Publications by Luc Guyot | EPFL Graph Search

The multivariate Serre conjecture ring

It is well-known that for any integral domain R, the Serre conjecture ring R(X), i.e., the localization of the univariate polynomial ring R[X] at monic polynomials, is a Bezout domain of Krull dimension

Academic Press Inc Elsevier Science2023

Generators of split extensions of Abelian groups by cyclic groups

Luc Guyot

2018

On Andrews-Curtis conjectures for soluble groups

Luc Guyot

2018

On quotients of generalized Euclidean group rings

Luc Guyot

2018

Connecting Artificial Brains to Robots in a Comprehensive Simulation Framework: The Neurorobotics Platform

Daniel Peppicelli, Marc-Oliver Gewaltig, Luc Guyot, Egidio Falotico, Lorenzo Vannucci, Axel von Arnim, Paul Levi, Georg Hinkel, Stefan Ulbrich, Eduardo Ros

Combined efforts in the fields of neuroscience, computer science, and biology allowed to design biologically realistic models of the brain based on spiking neural networks. For a proper validation of these models, an embodiment in a dynamic and rich sensor ...

2017

On finitely generated modules over quasi-Euclidean rings

Luc Guyot

Let R be a unital commutative ring, and let M be an R-module that is generated by k elements but not less. Let be the subgroup of generated by the elementary matrices. In this paper we study the action of by matrix multiplication on the set of unimodular r ...

Springer Verlag2017

Rich periodic motor skills on humanoid robots: Riding the pedal racer

Auke Ijspeert, Massimo Vespignani, Jesse van den Kieboom, Luc Guyot

Just as their discrete counterparts, periodic or rhythmic dynamic motion primitives allow easily modulated and robust motion generation, but for periodic tasks. In this paper we present an approach for modulating periodic dynamic movement primitives based ...

IEEE2014

Infinite Presentability Of Groups And Condensation

Luc Guyot

We describe various classes of infinitely presented groups that are condensation points in the space of marked groups. A well-known class of such groups consists of finitely generated groups admitting an infinite minimal presentation. We introduce here a l ...

Cambridge University Press2014

Limits Of Metabelian Groups

Luc Guyot

We describe the two-generated limits of abelian-by-(infinite cyclic) groups in the space of marked groups using number theoretic methods. We also discuss universal equivalence of these limits. ...

2012