We describe an algorithm to compute the geodesics in an arbitrary CAT(0) cubical complex. A key tool is a correspondence between cubical complexes of global non-positive curvature ...
In this paper, we develop new methods for the analysis of decentralized control systems and we apply them to formation control problems. The basic set-up consists of a system with...
Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers’ route choices are influenced by information at multiple temporal and spat...
Rauzy fractals are compact sets with fractal boundary that can be associated with any unimodular Pisot irreducible substitution. These fractals can be defined as the Hausdorff l...
A model for statistical ranking is a family of probability distributions whose states are orderings of a xed nite set of items. We represent the orderings as maximal chains in a ...
This paper introduces a new method for proving global stability of fluid flows through the construction of Lyapunov functionals. For finite dimensional approximations of fluid...
We define a double pseudoline as a simple closed curve in the open M¨obius band homotopic to the double of its core circle, and we define an arrangement of double pseudolines a...