Sanghoon Kwon

activity

20152020

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4 papers · 1 filter

math.DS2020

A fundamental domain for $P G L (2, F_{q} [t]) \ P G L (2, F_{q} ((t^{- 1})))$

Sanghoon Kwon

We give a strong fundamental domain for the quotient of $P G L_{2} (F_{q} ((t^{- 1})))$ by $P G L_{2} (F_{q} [t])$ as a subset of distinct ordered…

math.DS2019

Limiting distribution of geodesics in a geometrically finite quotients of regular trees

Sanghoon Kwon, Seonhee Lim

In this article, we prove an extreme value theorem on the limit distribution of geodesics in a geometrically finite quotient of $Γ\ T$ a locally finite tree. Main…

math.DS2018

On the set of critical exponents of discrete groups acting on regular trees

Sanghoon Kwon

We study the set of critical exponents of discrete groups acting on regular trees. We prove that for every real number $δ$ between $0$ and $\frac{1}{2} lo g q$ , there is a discrete…

math.DS2015

Effective Mixing and Counting in Bruhat-Tits Trees

Sanghoon Kwon

Let $T$ be a locally finite tree, $Γ$ be a discrete subgroup of $Aut (T)$ and $F$ be a $Γ$ -invariant potential. Suppose that the length spec…

A fundamental domain for PGL(2,Fq​[t])\PGL(2,Fq​((t−1)))

Limiting distribution of geodesics in a geometrically finite quotients of regular trees

On the set of critical exponents of discrete groups acting on regular trees

Effective Mixing and Counting in Bruhat-Tits Trees

A fundamental domain for $P G L (2, F_{q} [t]) \ P G L (2, F_{q} ((t^{- 1})))$