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- W4300888325 abstract "We prove that critical multitype Galton-Watson trees converge after rescaling to the Brownian continuum random tree, under the hypothesis that the offspring distribution has finite covariance matrices. Our study relies on an ancestral decomposition for marked multitype trees. We then couple the genealogical structure with a spatial motion, whose step distribution may depend on the structure of the tree in a local way, and show that the resulting discrete spatial trees converge once suitably rescaled to the Brownian snake, under some suitable moment assumptions." @default.
- W4300888325 created "2022-10-04" @default.
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- W4300888325 date "2006-10-26" @default.
- W4300888325 modified "2023-10-16" @default.
- W4300888325 title "Invariance principles for spatial multitype Galton-Watson trees" @default.
- W4300888325 doi "https://doi.org/10.48550/arxiv.math/0610807" @default.
- W4300888325 hasPublicationYear "2006" @default.
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