Wang, Ling-Di; Zhang, Yu-Hui - In: Statistics & Probability Letters 83 (2013) 9, pp. 1973-1982
This paper investigates the birth–death (“B–D” for short) process on trees, emphasizing on estimating the principal eigenvalue (equivalently, the convergence rate) of the process with Dirichlet boundary at the unique root 0. Three kinds of variational formulas for the eigenvalue are...