Proves space-time LSI and hypocoercive hypercontractivity for underdamped Langevin dynamics, giving Rényi divergence decay at rate O(sqrt(rho)) under tuned friction.
Zhang, Jason M
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Space-Time Log-Sobolev Inequality and Hypocoercive Hypercontractivity for Underdamped Langevin Dynamics
Proves space-time LSI and hypocoercive hypercontractivity for underdamped Langevin dynamics, giving Rényi divergence decay at rate O(sqrt(rho)) under tuned friction.