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  1. Nov 27, 2024We study a family of Crump-Mode-Jagers branching processes in random environment that explode, i.e. that grow infinitely large in finite time with positive probability. Building on recent work of the author and Iyer, we weaken certain assumptions required to prove that the branching process, at the time of explosion, contains a (unique) individual with an infinite offspring. We then apply ...
  2. In this paper we initiate the theory of Crump-Mode-Jagers branching processes (BP) in the setting where no Malthusian parameter exist, i.e., the process grows faster than exponential. A Crump-Mode-Jagers BP is a branching process (in continuous time) where arbitrary dependencies are allowed between the birth-times of the children of a single individual in the population. It is however assumed ...
    Author:Julia KomjathyPublished:2016
  3. ar5iv.labs.arxiv.org

    A Crump-Mode-Jagers BP is a branching process (in continuous time) where arbitrary dependencies are allowed between the birth-times of the children of a single individual in the population. It is however assumed that these reproduction processes are i.i.d. point processes for different individuals.
  4. ui.adsabs.harvard.edu

    In this paper we initiate the theory of Crump-Mode-Jagers branching processes (BP) in the setting where no Malthusian parameter exist, i.e., the process grows faster than exponential. A Crump-Mode-Jagers BP is a branching process (in continuous time) where arbitrary dependencies are allowed between the birth-times of the children of a single individual in the population. It is however assumed ...
    Author:Julia KomjathyPublished:2016
  5. link.springer.com

    The Crump-Mode-Jagers branching process or also called General Branching Process (GBP) describes a population in which each woman could have random life length and random intervals of time between each birth (see Jagers ). All individuals are assumed to have the same birth and death distributions regardless of the time.
    Author:Plamen TrayanovPublished:2016
  6. semanticscholar.org

    In this paper we initiate the theory of Crump-Mode-Jagers branching processes (BP) in the setting where no Malthusian parameter exist, i.e., the process grows faster than exponential. A Crump-Mode-Jagers BP is a branching process (in continuous time) where arbitrary dependencies are allowed between the birth-times of the children of a single individual in the population.
  7. projecteuclid.org

    We consider a Crump-Mode-Jagers branching process as a random labelling2 of the elements of U 1with elements of [0;1], one considers birth-times. In order to do so, we assume the existence of a complete probability space (; and equip;P) U 1with the sigma algebra generated by singleton sets. We then, assume the existence of a random (measurable ...
  8. We study a family of Crump-Mode-Jagers branching processes in random environment that explode, i.e. that grow infinitely large in finite time with positive probability. Building on recent work of the author and Iyer [ 10 ] , we weaken certain assumptions required to prove that the branching process, at the time of explosion, contains a (unique ...
  9. semanticscholar.org

    We provide sufficient criteria for explosion in Crump-Mode-Jagers branching process, via the process producing an infinite path in finite time. As an application, we deduce a curious phase-transition in the infinite tree associated with a class of recursive tree models with fitness, showing that in one regime every node in the tree has infinite degree, whilst in another, the tree is locally ...

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