We show the equivalence of the definitions of very strict CD(K,N) -condition defined, on one hand, using (only) the entropy functionals, and on the other, the full displacement convexity class DCN. In particular, we show ...
The objective of this paper is to develop a conceptual framework for measuring the effectiveness of social media marketing communications. Specifically, we study whether the existing marketing communications performance ...
The number of goods and services (such as accommodation or music streaming)
offered by e-commerce websites does not allow users to examine all the available options in a reasonable amount of time. Recommender systems are ...
We study the existence of tangent lines, i.e. subsets of the tangent space isometric to the real line,
in tangent spaces of metric spaces. We rst revisit the almost everywhere metric di erentiability of Lipschitz
continuous ...
The tensorization problem for Sobolev spaces asks for a characterization of how the Sobolev space on a product metric measure space X Y can be determined from its factors. We show that two natural descriptions of the Sobolev ...
