From the 1 of 9 linked papers with an AI index.
9 papers
Open full-metric formation and local marked first-order asymptotic moduli of FIK blowdown singularities
Henry Shin
We prove that the Feldman--Ilmanen--Knopf (FIK) blowdown singularity has a nonempty open nonlinear formation basin in the full space of smooth Riemannian metrics and, on a smaller…
From rough local mass to logarithmic spectral ladders for damped waves
Henry Shin
The paper establishes precise conditions on spatially varying damping that guarantee exponential stability of damped wave equations on a torus product, and it links these condition…
A global girth obstruction for Garg--Mineyev taiko product structures
Henry Shin
Mineyev's taiko construction, in Garg--Mineyev's finite support-size formulation, gives a concrete route from finite support data to zero divisors and units in group rings of torsi…
One extra edge forces Berge pancyclicity
Henry Shin
We resolve a question of Bailey, Hollars, Li and Luo. For all sufficiently large , let . We prove that the edges of any Hamiltonian Berge cycle in a sim…
Exchange identities and symmetric slices of the valley Delta conjecture
Henry Shin
The valley Delta conjecture of Haglund, Remmel and Wilson predicts that the symmetric function equals a generating function over labelled Dyck paths with …
Logarithmic source curves in polynomial fiber products
Henry Shin
Let be a field of characteristic zero and let be nonconstant. We study rational lifts of through that do not arise from a composition . To…