2 citations · 2 across the 9 of their papers we have counts for
9 papers
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…
Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of
Soonki Hong, Sanghoon Kwon
We study the standard nonuniform arithmetic quotient of the affine Bruhat--Tits building attached to , with Haar measure normalized…
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…
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}(…
Local limit theorem of Brownian motion on metric trees
Soonki Hong
Let be a locally finite tree whose geometric boundary has infinitely many points. Suppose that a non-amenable group $\G$ acts isometrically and geometrically on the t…
Zeta functions of geometrically finite graphs of groups
Soonki Hong, Sanghoon Kwon
In this paper, we explore the properties of zeta functions associated with infinite graphs of groups that arise as quotients of cuspidal tree-lattices, including all non-uniform ar…
Weak Ramanujan property of the standard non-uniform arithmetic quotient of
Soonki Hong, Sanghoon Kwon
Let be a field of formal series over a finite field and be the affine building associated to . Given a lattice in , the complex arising…
Spectrum of weighted adjacency operator on a non-uniform arithmetic quotient of
Soonki Hong, Sanghoon Kwon
We investigate the automorphic spectra of the natural weighted adjacency operator on the complex arising as a quotient of -type building.…
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…