activity
20062018
most citedPercolation Crossing Formulas and Conformal Field Theory

40 citations · 191 across the 16 of their papers we have counts for

collaborators

16 papers

cond-mat.stat-mech2018★ 4 cited

Color-dependent interactions in the three coloring model

Philipp C. Verpoort, Jacob Simmons, Claudio Castelnovo

Since it was first discussed by Baxter in 1970, the three coloring model has been studied in several contexts, from frustrated magnetism to superconducting devices and glassiness.…

cond-mat.stat-mech2016★ 21 cited

A formula for crossing probabilities of critical systems inside polygons

Steven M. Flores, Jacob J. H. Simmons, Peter Kleban +1

In this article, we generalize known formulas for crossing probabilities. Prior crossing results date back to J. Cardy's prediction of a formula for the probability that a percolat…

math-ph2015★ 4 cited

Multiple-SLE connectivity weights for rectangles, hexagons, and octagons

Steven M. Flores, Jacob J. H. Simmons, Peter Kleban

In a previous article, we define "connectivity weights" to be functions with these two properties: 1) They solve the three conformal Ward identities of conformal field theory (CFT)…

cond-mat.stat-mech2014★ 4 cited

Percolation crossing probabilities in hexagons: a numerical study

Steven M. Flores, Robert M. Ziff, Jacob J. H. Simmons

In a recent article, one of the authors used logarithmic conformal field theory to predict crossing-probability formulas for percolation clusters inside a hexagon with free b…

cond-mat.stat-mech2013★ 9 cited

Logarithmic operator intervals in the boundary theory of critical percolation

Jacob J H Simmons

We consider the sub-sector of the logarithmic conformal field theory (LCFT) generated by the boundary condition changing (bcc) operator in two dimensional critical percolatio…

math-ph2011★ 5 cited

Cluster densities at 2-D critical points in rectangular geometries

Jacob J. H. Simmons, Peter Kleban, Steven M. Flores +1

Making use of a recent complete calculation of a chiral six-point correlation function C(z) in a rectangle we calculate various quantities of interest for percolation (SLE paramete…