Conditioned limit theorems of stopped critical branching Bessel processes (Q912492)

A critical branching Bessel process starting at \(r>>1\) is stopped at \(r=1\). If N is the number of descendents at \(r=1\), the norming constant k(r) is given and convergence of N/[k(r)] conditioned on \(N>0\) is given as \(r\to \infty\). The distribution of conditioned limit laws is also given. Probability ideas and analytic techniques for Emden-Fowler's equation are used.