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math.PR2026
Large Deviations for Controlled Branching Processes: Random Slopes, Harmonic Moments, and Transfer Principles
Miguel González, Carmen Minuesa, Inés del Puerto +1
Let \(\{X_n:n\ge0\}\) be a controlled branching process with controls \(ϕ_n\), and let \(N_n=ϕ_n(X_n)\) be its progenitor count. We study large deviations of \(X_{n+1}/N_n\), \(N_n…
math.PR2021★ 2 cited
Diffusion approximation of controlled branching processes using limit theorems for random step processes
González, M., Martín-Chávez +3
A controlled branching process (CBP) is a modification of the standard Bienaymé-Galton-Watson process in which the number of progenitors in each generation is determined by a rando…