The strong Malthusian behavior of growth-fragmentation processes

  title={The strong Malthusian behavior of growth-fragmentation processes},
  author={Jean Bertoin and Alexander R. Watson},
  journal={arXiv: Probability},
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 polymerisation. Typically, we may expect that in the long run, the concentrations of cells with given masses increase at some exponential rate, and that, after compensating for this, they arrive at an asymptotic profile. Up to now, this question has mainly been studied for the average behavior of the system, often by means… Expand
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