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math.PR2026
High-Order Talagrand and Eldan--Gross Inequalities via Besov-Type Variance Functionals
Guangyue Han, Peijie Li
By introducing high-order Besov-type variance functionals that generalize the canonical variance, we develop a unified framework for proving high-order Talagrand-type inequalities…
math.PR2017★ 2 cited
Relative entropy convergence under Picard's iteration for stochastic differential equations
Tsz Hin Ng, Guangyue Han
For a family of stochastic differential equations, we investigate the asymptotic behaviors of its corresponding Picard's iteration, establishing convergence results in terms of rel…