Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Borga, Jacopo"'
We give a sum over weighted planar surfaces formula for Wilson loop expectations in the large-$N$ limit of strongly coupled lattice Yang-Mills theory, in any dimension. The weights of each surface are simple and expressed in terms of products of sign
Externí odkaz:
http://arxiv.org/abs/2411.11676
Autor:
Borga, Jacopo, Gwynne, Ewain
Permutons constructed from a Liouville quantum gravity surface and a pair of space-filling Schramm-Loewner evolutions (SLEs) have been shown -- or are conjectured -- to describe the scaling limit of various natural models of random constrained permut
Externí odkaz:
http://arxiv.org/abs/2409.15494
We obtain scaling and local limit results for large random Young tableaux of fixed shape $\lambda^0$ via the asymptotic analysis of a determinantal point process due to Gorin and Rahman (2019). More precisely, we prove: (1) an explicit description of
Externí odkaz:
http://arxiv.org/abs/2307.11885
The Brownian separable permutons are a one-parameter family -- indexed by $p\in(0,1)$ -- of universal limits of random constrained permutations. We show that for each $p\in (0,1)$, there are explicit constants $1/2 < \alpha_*(p) \leq \beta^*(p) < 1$
Externí odkaz:
http://arxiv.org/abs/2303.17030
A meandric system of size $n$ is the set of loops formed from two arc diagrams (non-crossing perfect matchings) on $\{1,\dots,2n\}$, one drawn above the real line and the other below the real line. A uniform random meandric system can be viewed as a
Externí odkaz:
http://arxiv.org/abs/2212.00534
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 class includes the skew Brownian permutons introduced by Borga (2021)
Externí odkaz:
http://arxiv.org/abs/2207.02319
We derive a large deviation principle for random permutations induced by probability measures of the unit square, called permutons. These permutations are called $\mu$-random permutations. We also introduce and study a new general class of models of
Externí odkaz:
http://arxiv.org/abs/2206.04660
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 expectation of the Baxter permuton, i.e.\ the density of its intensity measure
Externí odkaz:
http://arxiv.org/abs/2203.12176
Autor:
Borga, Jacopo
We recently introduced a new universal family of permutons, depending on two parameters, called skew Brownian permuton. For some specific choices of the parameters, the skew Brownian permuton coincides with some previously studied permutons: the bias
Externí odkaz:
http://arxiv.org/abs/2112.00159
Autor:
Borga, Jacopo
We construct a new family of random permutons, called skew Brownian permuton, which describes the limits of several models of random constrained permutations. This family is parametrized by two real parameters. For a specific choice of the parameters
Externí odkaz:
http://arxiv.org/abs/2112.00156