<div class="csl-bib-body">
<div class="csl-entry">Stufler, B. (2024). First-passage percolation on random simple triangulations. <i>ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS</i>, <i>XXI</i>, 129–178. https://doi.org/10.30757/ALEA.v21-07</div>
</div>
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dc.identifier.issn
1980-0436
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/209857
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dc.description.abstract
We study first-passage percolation on random simple triangulations and their dual maps with independent identically distributed link weights. Our main result shows that the first-passage percolation distance concentrates in an op(n¹/⁴) window around a constant multiple of the graph distance. Our approach follows the proof strategy by Curien and Le Gall (Ann. Sci. Éc. Norm. Supér., 2019), but we have to overcome several obstacles specific to simple triangulations.
en
dc.language.iso
en
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dc.publisher
IMPA
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dc.relation.ispartof
ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS
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dc.subject
First-passage percolation
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dc.subject
Planar Maps
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dc.subject
Triangulations
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dc.title
First-passage percolation on random simple triangulations
