Some papers on self-avoiding walks:
Universal Properties of Self-Avoiding Walks from Two-Dimensional Field Theory
Mean Area of Self-Avoiding Loops
Continuously Varying Exponents for Oriented Self-Avoiding Walks
Geometrical Properties of Loops and Cluster Boundaries
Critical Exponents near a Random Fractal Boundary
Linking numbers for self-avoiding walks and percolation: application to the spin quantum Hall transition
Exact Scaling Functions for Self-Avoiding Loops and Branched Polymers
Families of Vicious Walkers
Lecture on Branched Polymers and Dimensional Reduction