Date | Apr 13, 2018 |
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Speaker | 권상훈 |

Dept. | 카톨릭관동대학교 |

Room | 27-220 |

Time | 15:00-17:00 |

Abstract. We study the set of critical exponents of discrete groups acting on regular trees. We prove that for every real number delta between 0 and 1/2 log q, there is a discrete subgroup Gamma acting on a(q+1)-regular tree whose critical exponent is equal to delta .

We explicitly construct an edge-indexed graph whose nite grouping has critical exponent delta . Moreover, we investigate the critical exponents of Schottky free discrete groups of rank 2 and give minimal polynomials of some examples.

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