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An Introduction to Self-Avoiding Walks

Student-Run Research

Speaker: Matthew Stone
Location: 3106 MSB
Start time: Wed, Feb 4 2026, 12:10PM

Description

A self-avoiding walk (SAW) is a path on a lattice that does not visit the same location twice. This talk will cover some classic results on SAWs, including a proof of the Hammersley-Welsh bound on $\mathbb{Z}^2$ and a proof that the connective constant of $\{0, 1\} \times \mathbb{Z}$ is equal to the golden ratio.