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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.NT2026
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…
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…