Exponential Growth of Bifurcating Processes with Ancestral Dependence

DOI10.1239/aap/1435236987zbMath1318.60088arXiv1307.0343OpenAlexW2964322764MaRDI QIDQ5262453

Sana Louhichi, Bernard Ycart

Publication date: 15 July 2015

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.0343

zbMATH Keywords

branching processescell kineticsbifurcating Markov chainmultiplicative ergodicity

Mathematics Subject Classification ID

Applications of branching processes (60J85) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Cell movement (chemotaxis, etc.) (92C17)

Related Items (5)

Exponential growth of branching processes in a general context of lifetimes and birthtimes dependence ⋮ Multiplicative ergodicity of Laplace transforms for additive functional of Markov chains ⋮ Gärtner-Ellis condition for squared asymptotically stationary Gaussian processes ⋮ Time inhomogeneous mutation models with birth date dependence ⋮ Exponential transform of quadratic functional and multiplicative ergodicity of a Gauss-Markov process

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