. , 14 : 68 – 112 .
  • Branner , [Branner 93] B. 1993 . “ Cubic Polynomials: Turning Around the Connectedness Locus ” . In Topological Methods in Modern Mathematics (Stony Brook, NY, 1991) , 391 – 427 . Publish or Perish .
  • Branner , [Branner and Hubbard 92] B. and Hubbard , J. H. 1992 . The Iteration of Cubic Polynomials. II. Patterns and Parapatterns . Acta Math. , 169 : 229 – 325 .
  • DeMarco , [DeMarco and McMullen 08] L. and McMullen , C. 2008 . Trees and the Dynamics of Polynomials . Ann. Sci. École Norm. Sup. , 41 : 337 – 383 .
  • DeMarco , [DeMarco and Pilgrim 11a] L. and Pilgrim , K. 2011 . Polynomial Basins of Infinity . Geom. Funct. Anal. , 21 : 920 – 950 .
  • DeMarco , [DeMarco and Pilgrim 11b] L. and Pilgrim , K. 2011 . The Classification of Polynomial Basins of Infinity . Preprint
  • DeMarco , [DeMarco and Schiff 10] L. and Schiff , A. 2010 . Enumerating the Basins of Infinity of Cubic Polynomials . J. Difference Equ. Appl. , 16 : 451 – 461 .
  • Douady , [Douady and Hubbard 85] A. and Hubbard , J. H. 1985 . On the Dynamics of Polynomial-like Mappings . Ann. Sci. École Norm. Sup. (4) , 18 : 287 – 343 .
  • Dujardin , [Dujardin 09] R. 2009 . “ Cubic Polynomials: A Measurable View of Parameter Space ” . In Complex Dynamics , 451 – 489 . A K Peters .
  • Kiwi , [Kiwi 06] J. 2006 . Puiseux Series Polynomial Dynamics and Iteration of Complex Cubic Polynomials . Ann. Inst. Fourier (Grenoble) , 56 : 1337 – 1404 .
  • McMullen , [McMullen and Sullivan 98] C. T. and Sullivan , D. P. 1998 . Quasiconformal Homeomorphisms and Dynamics. III. The Teichmüller Space of a Holomorphic Dynamical System . Adv. Math. , 135 : 351 – 395 .
  • Milnor , [Milnor 09] J. 2009 . “ Cubic Polynomial Maps with Periodic Critical Orbit. I ” . In Complex Dynamics , 333 – 411 . A K Peters .

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