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 |
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| container_title | Ergodic theory and dynamical systems |
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| creator | CHAMANARA, R. GARDINER, F. P. LAKIC, N. |
| description | 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 differential of finite norm with simple poles accumulating to infinity. We study the geometry of its critical trajectories emanating from these poles and their rate of accumulation. |
| doi_str_mv | 10.1017/S0143385706000484 |
| format | Article |
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| issn | 0143-3857 1469-4417 |
| language | eng |
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| source | Cambridge University Press Journals Complete |
| title | A hyperelliptic realization of the horseshoe and baker maps |
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