Coarse Geometry and Randomness École d’Été de Probabilités de Saint-Flour XLI – 2011 /

• Main Author: Benjamini, Itai (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2013.
• Series: Lecture Notes in Mathematics, 2100
• Subjects: Mathematics.; Geometry.; Probabilities.; Graph theory.; Physics.; Statistics.; Continuum mechanics.; Probability Theory and Stochastic Processes.; Mathematical Methods in Physics.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.; Continuum Mechanics and Mechanics of Materials.; Graph Theory.

These lecture notes study the interplay between randomness and geometry of graphs. The first part of the notes reviews several basic geometric concepts, before moving on to examine the manifestation of the underlying geometry in the behavior of random processes, mostly percolation and random walk. T...