JournalsaihpdVol. 6, No. 2pp. 221–238

Uniqueness of the infinite noodle

  • Nicolas Curien

    Université Paris-Sud, Orsay, France
  • Gady Kozma

    Weizmann Institute of Science, Rehovot, Israel
  • Vladas Sidoravicius

    Courant Institute of Mathematical Sciences, New York, USA and NYU at Shanghai, China
  • Laurent Tournier

    Université Paris 13, Sorbonne Paris Cité, France
Uniqueness of the infinite noodle cover

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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