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  • Communication Efficiency in Self-stabilizing Silent Protocols

    Devismes , Stéphane; Masuzawa , Toshimitsu; Tixeuil , Sébastien (2008)
    Self-stabilization is a general paradigm to provide forward recovery capabilities to distributed systems and networks. Intuitively, a protocol is self-stabilizing if it is able to recover without external intervention from any catastrophic transient failure. In this paper, our focus is to lower the communication complexity of self-stabilizing protocols \emph{below} the need of checking every neighbor forever. In more details, the contribution of the paper is threefold: (i) We provide new comp...

    A mathematical model of the cell cycle and its control

    Clairambault , Jean; Laroche , Béatrice; Mischler , Stéphane; Perthame , Benoît (2003)
    Projet SOSSO; We consider mathematical models for the cell cycle, i.e. the sequence of events that leads to mitosis, at the level of a population of cells. These are structured population Partial Differential Equations that describe the evolution of the population along each phase of the cycle and the transition to the next phase. These models allow several types of controls such as therapeutic control in case of cancer therapy (some chemotherapies are known to act on specific phases of the c...

    Horloges atomiques et applications

    Bize , Sebastien (2011)

    Modélisation micromécanique du comportement d'un sol injecté

    Vu , Quoc Huy (2008)
    This thesis focuses on the study of micromechanical behavior of a fine cemented or injected soil at the hardened state. This medium is treated here as a multiphase material consisting of sand grains (initial skeleton), of solidified grout which connects grains, and residual pores. The study of this heterogeneous material is based on the homogenization method of periodic media (HMP) in order to obtain the macroscopic behavior from that of each phase and the precise description of the microstru...

    Quantitative KAM theorem

    Castan, Thibaut (2017)
    We revisit Pöschel's 2001 version of the KAM theorem so as to find an explicit quantitative bound for the size of the allowed perturbation. Our theorem is applied to the plane planetary problem in a pair of other papers.
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