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A NEW PROOF OF THE REALISATION OF CUBIC TABLEAUX

Published online by Cambridge University Press:  25 January 2013

FEI YANG  and
YONGCHENG YIN
FEI YANG*
Affiliation:
School of Mathematical Sciences, Fudan University, Shanghai, 200433, PR China
YONGCHENG YIN
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou, 310027, PR China email [email protected]
*
✉[email protected]
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Abstract

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By means of the dynamics on trees introduced by Emerson, DeMarco and McMullen, we give a new proof of the realisation of cubic tableaux.

Keywords

tableauxdynamics on treesrealisation
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 87 , Issue 2 , April 2013 , pp. 207 - 215
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc.

References

Branner, B. and Hubbard, J., ‘The iteration of cubic polynomials, part I: the global topology of parameter space’, Acta Math. 160 (1988), 143–206.CrossRefGoogle Scholar
Branner, B. and Hubbard, J., ‘The iteration of cubic polynomials, part II: patterns and parapatterns’, Acta Math. 169 (1992), 229–325.CrossRefGoogle Scholar
DeMarco, L. and McMullen, C., ‘Trees and dynamics of polynomials’, Ann. Sci. Éc. Norm. Supér. 41 (2008), 337–383.CrossRefGoogle Scholar
DeMarco, L. and Schiff, A., ‘Enumerating the basins of infinity of cubic polynomials’, J. Difference Equ. Appl. 16 (2010), 451–461.CrossRefGoogle Scholar
Emerson, N., ‘Dynamics of polynomials with disconnected Julia sets’, Discrete Contin. Dyn. Syst. 9 (2003), 801–834.CrossRefGoogle Scholar
Harris, D., ‘Turning curves for critically recurrent cubic polynomials’, Nonlinearity 12 (1999), 411–418.CrossRefGoogle Scholar
Kiwi, J., ‘Puiseux series polynomial dynamics and iteration of complex cubic polynomials’, Ann. Inst. Fourier 56 (2006), 1337–1404.CrossRefGoogle Scholar
Milnor, J., Dynamics in One Complex Variable, 3rd edn., Annals of Mathematics Studies, 160 (Princeton University Press, Princeton, NJ, 2006).Google Scholar