Self-Stabilizing Leader Election in Population Protocols
University Paris-South 11 and LRI – Laboratoire de Recherche en Informatique, Orsay, France –
We consider the fundamental problem of self-stabilizing
leader election (SSLE) in the model of population protocols. In this
model, an unknown number of asynchronous, anonymous and finite state
mobile agents interact in pairs over a given communication graph. SSLE
has been shown to be impossible in the original model. This impossibility
can been circumvented by a modular technique augmenting the system
with an oracle – an external module abstracting the added assumption
about the system. Fischer and Jiang have proposed solutions to SSLE,
for complete communication graphs and rings, using an oracle Ω?, called
the eventual leader detector. In this work, we present a solution for arbitrary
graphs, using a composition of two copies of Ω?. We also prove
that the difficulty comes from the requirement of self-stabilization, by
giving a solution without oracle for arbitrary graphs, when an uniform
initialization is allowed.
Date: 2014-Jan-28 Time: 14:00:00 Room: 336
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Workshop “Metabolism and mathematical models: Two for a tango” – 2nd Edition
Title: Workshop Metabolism and mathematical models: Two for a tango – 2nd Edition
Dates: October 25-26, 2022
Location: This workshop will be held in a virtual way
The topic of this workshop is metabolism in general, with a special focus, although not exclusive, on parasitology. Besides an exploration of the biological, biochemical and biomedical aspects, the workshop will also aim at presenting some of the mathematical modelling, algorithmic theory and software development that have become crucial to explore such aspects.
This workshop is being organised in the context of two projects, both with the Inria European Team Erable. One of the projects involves a partnership with the University of São Paulo (USP), in São Paulo, Brazil, more specifically the Institute of Mathematics and Statistics (IME) and the Institute of Biomedical Sciences – Inria Associated Team Capoeira – and the other involves the Inesc-ID/IST in Portugal, ETH in Zürich and EMBL in Heidelberg – H2020 Twinning Project Olissipo.
The workshop is open to all members of these two projects but also, importantly, to the community in general.
The program and more details are available here.