We degenerate Cox–Nagata rings to toric algebras by means of sagbi bases induced by
configurations over the rational function field. For del Pezzo surfaces, this degeneration implies …

We study maximum likelihood estimation for the statistical model for both directed and undirected
random graph models in which the degree sequences are minimal sufficient statistics. …

In symbolic computation, polynomial multiplication is a fundamental operation akin to matrix
multiplication in numerical computation. We present efficient implementation strategies for …

Pour qu'un robot autonome puisse interagir proprement avec son milieu, ce dernier doit
connaitre d'une part l'environnement dans lequel il évolue et d'autre part son état dans cet …

This paper addresses the problem of planning paths for a vehicle that are guaranteed to be
safe in the presence of bounded uncertainty on the model of the vehicle, its sensors, and on …

The subject of Discrete Geometry and Convex Polytopes has received much attention in recent
decades, with an explosion of the work in the field. This book is an introduction, covering …

This paper introduces a formal definition and a categorization of Deadlock and Livelock
behaviors for a general class of deterministic Hybrid Control Systems (HCS), thus extending the …

This paper presents a technique to estimate the states of biological systems that cannot be
directly measured, by using available measurements of other states that affect them. More …

The present paper is the first in a series of four dealing with a mapping, introduced by the
present authors, from orientations to spanning trees, from regions to simplices in real …

We define a special class of hybrid automata, called Deterministic and Transversal Linear
Hybrid Automata (DTLHA), whose continuous dynamics in each location are linear time-…