E104-05 - Forschungsbereich Kombinatorik und Algorithmen
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Zeitschrift:
Journal of Theoretical Probability
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ISSN:
0894-9840
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Datum (veröffentlicht):
2022
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Umfang:
32
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Verlag:
SPRINGER/PLENUM PUBLISHERS
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Peer Reviewed:
Ja
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Keywords:
Fringe distributions; Local convergence; Multi-type Galton–Watson trees
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Abstract:
We prove local convergence results for rerooted conditioned multi-type Galton–Watson trees. The limit objects are multitype variants of the random sin-tree constructed by Aldous (1991), and differ according to which types recur infinitely often along the backwards growing spine.