Uniqueness of the infinite noodle

Nicolas Curien; Gady Kozma; Vladas Sidoravicius; Laurent Tournier

doi:10.4171/aihpd/70

JournalsaihpdVol. 6, No. 2pp. 221–238

Uniqueness of the infinite noodle

Nicolas Curien
Université Paris-Sud, Orsay, France
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- zbMATH Open
Gady Kozma
Weizmann Institute of Science, Rehovot, Israel
Vladas Sidoravicius
Courant Institute of Mathematical Sciences, New York, USA and NYU at Shanghai, China
- MathSciNet
- zbMATH Open
Laurent Tournier
Université Paris 13, Sorbonne Paris Cité, France
- MathSciNet
- zbMATH Open

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Abstract

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.

Cite this article

Nicolas Curien, Gady Kozma, Vladas Sidoravicius, Laurent Tournier, Uniqueness of the infinite noodle. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 6 (2019), no. 2, pp. 221–238

DOI 10.4171/AIHPD/70