Monodromy representations and Lyapunov exponents of origamis
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Monodromy representations and Lyapunov exponents of origamis

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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.show more

Product details

  • Paperback | 150 pages
  • 148.08 x 210.06 x 8.64mm | 258.55g
  • Karlsruher Institut für Technologie
  • English
  • w. figs.
  • 3866447515
  • 9783866447516