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arXiv · 1701.01083

Uniqueness of the infinite noodle

Nicolas Curien·Gady Kozma·Vladas Sidoravicius·Laurent Tournier
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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.

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Nicolas Curien, Gady Kozma, Vladas Sidoravicius, Laurent Tournier. 2017-01-04. Uniqueness of the infinite noodle. https://arxiv.org/abs/1701.01083

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