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math.GR2026
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…
math.PR2026
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…
math.DS2026
-spherical horospherical averages on the Nagao quotient: tree combinatorics and exact discrepancy
Sanghoon Kwon
Let be a prime power, , , , and , and let be…
math.NT2026
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…