4 papers
Holey Hyperbolic Polyforms
Summer Eldridge, Adithya Prabha, Aiden Roger +3
A polyform is a planar figure formed by gluing congruent regular polygons along entire edges. We study polyforms in hyperbolic -tessellations and the extremal problem of min…
A Cellular Representation of the Potts Lattice Higgs Model
Summer Eldridge, Malin P. Forsström, Benjamin Schweinhart
The -dimensional Potts lattice Higgs model is a random assignment of spins in to the -dimensional cells of a cell complex induced by a Hamiltonian with a Potts…
Hadwiger Models: Low-Temperature Behavior in a Natural Extension of the Ising Model
Summer Eldridge, Benjamin Schweinhart
All isometrically invariant Markov (strictly local) fields on binary assignments are induced by energy functions that can be represented as linear combinations of area, perimeter,…
The Paradox of Anti-Inductive Dice
Summer Eldridge, Ivo David de Oliveira, Yogev Shpilman
We identify a new type of paradoxical behavior in dice, where the sum of independent rolls produces a deceptive sequence of dominance relations. We call these ``anti-inductive dice…