The collection splits into two related groups:
- analysis and geometry of geometric operators and their index theory
- elliptic theory of boundary value problems and the Shapiro-Lopatinsky condition
Becoming Water takes the reader on a tour of Canada’s glaciers, describing the stories they tell and educating the reader about how glaciers came to be, how they work and what their future holds in our warming world. By visiting Canada’s high and low Arctic and the mountain West, the reader will learn how varied and complex our glaciers really are, how they are measured and how they figure into the national and global story of inevitable change. The reader will learn to think like a scientist, in particular how to look at climate-related data that contains cycles, trends and shifts, and then ponder what questions to ask in the face of our dramatically changing environment. This book encourages Canadians to explore upstream from ourselves, learning about our origins and how climate change and encroaching human settlement are drastically affecting our glaciers and therefore the natural and human landscapes that lie below—and are dependent upon—them.
A complete treatment of the Feynman-Kac formula is given. The theory is applied to such topics as compactness or trace class properties of differences of Feynman-Kac semigroups, preservation of absolutely continuous and/or essential spectra and completeness of scattering systems.
The unified approach provides a new viewpoint of and a deeper insight into the subject. The book is aimed at advanced students and researchers in mathematical physics and mathematics with an interest in quantum physics, scattering theory, heat equation, operator theory, probability theory and spectral theory.