3 problems

Let $\nu$ be a probability measure on $\mathbb R$ with finite mean $m<\infty$, and let $Q_\nu$ be the stationary renewal process on $\mathbb R$ with renewal distribution $\nu$. A w…

Let $(\Omega,\mathbb P)$ be the probability space of initial configurations, and let $\Psi_t^{(L)}(N)$ denote the evolution at time $t$ in the finite-volume system of size $L$. Str…

Let $G$ be the graph underlying the dynamics, let $\theta\in(0,1)$ denote the initial probability of a $+1$ spin, and write $\theta_{\ast}\in(0,1)$ for a possible bias threshold. F…