5 problems

Let $\Omega_1$ be the space of decreasing nonnegative sequences with sum $1$, and let $\widehat{\mu}_1$ denote the Poisson-Dirichlet distribution on $\Omega_1$ with parameter…

Let ${\mathcal A}$ be the class of probability measures appearing in Theorem, let $\mu$ be an invariant probability measure, and let the theorem's part b) assert uniqueness under t…

Consider the discrete coagulation-fragmentation equation with multiplicative coagulation and constant fragmentation kernels, with initial data $\rho_0$ satisfying the paper's initi…

Consider the discrete coagulation-fragmentation equation with multiplicative coagulation and constant fragmentation kernels, and let $\rho_0$ be initial data satisfying the paper's…

Let $\operatorname{R}(W_{\phi})$ and $\operatorname{N}(W_{\phi})$ denote the range and null space of the operator $W_{\phi}$ on $L^1([0,L])$, and let…