Yotam Svoray

The Algebraicity Problem for Hard-Core Entropy Constants on the Discrete Hypertori

We use tools and techniques from $p$-adic analysis and algebraic number theory to study the algebraicity of the hard square entropy constant and its high dimensional analogues. Specifically, we study arithmetic properties of $a_d(n)$, the number of independent sets in the $d$-dimensional discrete torus, and the associa...