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25 papers
Solving the n-color ice model
Patrick Addona, Ethan Bockenhauer, Ben Brubaker +14
Given an arbitrary choice of two sets of nonzero Boltzmann weights for -color lattice models, we provide explicit algebraic conditions on these Boltzmann weights which guarantee…
Injection of Positrons into a Dense Electron Cloud in a Magnetic Dipole Trap
M. Singer, M. R. Stoneking, E. V. Stenson +7
The creation of an electron space charge in a dipole magnetic trap and the subsequent injection of positrons has been experimentally demonstrated. Positrons (5eV) were magnetically…
Discrete quantitative Helly-type theorems with boxes
Travis Dillon
Research on Helly-type theorems in combinatorial convex geometry has produced volumetric versions of Helly's theorem using witness sets and quantitative extensions of Doignon's the…
Exponential multivalued forbidden configurations
Travis Dillon, Attila Sali
The forbidden number , which denotes the maximum number of unique columns in an -rowed -matrix with no submatrix that is a row and column permutation…
An average of generalized Dedekind sums
Travis Dillon, Stephanie Gaston
We study a generalization of the classical Dedekind sum that incorporates two Dirichlet characters and develop properties that generalize those of the classical Dedekind sum. By ca…
A combinatorial interpretation of Gaussian blur
Travis Dillon
Gaussian blur is a commonly-used method to filter image data. This paper introduces the collapsing sum, a new operator on matrices that provides a combinatorial interpretation of G…