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math.PR2026
Quantitative bounds for high dimensional entropic CLT
Chang-song Deng, Lin Wang, Lihu Xu
By extending the Johnson--Barron projection method from one dimension to high dimensions and utilizing a Wang type dimension-free Harnack inequality, we obtain a new quantitative b…
math.PR2025
Total variation distance between SDEs with stable noise and Brownian motion
Changsong Deng, Xiang Li, Rene L. Schilling +1
We consider a -dimensional stochastic differential equation (SDE) of the form , let be the solution if the driving noise is a -dime…