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Showing 2022 · math.PRShow all
3 papers · 2 filters
math.PR2022★ 1 cited
A Gibbsian random tree with nearest neighbour interaction
Pierre Collet, François Dunlop, Thierry Huillet +1
We revisit the random tree model with nearest-neighbour interaction as described in previous work, enhancing growth. When the underlying free Bienaymé-Galton-Watson (BGW) model is…
math.PR2022
Taylor's Law for some infinitely divisible probabbility distributions from population models
Joel E. Cohen, Thierry E Huillet
In a family of random variables, Taylor's law or Taylor's power law offluctuation scaling is a variance function that gives the variance of a random variable (rv) wit…
math.PR2022★ 4 cited
Ladder costs for random walks in Lévy random media
Alessandra Bianchi, Giampaolo Cristadoro, Gaia Pozzoli
We consider a random walk moving on a Lévy random medium, namely a one-dimensional renewal point process with inter-distances between points that are in the domain of attractio…