3 papers
cond-mat.dis-nn2018
Jamming in Perspective
Varda F. Hagh, Eric I. Corwin, Kenneth Stephenson +1
Jamming occurs when objects like grains are packed tightly together (e.g. grain silos). It is highly cooperative and can lead to phenomena like earthquakes, traffic jams, etc. In t…
math.DS2017
Shape Convergence for Aggregate Tiles in Conformal Tilings
Richard Kenyon, Kenneth Stephenson
Given a substitution tiling of the plane with subdivision operator , we study the conformal tilings associated with . We prove that aggregate tiles wi…
math.GT2016
Circle Packings with Generalized Branching
James Ashe, Edward Crane, Kenneth Stephenson
Attempts to build a discrete theory for rational maps on the sphere via circle packing have foundered on discretization effects in locating branch points. The authors remove this i…