Date | 2023-11-14 |
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Speaker | 이슬비 |

Dept. | 포항 IBS |

Room | 129-104 |

Time | 15:00-16:00 |

In 1982, Dennis Sullivan provided a logarithm law for geodesic flows on finite area non-compact surfaces. Mark Pollicott refined Sullivan's result on the specific case of the Modular surface. This refinement explains the behavior of geodesic excursions to the cusp. He explored an extreme value theorem due to Galambos for the digits of the regular continued fraction and the coding of geodesic flows with the continued fractions. In this survey talk, we will study Pollicott's extreme value theorem and the connection between the geodesic flow and the continued fraction. Then, we will see related results concerning other Fuchsian groups.

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