5 papers
Exact renewal laws for minimal common-denominator profiles in simultaneous Laurent-series approximation
Sanghoon Kwon
Let be independent Haar-random fractional Laurent series over , and let be the least coefficient length of a polynomial denominator that sim…
Critical-exponent spectra and rank two inverse realization on biregular trees
Sanghoon Kwon
We study the critical-exponent, or equivalently entropy, spectrum arising from free type-preserving actions on the biregular tree . For an action with a nonem…
-spherical horospherical averages on the Nagao quotient: tree combinatorics and exact discrepancy
Sanghoon Kwon
Let \[ F=\mathbb{F}_q(\!(t^{-1})\!),\qquad G=\mathrm{SL}_2(F),\qquad Î=\mathrm{SL}_2(\mathbb{F}_q[t]),\qquad X=Î\backslash G, \] and let , where $\m…
Special periods and some non-tempered cases of the Gan-Gross-Prasad conjecture
Jaeho Haan, Sanghoon Kwon
In this paper, we establish a relationship between special periods and special L-values of automorphic representations of classical groups, and prove the non-tempered global Gan--G…
The local converse theorem for quasi-split and
Jaeho Haan, Yeansu Kim, Sanghoon Kwon
Let be a non-archimedean local field of characteristic not equal to 2. In this paper, we prove the local converse theorem for quasi-split and $\SO_{2n}(F)$, via th…