Publication: Reinforced Galton–Watson processes I: Malthusian exponents
Reinforced Galton–Watson processes I: Malthusian exponents
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Bertoin, J., & Mallein, B. (2024). Reinforced Galton–Watson processes I: Malthusian exponents. Random Structures & Algorithms, 65(2), 387–410. https://doi.org/10.1002/rsa.21219
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In a reinforced Galton–Watson process with reproduction law and memory parameter , the number of children of a typical individual either, with probability , repeats that of one of its forebears picked uniformly at random, or, with complementary probability , is given by an independent sample from . We estimate the average size of the population at a large generation, and in particular, we determine explicitly the Malthusian growth rate in terms of and . Our approach via the analysis of transport equations owes much to works by Flajo
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- Bertoin, Jean
- Mallein, Bastien
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Bertoin, J., & Mallein, B. (2024). Reinforced Galton–Watson processes I: Malthusian exponents. Random Structures & Algorithms, 65(2), 387–410. https://doi.org/10.1002/rsa.21219
