Sanghoon Kwon

collaborators

6 papers

math.SP2026

Eisenstein scattering and Plancherel decomposition on cuspidal Bruhat-Tits quotients

Soonki Hong, Sanghoon Kwon

For arithmetic quotients of Bruhat--Tits trees with finitely many cusps, we establish an explicit unitary correspondence between the spherical Eisenstein transform, with the Eisens…

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}(…

math.DS2024

Transition probability of discrete geodesic flow on the standard non-uniform quotient of $P G L_{3}$

Sanghoon Kwon

We describe the local transition probability of a singular diagonal action on the standard non-uniform quotient of $P G L_{3}$ associated to the type 1 geodesic flow. As a consequence,…

Eisenstein scattering and Plancherel decomposition on cuspidal Bruhat-Tits quotients

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​

Transition probability of discrete geodesic flow on the standard non-uniform quotient of 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 $PGL_{3}$

Transition probability of discrete geodesic flow on the standard non-uniform quotient of $P G L_{3}$