Abstract
The main purpose of this work is to study self-similar branching Markov chains. First we construct such a process. Using the theory of self-similar Markov processes, we show a limit theorem concerning a tagged individual. Finally, we get other results in particular a Lp(ℙ) limit theorem on the convergence of the empirical measure associated to the size of the fragment of the branching chain.
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Krell, N. (2009). Self-Similar Branching Markov Chains. In: Donati-Martin, C., Émery, M., Rouault, A., Stricker, C. (eds) Séminaire de Probabilités XLII. Lecture Notes in Mathematics(), vol 1979. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01763-6_10
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DOI: https://doi.org/10.1007/978-3-642-01763-6_10
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