Geodesic
Uniqueness of the infinite noodle
Annales de l’Institut Henri Poincaré D, Tome 6 (2019) no. 2, pp. 221-238

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Consider the graph obtained by superposition of an independent pair of uniform infinite non-crossing perfect matchings of the set of integers. We prove that this graph contains at most one infinite path. Several motivations are discussed.

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Publié le :
DOI : 10.4171/aihpd/70
Classification : 60-XX, 05-XX
Keywords: Infinite cluster, random matching 
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     title = {Uniqueness of the infinite noodle},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {221--238},
     volume = {6},
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     year = {2019},
     doi = {10.4171/aihpd/70},
     mrnumber = {3950654},
     zbl = {1478.60256},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/aihpd/70/}
}
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Curien, Nicolas; Kozma, Gady; Sidoravicius, Vladas; Tournier, Laurent. Uniqueness of the infinite noodle. Annales de l’Institut Henri Poincaré D, Tome 6 (2019) no. 2, pp. 221-238. doi: 10.4171/aihpd/70

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