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

Author

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  • Louvet, Apolline
  • Véber, Amandine

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.

Suggested Citation

  • Louvet, Apolline & Véber, Amandine, 2024. "Measure-valued growth processes in continuous space and growth properties starting from an infinite interface," Stochastic Processes and their Applications, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:spapps:v:170:y:2024:i:c:s0304414923002636
    DOI: 10.1016/j.spa.2023.104291
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