## [14] On the geometry of uniform meandric systems (with Ewain Gwynne and Minjae Park). Communications in Mathematical Physics (2023), https://doi.org/10.1007/s00220-023-04846-y.

A meandric system of size is the set of loops formed from two arc diagrams (non-crossing perfect matchings) on , one drawn above the real line and the other below the real line. A uniform random meandric system can be viewed as a random planar map decorated by a Hamiltonian path (corresponding to the real …