231 citations
- Institut national de recherche en sciences et technologies du numériqueFR183 papers
- Centre National de la Recherche ScientifiqueFR44 papers
- Université Côte d'AzurFR37 papers
- Laboratoire Jean-Alexandre DieudonnéFR16 papers
- National Research CouncilLK11 papers
- Université Nice Sophia AntipolisFR11 papers
- Institute for Complex SystemsIT10 papers
- Laboratoire d'Informatique, Signaux et Systèmes de Sophia AntipolisFR10 papers
- École PolytechniqueFR8 papers
- MATHNEURO: Mathématiques pour les NeurosciencesFR8 papers
- Mathématiques, Informatique et Statistique pour l'Environnement et l'AgronomieFR7 papers
- Centre for Research and Information on Substance AbuseNG6 papers
Showing 2014 · math.PRShow all
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math.PR2014★ 2 cited
Clarification and complement to "Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons"
Mireille Bossy, Olivier Faugeras, Denis Talay
In this note, we clarify the well-posedness of the limit equations to the mean-field -neuron models proposed in Baladron et al. and we prove the associated propagation of chaos…
math.PR2014
Asymptotic description of stochastic neural networks. I - existence of a Large Deviation Principle
Olivier Faugeras, James MacLaurin
We study the asymptotic law of a network of interacting neurons when the number of neurons becomes infinite. The dynamics of the neurons is described by a set of stochastic differe…
math.PR2014
Efficiently navigating a random Delaunay triangulation
Nicolas Broutin, Olivier Devillers, Ross Hemsley
Planar graph navigation is an important problem with significant implications to both point location in geometric data structures and routing in networks. However, whilst a number…