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- Author: André Kappes
- Publisher: Karlsruher Institut für Technologie
- ISBN-10: 3866447515
- ISBN-13: 9783866447516
- Format: 14.8 x 21 x 0.8 cm, minkšti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
Monodromy representations and Lyapunov exponents of origamis (e-book) (used book) | bookbook.eu
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Origamis are translation surfaces obtained by gluing finitely many unit squares and provide an easy access to Teichmüller curves. In particular, their monodromy represenation can be explicitely determined. A general principle for the decomposition of this represenation is exhibited and applied to examples. Closely connected to it is a dynamical cocycle on the Teichmüller curve. It is shown that its Lyapunov exponents, otherwise inaccessible, can be computed for a subrepresentation of rank two.
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- Author: André Kappes
- Publisher: Karlsruher Institut für Technologie
- ISBN-10: 3866447515
- ISBN-13: 9783866447516
- Format: 14.8 x 21 x 0.8 cm, minkšti viršeliai
- Language: English English
Origamis are translation surfaces obtained by gluing finitely many unit squares and provide an easy access to Teichmüller curves. In particular, their monodromy represenation can be explicitely determined. A general principle for the decomposition of this represenation is exhibited and applied to examples. Closely connected to it is a dynamical cocycle on the Teichmüller curve. It is shown that its Lyapunov exponents, otherwise inaccessible, can be computed for a subrepresentation of rank two.
Reviews