4 problems

Let $\theta^*(\alpha)\in(0,1)$ denote the asymptotically deterministic escape speed of the discrete-time weakly self-avoiding walk on $\mathbb{Z}$ with repelling strength parameter…

Let $c_n^{\mathbb{T}}$ be the $n$-step weakly self-avoiding-walk count on the torus, let $\mu$ be the growth constant on $\mathbb{Z}^d$, and let $V$ be the number of vertices in th…

Let $V$ be the number of vertices in a $d$-dimensional torus, let $z_c$ be the critical point, and let $L$ denote the length under the variable-length weakly self-avoiding-walk mea…

For $d\geq 3$, let $f^{\mathrm{wsaw}}(u)$ be the weakly self-avoiding walk free energy and let $\lambda_d$ be the constant defined from the simple random walk Green function. Weakl…