4 problems

Let $T(j,\alpha_t)$ be the moving boundary used by the textsc{StageSampling} procedure, which adaptively samples at a design point and stops when the accumulated statistic satisfie…

Let $p$ be a polynomial of degree $d\geq 2$. Assume that $p(\alpha)=0$, and let $T_{p,1}$ be the corresponding Traub's map. Denote by $\mathcal A^{\star}(\alpha)$ the basin of attr…

Let $f$ be a sufficiently well-behaved function, and consider the root-finding iterations obtained by truncating the Adomian polynomial expansion after terms $a_i$ with $i\leq m$.…

Let $T_n$ be the total number of queries required by the first $n$ tests in the modified probabilistic bisection algorithm (PBA), and let the error be measured by the distance betw…