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math.AP2026
The stability of Sharp Poincaré and Brascamp--Lieb inequalities with full monomial weights
Nguyen Lam, Guozhen Lu, Andrey Russanov
It was known that the Gaussian measures with monomial weights satisfy the sharp pointwise curvature-dimension condition , and consequently they allow us to derive th…
math.AP2025
Stability of Gaussian Poincaré inequalities and Heisenberg Uncertainty Principle with monimial weights
Nguyen Lam, Guozhen Lu, Andrey Russanov
We use the Bakry-Émery curvature-dimension criterion and -calculus to establish the Poincaré inequality with monomial Gaussian measure, and then apply the duality approach to st…