Ruelle Zeta Function at Zero for Surfaces

نویسندگان

  • SEMYON DYATLOV
  • Yuya Takeuchi
  • MACIEJ ZWORSKI
چکیده

We show that the Ruelle zeta function for a negatively curved oriented surface vanishes at zero to the order given by the absolute value of the Euler characteristic. This result was previously known only in constant curvature.

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تاریخ انتشار 2017