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math.PR2019
On conditioning a self-similar growth-fragmentation by its intrinsic area
Jean Bertoin, Nicolas Curien, Igor Kortchemski
The genealogical structure of self-similar growth-fragmentations can be described in terms of a branching random walk. The so-called intrinsic area arises in this sett…
math.PR2019★ 5 cited
A version of Herbert A. Simon's model with slowly fading memory and its connections to branching processes
Jean Bertoin
Construct recursively a long string of words w1. .. wn, such that at each step k, w k+1 is a new word with a fixed probability p (0, 1), and repeats some preceding word with…
math.PR2019
The strong Malthusian behavior of growth-fragmentation processes
Jean Bertoin, Alexander Watson
Growth-fragmentation processes describe the evolution of systems of cells which grow continuously and fragment suddenly; they are used in models of cell division and protein polyme…