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math.AP2025
Sharp stability of the Heisenberg Uncertainty Principle: Second-Order and Curl-Free Field Cases
Anh Xuan Do, Nguyen Lam, Guozhen Lu
Using techniques from harmonic analysis, we derive several sharp stability estimates for the second order Heisenberg Uncertainty Principle. We also present the explicit lower and u…
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…