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cs.DS2026
A general counting and sampling Lovász local lemma
Vishesh Jain, Clayton Mizgerd, Huy Tuan Pham
Consider a constraint satisfaction problem on finitely many independent random variables with dependency graph . Let be the violation probability of a constra…
cs.IT2026
Entropic independence via sparse localization
Vishesh Jain, Huy Tuan Pham, Thuy-Duong Vuong
Entropic independence is a structural property of measures that underlies modern proofs of functional inequalities, notably (modified) log-Sobolev inequalities, via ``annealing'' o…
math.CO2026
On Graham's rearrangement conjecture
Huy Tuan Pham, Lisa Sauermann
Graham conjectured in 1971 that for any prime , any subset admits an ordering where all partial sums $s_1, s_1+s…