It is often the case that the set of values over which a B-Tree is constructed has a skewed distribution. We present a geometric growth technique to manage postings records in suc...
We construct CW spheres from the lattices that arise as the closed sets of a convex closure, the meet-distributive lattices. These spheres are nearly polytopal, in the sense that t...
Louis J. Billera, Samuel K. Hsiao, J. Scott Provan
Abstract-- We investigate cascade dynamics in thresholdcontrolled (multiplex) propagation on random geometric networks. We find that such local dynamics can serve as an efficient, ...
Our main result describes how to extend a matroid so that its ground set is a modular hyperplane of the larger matroid. This result yields a new way to view Dowling lattices and ne...
We introduce an (equi-)affine invariant diffusion geometry by which surfaces that go through squeeze and shear transformations can still be properly analyzed. The definition of an...
Daniel Raviv, Alexander M. Bronstein, Michael M. B...