327 citations
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5 papers · 1 filter
A solution space for a system of null-state partial differential equations 1
Steven M. Flores, Peter Kleban
In this first of four articles, we study a homogeneous system of linear partial differential equations (PDEs) in variables that arises in conformal field theory (CFT) a…
Three-Dimensional Filamentation Analysis of SDSS DR5 Survey
Yongfeng Wu, David J. Batuski, Andre Khalil
We introduce a new method to calculate the multi-scale 3D filamentation of SDSS DR5 galaxy clusters and also applied it to N-body simulations. We compared the filamentation of the…
An infinite series for the natural logarithm that converges throughout its domain and makes concavity transparent
David M. Bradley
The natural logarithm can be represented by an infinite series that converges for all positive real values of the variable, and which makes concavity patently obvious. Concavity of…
Averages of twisted L-functions
Julia Jackson, Andrew Knightly
We use a relative trace formula on GL(2) to compute a sum of twisted modular L-functions anywhere in the critical strip, weighted by a Fourier coefficient and a Hecke eigenvalue. W…
Cluster pinch-point densities in polygons
Steven M. Flores, Peter Kleban, Robert M. Ziff
In a statistical cluster or loop model such as percolation, or more generally the Potts models or O(n) models, a pinch point is a single bulk point where several distinct clusters…