A new quantitative bound for the high-dimensional entropic central limit theorem is derived by extending the Johnson-Barron projection method and applying a Wang-type dimension-free Harnack inequality under the Poincaré inequality assumption.
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Extends MAG to fluids, proposes a splitting particle system yielding a conditional Gibbs principle with an extra fluctuation term, and suggests a quantum force field on the Otto-Wasserstein manifold to recover the exact MAG action.
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Quantitative bounds for high dimensional entropic CLT
A new quantitative bound for the high-dimensional entropic central limit theorem is derived by extending the Johnson-Barron projection method and applying a Wang-type dimension-free Harnack inequality under the Poincaré inequality assumption.
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Monge-Amp\`ere gravitating fluids. Least action principles and particle systems
Extends MAG to fluids, proposes a splitting particle system yielding a conditional Gibbs principle with an extra fluctuation term, and suggests a quantum force field on the Otto-Wasserstein manifold to recover the exact MAG action.