This volume is a collection of lecture notes for six of the ten courses given in Buzios, Brazil by prominent probabilists at the 2010 Clay Mathematics Institute Summer School, "Probability and Statistical Physics in Two and More Dimensions" and at the XIV Brazilian School of Probability. In the past ten to fifteen years, various areas of probability theory related to statistical physics, disordered systems and combinatorics have undergone intensive development. A number of these developments deal with two-dimensional random structures at their critical points, and provide new tools and ways...

The Shock of America is based on the proposition that whenever Europeans of the last 100 years or more contemplated those margins of their experience where change occurred, there, sooner or later, they would find America. How Europeans have come to terms over the decades with this dynamic force in their midst, and what these terms were, is the story at the heart of this text. Masses of Europeans have been enthralled by the real or imaginary prospects coming out of the USA. Important minorities were at times deeply upset by them. Sometime the roles were reversed or shaken up. But...

Resolution of Singularities has long been considered as being a difficult to access area of mathematics. The more systematic and simpler proofs that have appeared in the last few years in zero characteristic now give us a much better understanding of singularities. They reveal the aesthetics of both the logical structure of the proof and the various methods used in it. The present volume is intended for readers who are not yet experts but always wondered about the intricacies of resolution. As such, it provides a gentle and quite comprehensive introduction to this amazing field. The book may...