Preface; Picture of Raphael Høegh-Krohn; Bibliography of Raphael Høegh-Krohn; 1. On the scientific work of Raphael Høegh-Krohn; Part I. Stochastic Analysis; 2. Some Euclidean integer-valued random fields with Markov properties; 3. A Beurling–Deny type structure theorem for Dirichlet forms on general state spaces; 4. Log-concavity of radial Schrödinger wave functions and convergence of planetesimal diffusions; 5. Dirichlet forms, diffusion processes and spectral dimensions for nested fractals; 6. Large deviations for weak solutions of stochastic differential equations; 7. On a class of probabilistic integrodifferential equations; 8. Operator integrals and martingale integrals with general parameter; 9. Wick multiplication and Ito–Skorohod stochastic differential equations; 10. Multiscale analysis in random dynamics; 11. A limiting distribution connected with fractional parts of linear forms; 12. Rapport sur les représentations chaotiques; 13. Markov properties of solutions of stochastic partial differential equations in a finite volume; 14. On stochastic evolution equations with non-homogeneous boundary conditions; 15. Grey noise; 16. Existence of invariant measures for diffusion process with infinite dimensional state space; Part II. Infinite Dimensional Groups; 17. On nonlinear equations associated with Lie algebras of diffeomorphism groups of two-dimensional manifolds; 18. Fields of left-invariant standard Brownian motion processes on a smooth bundle of compact-simple Lie groups; 19. Unitary highest weight representations of gauge groups; Part III. Operator Algebras; 20. Some non-commutative orbifolds; 21. Ergodic actions of non-abelian compact groups; 22. Positive projections onto Jordan algebras and their enveloping von Neumann algebras; Part IV. Nonlinear Analysis and Applications; 23. How many singularities can there be in an energy minimizing map from the ball to the sphere? 24. Front tracking for petroleum reservoirs; 25. Quasi-periodic, finite-gap solutions of the modified Korteweg–de Vries equations; 26. A new representation of soliton solutions of the Kadomtsev–Petviashvili equation; 27. On scalar conservation laws in one dimension.