Jochen Blath is a Junior Professor of Applied Stochastics at the Technische Universität Berlin. Peter Mörters is a Professor of Probability at the University of Bath. Michael Scheutzow is a Full Professor at the Technische Universität Berlin.

• Preface; Part I. Foundations and techniques in stochastic analysis: 1. Random variables - without basic space Götz Kersting; 2. Chaining techniques and their application to stochastic flows Michael Scheutzow; 3. Ergodic properties of a class of non-Markovian processes Martin Hairer; 4. Why study multifractal spectra? Peter Mörters; Part II. Construction, simulation, discretisation of stochastic processes: 5, Construction of surface measures for Brownian motion Nadia Sidorova and Olaf Wittich; 6. Sampling conditioned diffusions Martin Hairer, Andrew Stuart and Jochen Voβ; 7. Coding and convex optimization problems Steffen Dereich; Part III. Stochastic analysis in mathematical physics: 8. Intermittency on catalysts Jürgen Gärtner, Frank den Hollander and Grégory Maillard; 9. Stochastic dynamical systems in infinite dimensions Salah-Eldin A. Mohammed; 10. Feynman formulae for evolutionary equations Oleg G.Smolyanov; 11. Deformation quantization in infinite dimensional analysis Rémi Léandre; Part IV. Stochastic analysis in mathematical biology: 12. Measure-valued diffusions, coalescents and genetic inference Matthias Birkner and Jochen Blath; 13. How often does the ratchet click? Facts, heuristics, asymptotics Alison M. Etheridge, Peter Pfaffelhuber and Anton Wakolbinger.