Fundamental achievements during the last three decades by V. Milman, M. Gromov, M. Talagrand on asymptotic geometric analysis and isoperimetry for product measures emphasized central analytic tools and ideas in the investigation of probabilistic models. Simultaneously, the analysis and geometry of Markov operators and new striking developments in optimal transportation extended the range of methods and results to a wide spectrum of mathematics including convex geometry, probability theory, and statistical mechanics. The scope of the workshop is to strengthen these powerful methods towards challenging issues and applications, in particular the KLS conjecture on log-concave measures or super-concentration properties of models from random matrix theory and statistical mechanics. New perspectives motivated by these applications furthermore strongly favor the analysis of discrete models. The workshop will bring together researchers and expertise from a broad spectrum in analysis and probability theory to tackle some of these issues towards fruitful new developments.