52 citations · 116 across the 22 of their papers we have counts for
Showing 2019Show all
2 papers · 1 filter
math.PR2019
Stability of Talagrand's Gaussian transport-entropy inequality via the Föllmer process
Dan Mikulincer
We establish a dimension-free improvement of Talagrand's Gaussian transport-entropy inequality, under the assumption that the measures satisfy a Poincaré inequality. We also study…
cs.IT2019★ 11 cited
Stability of the Shannon-Stam inequality via the Föllmer process
Ronen Eldan, Dan Mikulincer
We prove stability estimates for the Shannon-Stam inequality (also known as the entropy-power inequality) for log-concave random vectors in terms of entropy and transportation dist…