Quenched Local Convergence of Boltzmann Planar Maps

Stufler, Benedikt

doi:10.1007/s10959-021-01089-2

Record link:

http://hdl.handle.net/20.500.12708/142262

Title:

Quenched Local Convergence of Boltzmann Planar Maps

Citation:

Stufler, B. (2022). Quenched Local Convergence of Boltzmann Planar Maps. Journal of Theoretical Probability, 35(2), 1324–1342. https://doi.org/10.1007/s10959-021-01089-2

Publisher DOI:

10.1007/s10959-021-01089-2

CatalogPlus:

AC17202328

Publication Type:

Article - Original Research Article

Language:

English

Authors:

Stufler, Benedikt

Organisational Unit:

E104-05 - Forschungsbereich Kombinatorik und Algorithmen

Journal:

Journal of Theoretical Probability

ISSN:

0894-9840

Date (published):

Jun-2022

Number of Pages:

Publisher:

SPRINGER/PLENUM PUBLISHERS

Peer reviewed:

Yes

Keywords:

Boltzmann planar maps; Local convergence; Multi-type Galton–Watson trees

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.

Research Areas:

Mathematical and Algorithmic Foundations: 100%

Science Branch:

1010 - Mathematik: 100%

License:

CC BY 4.0