Measure-valued growth processes in continuous space and growth properties starting from an infinite interface

Apolline Louvet and Amandine Véber

Stochastic Processes and their Applications, 2024, vol. 170, issue C

Abstract: The k-parent and infinite-parent spatial Lambda-Fleming Viot processes (or SLFV), introduced in Louvet (2023), form a family of stochastic models for spatially expanding populations. These processes are akin to a continuous-space version of the classical Eden growth model (but with local backtracking of the occupied area allowed when k is finite), while being associated with a dual process encoding ancestry.

Keywords: Spatial Lambda–Fleming–viot processes; Stochastic growth process; Duality; Sub-additivity; Growth speed (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spa.2023.104291

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