Starting with the construction of Brownian motion, the book then proceeds to sample path properties like continuity and nowhere differentiability.

Starting with the construction of Brownian motion, the book then proceeds to sample path properties like continuity and nowhere differentiability.

This book is a collection of survey articles covering many of the most recent developments, like Schramm-Loewner evolution, fractal scaling limits, exceptional sets for percolation, and heat kernels on fractals.