In Surviving the Shark, Jonathan Kathrein describes his incredibleshark attack experience. The book covers all aspects of Kathrein ssurvival, beginning with the eerie moments just before the attack, when something smashes into Kathrein s hand as he paddles onhis board, waiting for a wave off Stinson Beach in northern California. Realizing it is probably shark, and possibly a great white, Kathrein tries to paddle away, furiously trying to make it towardshore, where he sees some of his friends on the beach.
These proceedings represent the current state of research on the topics 'boundary theory' and 'spectral and probability theory' of random walks on infinite graphs. They are the result of the two workshops held in Styria (Graz and St. Kathrein am Offenegg, Austria) between June 29th and July 5th, 2009. Many of the participants joined both meetings. Even though the perspectives range from very different fields of mathematics, they all contribute with important results to the same wonderful topic from structure theory, which, by extending a quotation of Laurent Saloff-Coste, could be described by 'exploration of groups by random processes'.