5 problems

Let $(E,\top)$ be a locality vector space, and let $V$ and $W$ be locality vector subspaces of $E$. The locality tensor product $V\otimes_\top W$ is equipped with the quotient loca…

Consider fermionic cellular automata whose local algebras have larger dimension than those in the one-dimensional spinless model studied in the paper. Higher-dimensional local-alge…

Let an FDFC on $\mathbb Z$ have a renormalisation of the form $(N,\Pi_{\Lambda_0})$, where $N$ is even. A Majorana-shift renormalisation is a renormalisation to a Majorana shift. M…

Let $Z^{\beta_N}_N(0)$ denote the point-to-plane partition function of the directed polymer at the critical intermediate-disorder scale, and let $N$ tend to infinity. Critical one-…

The analysis concerns renormalising cellular automata on $\mathbb Z^s$ through a Kadanoff-like coarse-graining procedure. In the special case $s=1$ with qubit cells, the coarse-gra…