École d'Été de Probabilités de Saint-Flour XV–XVII, 1985–87 [electronic resource] / by Persi Diaconis, David Elworthy, Hans Föllmer, Edward Nelson, George Papanicolaou, Srinivasa R. S. Varadhan ; edited by Paul-Louis Hennequin.

Large deviations and applications -- Applications of non-commutative fourier analysis to probability problems -- Random fields and diffusion processes -- Waves in one-dimensional random media -- Remarks on the point interaction approximation -- Geometric aspects of diffusions on manifolds -- Stochastic mechanics and random fields.

This volume contains detailed, worked-out notes of six main courses given at the Saint-Flour Summer Schools from 1985 to 1987.