Ginzburg-Landau description and emergent supersymmetry of the (3, 8) minimal model
A bstract A pair of the 2D non-unitary minimal models M (2, 5) is known to be equivalent to a
variant of the M (3, 10) minimal model. We discuss the RG flow from this model to another …
variant of the M (3, 10) minimal model. We discuss the RG flow from this model to another …
Percolation transition for random forests in
The arboreal gas is the probability measure on (unrooted spanning) forests of a graph in
which each forest is weighted by a factor β> 0 per edge. It arises as the q→ 0 limit of the q …
which each forest is weighted by a factor β> 0 per edge. It arises as the q→ 0 limit of the q …
Fermionic Gaussian free field structure in the Abelian sandpile model and uniform spanning tree
In this paper we rigorously construct a finite volume representation for the height-one field of
the Abelian sandpile model and the degree field of the uniform spanning tree in terms of the …
the Abelian sandpile model and the degree field of the uniform spanning tree in terms of the …
[HTML][HTML] Improved bounds for the zeros of the chromatic polynomial via Whitney's Broken Circuit Theorem
We prove that for any graph G of maximum degree at most Δ, the zeros of its chromatic
polynomial χ G (x)(in C) lie inside the disc of radius 5.94 Δ centered at 0. This improves on …
polynomial χ G (x)(in C) lie inside the disc of radius 5.94 Δ centered at 0. This improves on …
Uniqueness of the infinite tree in low-dimensional random forests
The arboreal gas is the random (unrooted) spanning forest of a graph in which each forest is
sampled with probability proportional to β# edges for some β≥ 0, which arises as the q→ 0 …
sampled with probability proportional to β# edges for some β≥ 0, which arises as the q→ 0 …
Critical Field Theories with Symmetry
In the paper [L. Fei et al., J. High Energy Phys. 09 (2015) 076 JHEPFG 1029-8479
10.1007/JHEP09 (2015) 076] a cubic field theory of a scalar field σ and two anticommuting …
10.1007/JHEP09 (2015) 076] a cubic field theory of a scalar field σ and two anticommuting …
Uniqueness of the infinite tree in low-dimensional random forests
The arboreal gas is the random (unrooted) spanning forest of a graph in which each forest is
sampled with probability proportional to $\beta^{\#\text {edges}} $ for some $\beta\geq 0 …
sampled with probability proportional to $\beta^{\#\text {edges}} $ for some $\beta\geq 0 …
Correlations in uniform spanning trees: a fermionic approach
In the present paper we establish a clear correspondence between probabilities of certain
edges belonging to a realization of the uniform spanning tree (UST), and the states of a …
edges belonging to a realization of the uniform spanning tree (UST), and the states of a …
Spin systems with hyperbolic symmetry: a survey
Spin systems with hyperbolic symmetry originated as simplified models for the Anderson
metal–insulator transition, and were subsequently found to exactly describe probabilistic …
metal–insulator transition, and were subsequently found to exactly describe probabilistic …
[HTML][HTML] Loop-erased partitioning via parametric spanning trees: Monotonicities & 1D-scaling
We consider a parametric version of the UST (Uniform Spanning Tree) measure on arbitrary
directed weighted finite graphs with tuning (killing) parameter q> 0. This is obtained by …
directed weighted finite graphs with tuning (killing) parameter q> 0. This is obtained by …