30 citations · 128 across the 25 of their papers we have counts for
4 papers · 1 filter
On the geometry of uniform meandric systems
Jacopo Borga, Ewain Gwynne, Minjae Park
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 bel…
Permutons, meanders, and SLE-decorated Liouville quantum gravity
Jacopo Borga, Ewain Gwynne, Xin Sun
We study a class of random permutons which can be constructed from a pair of space-filling Schramm-Loewner evolution (SLE) curves on a Liouville quantum gravity (LQG) surface. This…
Large deviation principle for random permutations
Jacopo Borga, Sayan Das, Sumit Mukherjee +1
We derive a large deviation principle for random permutations induced by probability measures of the unit square, called permutons. These permutations are called -random permuta…
Baxter permuton and Liouville quantum gravity
Jacopo Borga, Nina Holden, Xin Sun +1
The Baxter permuton is a random probability measure on the unit square which describes the scaling limit of uniform Baxter permutations. We find an explict formula for the expectat…