A hyperelliptic realization of the horseshoe and baker maps

We present a generalization of the functional equation for the Weierstrassk $\wp$-function for hyperelliptic surfaces of infinite genus arising from iteration of the horseshoe and baker maps. The ramified cover of these infinite genus surfaces over the complex plane are associated to a quadratic dif...

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Veröffentlicht in:	Ergodic theory and dynamical systems 2006-12, Vol.26 (6), p.1749-1768
Hauptverfasser:	CHAMANARA, R., GARDINER, F. P., LAKIC, N.
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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