activity
20062023
most citedThree Brouwer fixed point theorems for homeomorphisms of the plane

1 citations · 1 across the 5 of their papers we have counts for

collaborators

6 papers

cs.LO2023

Safety Analysis of Parameterised Networks with Non-Blocking Rendez-Vous

Lucie Guillou, Arnaud Sangnier, Nathalie Sznajder

We consider networks of processes that all execute the same finite-state protocol and communicate via a rendez-vous mechanism. When a process requests a rendez-vous, another proces…

cs.LO2023

Parameterized Broadcast Networks with Registers: from NP to the Frontiers of Decidability

Lucie Guillou, Corto Mascle, Nicolas Waldburger

We consider the parameterized verification of arbitrarily large networks of agents which communicate by broadcasting and receiving messages. In our model, the broadcast topology is…

cs.LO2022

Parameterized Analysis of Reconfigurable Broadcast Networks (Long Version)

A. R. Balasubramanian, Lucie Guillou, Chana Weil-Kennedy

Reconfigurable broadcast networks (RBN) are a model of distributed computation in which agents can broadcast messages to other agents using some underlying communication topology w…

math.DS2012★ 1 cited

Three Brouwer fixed point theorems for homeomorphisms of the plane

Lucien Guillou

We prove three theorems giving fixed points for orientation preserving homeomorphisms of the plane following forgotten results of Brouwer.

math.DS2009

On the struture of homeomorphims of the open annulus

Lucien Guillou

Let be a without fixed point lift to the plane of a homeomorphism of the open annulus isotopic to the identity and without wandering point. We show that admits a -invari…

math.DS2006

Free lines for homeomorphisms of the open annulus

Lucien Guillou

Let H be a homeomorphism of the open annulus isotopic to the identity which admits a lift h to the plane without fixed point. We show that h admits a Brouwer line which is a lift o…