2 problems

Let $\mathcal{A}_N$ and $\mathcal{C}_N$ be the final states defined in the model's classification, and write $\mathbb{P}_q$ for probability under parameter $q$. Monotonicity conjec…

Let $q_N=q\in(0,1)$ be constant, let Z_0^{N,\textnormal{\min}}=\lfloor N/2\rfloor, and let $E^N\subset\mathbf{Z}^N_0$. Let $\mathcal{A}_N$ denote the segregation event, and let…