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Quenched Local Convergence of Boltzmann Planar Maps

Author

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  • Benedikt Stufler

    (Vienna University of Technology)

Abstract

Stephenson (2018) established annealed local convergence of Boltzmann planar maps conditioned to be large. The present work uses results on rerooted multi-type branching trees to prove a quenched version of this limit.

Suggested Citation

  • Benedikt Stufler, 2022. "Quenched Local Convergence of Boltzmann Planar Maps," Journal of Theoretical Probability, Springer, vol. 35(2), pages 1324-1342, June.
    • Handle: RePEc:spr:jotpro:v:35:y:2022:i:2:d:10.1007_s10959-021-01089-2
    DOI: 10.1007/s10959-021-01089-2
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    References listed on IDEAS

    as
    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. Drmota, Michael & Stufler, Benedikt, 2020. "Pattern occurrences in random planar maps," Statistics & Probability Letters, Elsevier, vol. 158(C).
    Full references (including those not matched with items on IDEAS)

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