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Historical Lattice Trees

We prove that the rescaled historical processes associated to critical spread-out lattice trees in dimensions [Formula: see text] converge to historical Brownian motion. This is a functional limit theorem for measure-valued processes that encodes the genealogical structure of the underlying random t...

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Detalles Bibliográficos
Autores principales: Cabezas, Manuel, Fribergh, Alexander, Holmes, Mark, Perkins, Edwin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10285026/
https://www.ncbi.nlm.nih.gov/pubmed/37360187
http://dx.doi.org/10.1007/s00220-023-04641-9