Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2004.

This book studies regularity properties of Mumford-Shah minimizers. The Mumford-Shah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many interesting questions of analysis and geometric measure theory. The main object under scrutiny is a free boundary K where the minimizer may have jumps. The book presents an extensive description of the known regularity properties of the singular sets K, and the techniques to get them. Some time is spent on the C...

Jake is a Zen master and expert bicycle repairman who fixes flats and teaches meditation out of a shop in Bar Harbor, Maine. Hank is his long-time student. The aging Jake hopes that Hank will take over teaching for him. But the commitment-phobic Hank doesn't feel up to the job, and Jake is beginning to exhibit behavior that looks suspiciously like Alzheimer's disease. Is a guy with as many -issues- as Hank even capable of being a Zen teacher? And are those paradoxical things Jake keeps doing some kind of koan-like wisdom . . . or just dementia?
These and other hard questions confront...