Geodesic
Limiting distribution of geodesics in a geometrically finite quotients of regular trees
Sanghoon Kwon1 ; Seonhee Lim2
1Catholic Kwandong University, Gangneung, Republic of Korea
2Seoul National University, Republic of Korea
Groups, geometry, and dynamics, Tome 15 (2021) no. 1, pp. 35-55

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DOI

Let T be a (q+1)-regular tree and let Γ be a geometrically finite discrete subgroup of the group Aut(T) of automorphisms of T. In this article, we prove an extreme value theorem on the distribution of geodesics in a non-compact quotient graph Γ\T. Main examples of such graphs are quotients of a Bruhat–Tits tree by non-cocompact discrete subgroups Γ of PGL(2,K) of a local field K of positive characteristic.
DOI : 10.4171/ggd/590
Classification : 37-XX, 60-XX
Mots-clés : Extreme value theory, trees, geodesic flow

Sanghoon Kwon  1   ; Seonhee Lim  2

1 Catholic Kwandong University, Gangneung, Republic of Korea
2 Seoul National University, Republic of Korea 
Sanghoon Kwon; Seonhee Lim. Limiting distribution of geodesics in a geometrically finite quotients of regular trees. Groups, geometry, and dynamics, Tome 15 (2021) no. 1, pp. 35-55. doi: 10.4171/ggd/590
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     pages = {35--55},
     year = {2021},
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     number = {1},
     doi = {10.4171/ggd/590},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/590/}
}
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