3 papers
math.NT2026
Chamber zeta function and closed galleries in the standard non-uniform complex from
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
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.DS2019
Martin boundary of Brownian motion on Gromov hyperbolic metric graphs
Soonki Hong, Seonhee Lim
Let be a locally finite complete Gromov hyperbolic metric graph with the geometric boundary consisting of infinitely many points. Suppose that there is a discrete s…