4 problems

Let $\alpha=C/R$, and let $q^{\mathrm{BEC}}_t$ and $q^{\mathrm{BSC}}_t$ be the dynamical systems initialized at $x_0$ by … and … Here $\iota^{\mathrm{BP}}_\ell$ is the soft informa…

Let $q^{\mathrm{BEC}}_\ell(x)$ denote the state after $\ell$ iterations of the BEC dynamical system for a code ensemble generated by a monotone function, initialized at $x$. Unique…

Let $\mathcal{C}$ be an LDPC code, let $\mathcal{D}$ be a decoder diversity set, and let $\mathcal{E}^{[t]}(\Lambda^{(A,B)})$ be the union of the error sets associated with all tra…

Let $t$ denote the discrete decoding time, let $R_{i,j,k}(t)$ be the number of edges connected to IVNs of type $r_{i,j,k}$, and let $\bar{R}_{i,j,k}(t)=E[R_{i,j,k}(t)\mid H_t]$, wh…