Zobrazeno 1 - 10
of 331
pro vyhledávání: '"Sheffield, Scott"'
Autor:
Cao, Sky, Sheffield, Scott
Fractional Gaussian fields are scalar-valued random functions or generalized functions on an $n$-dimensional manifold $M$, indexed by a parameter $s$. They include white noise ($s = 0$), Brownian motion ($s=1, n=1$), the 2D Gaussian free field ($s =
Externí odkaz:
http://arxiv.org/abs/2406.19321
We study Wilson loop expectations in lattice Yang-Mills models with a compact Lie group $G$. Using tools recently introduced in a companion paper, we provide alternate derivations, interpretations, and generalizations of several recent theorems about
Externí odkaz:
http://arxiv.org/abs/2307.06790
Associated to two given sequences of eigenvalues $\lambda_1 \geq \dots \geq \lambda_n$ and $\mu_1 \geq \dots \geq \mu_n$ is a natural polytope, the polytope of augmented hives with the specified boundary data, which is associated to sums of random He
Externí odkaz:
http://arxiv.org/abs/2306.11514
The Smith embedding of a finite planar map with two marked vertices, possibly with conductances on the edges, is a way of representing the map as a tiling of a finite cylinder by rectangles. In this embedding, each edge of the planar map corresponds
Externí odkaz:
http://arxiv.org/abs/2306.02988
Although lattice Yang-Mills theory on finite subgraphs of $\mathbb Z^d$ is easy to rigorously define, the construction of a satisfactory continuum theory on $\mathbb R^d$ is a major open problem when $d \geq 3$. Such a theory should in some sense ass
Externí odkaz:
http://arxiv.org/abs/2305.02306
In 2000, Cohn, Kenyon and Propp studied uniformly random perfect matchings of large induced subgraphs of $\mathbb Z^2$ (a.k.a. dimer configurations or domino tilings) and developed a large deviation theory for the associated height functions. We esta
Externí odkaz:
http://arxiv.org/abs/2304.08468
Let $\rho$ be compactly supported on $D \subset \mathbb R^2$. Endow $\mathbb R^2$ with the metric $e^{\rho}(dx_1^2 + dx_2^2)$. As $\delta \to 0$ the set of Brownian loops centered in $D$ with length at least $\delta$ has measure $$\frac{\text{area}(D
Externí odkaz:
http://arxiv.org/abs/2302.02358
Autor:
Sheffield, Scott
Given $2n$ unit equilateral triangles, there are finitely many ways to glue each edge to a partner. We obtain a random sphere-homeomorphic surface by sampling uniformly from the gluings that produce a topological sphere. As $n$ tends to infinity, the
Externí odkaz:
http://arxiv.org/abs/2203.02470
Publikováno v:
In Journal of Functional Analysis 1 October 2024 287(7)
Autor:
Narayanan, Hariharan, Sheffield, Scott
Suppose $\alpha, \beta$ are Lipschitz strongly concave functions from $[0, 1]$ to $\mathbb{R}$ and $\gamma$ is a concave function from $[0, 1]$ to $\mathbb{R}$, such that $\alpha(0) = \gamma(0) = 0$, and $\alpha(1) = \beta(0) = 0$ and $\beta(1) = \ga
Externí odkaz:
http://arxiv.org/abs/2111.00421