4 problems

Let $\tau$ be an integer-valued random variable in the domain of attraction of a $\gamma'$-stable distribution with $1<\gamma'<\gamma$, and let the offspring measure be…

Let Assumption A hold for the Crump–Mode–Jagers forest, and let $\mathbb H_p$ and $\mathbb C_p$ denote its rescaled height and contour processes. Suppose the processes converge joi…

Let $X_{n,k}$ be the fluctuation variable, let $\widetilde\Xi(\gamma_i)$ denote the limiting random quantity associated with a root $\gamma_i$, and let $\Gamma_*$ be the set of rel…

Let $X_{n,k}$ denote the fluctuation variable and let $Z_n$ denote the population size at generation $n$. Suppose that the corresponding limit variable $\zeta_k$ in Theorem 2 is de…