Sanghoon Kwon

collaborators

4 papers

math.DS2026

Zeta renormalization and pressure at infinity for an infinitely cusped tree lattice

Sanghoon Kwon

We study weighted periodic-orbit zeta functions for an infinitely cusped tree lattice $Y_{q}$ , where $q \geq 2$ is even and the quotient is a one-sided comb. The global Euler product fa…

math.NT2026

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $PGL_{d}$

Soonki Hong, Sanghoon Kwon

We study the standard nonuniform arithmetic quotient of the affine Bruhat--Tits building attached to $PGL_{d} (F_{q} ((t^{- 1})))$ , with Haar measure normalized…

math.NT2026

Chamber zeta function and closed galleries in the standard non-uniform complex from $PGL_{3}$

Soonki Hong, Sanghoon Kwon

We introduce the \emph{chamber zeta function} for a complex of groups, defined via an Euler product over primitive tailless chamber galleries, extending the Ihara--Bass framework f…

math.GR2024

Edge zeta function and closed cycles in the standard non-uniform complex from $PGL_{3}$

Soonki Hong, Sanghoon Kwon

In this paper, we define the edge zeta function of weighted complex. We also present the formula for the edge zeta function of the standard non-uniform complex $\operatorname{PGL}(…

Zeta renormalization and pressure at infinity for an infinitely cusped tree lattice

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of PGLd​

Chamber zeta function and closed galleries in the standard non-uniform complex from PGL3​

Edge zeta function and closed cycles in the standard non-uniform complex from PGL3​

Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $PGL_{d}$

Chamber zeta function and closed galleries in the standard non-uniform complex from $PGL_{3}$

Edge zeta function and closed cycles in the standard non-uniform complex from $PGL_{3}$