Random Walks Boundaries and Spectra : [contains the joint proceedings of the workshop on Boundaries that took place in Graz from June 29–July 3 and the Alp Workshop that was held immediately afterwards in Sankt Kathrein am Offenegg on the weekend July 4–5 2009] edited by Daniel Lenz Florian Sobieczky Wolfgang Woess 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.