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Author

C. Minuesa

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Preprint Sep 2026

Large Deviations for Controlled Branching Processes: Random Slopes, Harmonic Moments, and Transfer Principles

Let \(\{X_n:n\ge0\}\) be a controlled branching process with controls \(\phi_n\), and let \(N_n=\phi_n(X_n)\) be its progenitor count. We study large deviations of \(X_{n+1}/N_n\), \(N_n/X_n\), and \(X_{n+1}/X_n\), on their natural positive-denominator events, in supercritical and critical regimes. We treat generation-...

Miguel González, C. Minuesa, I. D. del Puerto et al. · 0 citations

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