Elements of the random walk: an introduction for advanced students and researchers

Introduction to techniques

Generating functions I

Generating functions II : recurrence, sites visited, and the role of dimensionality

Boundary conditions, steady state, and the electrostatic analogy

Variations on the random walk

The shape of a random walk

Path integrals and self-avoidance

Properties of the random walk : introduction to scaling

Scaling of walks and critical phenomena

Walks and the O(n) model : mean field theory and spin waves

Scaling, fractals, and renormalization

More on the renormalization group.