Shizan Fang, Integration by Parts Formula and Logarithmic Sobolev Inequality on the Path Space over Loop Groups, The Annals of Probability, Vol. 27, No. 2 (Apr., 1999), pp. 664-683 ...

SummaryThe authors exhibit two differentiable functions f and g for which the function f gᵣ and fgᵣ are not integrable, so that the integration by parts formula does not apply. Journal Information ...

Stein kernels are a way of measuring distances between probability measures, defined via integration by parts formulas. I will present a connection between these kernels and optimal transport. The ...