30 citations · 128 across the 25 of their papers we have counts for
5 papers · 1 filter
Directed distances in bipolar-oriented triangulations: exact exponents and scaling limits
Jacopo Borga, Ewain Gwynne
We study longest and shortest directed paths in the following natural model of directed random planar maps: the uniform infinite bipolar-oriented triangulation (UIBOT), which is th…
Permuton and local limits for the Luce model
Jacopo Borga, Sourav Chatterjee, Persi Diaconis
We investigate the asymptotic properties of permutations drawn from the Luce model, a natural probabilistic framework in which permutations are generated sequentially by sampling w…
Surface sums in two-dimensional large- lattice Yang--Mills: Cancellations and explicit computations for general loops
Jacopo Borga, Sky Cao, Jasper Shogren-Knaak
In the context of two-dimensional large- lattice Yang--Mills theory, we perform a refined study of the surface sums defined in the companion work [BCSK24]. In this setting, the…
The longest increasing subsequence of Brownian separable permutons
Arka Adhikari, Jacopo Borga, Thomas Budzinski +2
We establish a scaling limit result for the length of the longest increasing subsequence of a permutation of size sampled from the Brownian sepa…
High-dimensional permutons: theory and applications
Jacopo Borga, Andrew Lin
Permutons, which are probability measures on the unit square with uniform marginals, are the natural scaling limits for sequences of (random) permutations. We introduce…