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Rerooting Multi-type Branching Trees: The Infinite Spine Case

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  • Benedikt Stufler

    (Vienna University of Technology)

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.

Suggested Citation

  • Benedikt Stufler, 2022. "Rerooting Multi-type Branching Trees: The Infinite Spine Case," Journal of Theoretical Probability, Springer, vol. 35(2), pages 653-684, June.
    • Handle: RePEc:spr:jotpro:v:35:y:2022:i:2:d:10.1007_s10959-020-01069-y
    DOI: 10.1007/s10959-020-01069-y
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    References listed on IDEAS

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    1. Robin Stephenson, 2018. "Local Convergence of Large Critical Multi-type Galton–Watson Trees and Applications to Random Maps," Journal of Theoretical Probability, Springer, vol. 31(1), pages 159-205, March.
    2. Janson, Svante & Riordan, Oliver & Warnke, Lutz, 2018. "Sesqui-type branching processes," Stochastic Processes and their Applications, Elsevier, vol. 128(11), pages 3628-3655.
    3. Romain Abraham & Jean-François Delmas & Hongsong Guo, 2018. "Critical Multi-type Galton–Watson Trees Conditioned to be Large," Journal of Theoretical Probability, Springer, vol. 31(2), pages 757-788, June.
    Full references (including those not matched with items on IDEAS)

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