This volume presents self-contained survey articles on modern research areas written by experts in their fields. The topics are located at the interface of spectral theory, theory of partial differential operators, stochastic analysis, and mathematical physics. The articles are accessible to graduate students and researches from other fields of mathematics or physics while also being of value to experts, as they report on the state of the art in the respective fields.

Interdisciplinary reviews on the border between analysis, probability theory, and mathematical physics Survey articles accessible to non specialists, for a wide audience in mathematics and mathematical physics State-of-the-art reports on several modern branches of mathematics ? Includes supplementary material: sn.pub/extras