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…