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arXiv · 2301.13033

Domain of attraction of the fixed points of Branching Brownian motion

Xinxin Chen·Christophe Garban·Atul Shekhar
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Abstract

We give a complete characterisation of the domain of attraction of fixed points of branching Brownian motion (BBM) with critical drift. Prior to this classification, we introduce a suitable metric space of locally finite point measures on which we prove 1) that the BBM with critical drift is a well-defined Markov process and 2) that it satisfies the Feller property. Several applications of this characterisation are given.

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Xinxin Chen, Christophe Garban, Atul Shekhar. 2023-01-30. Domain of attraction of the fixed points of Branching Brownian motion. https://arxiv.org/abs/2301.13033

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