2 papers
math.PR2026
On Talagrand's Convexity Conjecture
Dongming Merrick Hua, Antoine Song, Stefan Tudose
We prove that any random vector in which is dominated in convex order by a standard Gaussian vector can be written as the sum of three standard Gaussian vectors. Thi…
math.GR2025
Volume Entropy Rigidity for Random Groups at Low Densities
Dongming Hua
We study the rigidity of the volume entropy for weighted word metrics on hyperbolic groups, building on a recent convexity result due to Cantrell-Tanaka. Using ideas from small can…