11 octobre 2017: 1 événement

  • Séminaires SPOC

    Mercredi 11 octobre 10:30-11:30 - Pierre-Yves Louis - Poitiers

    Synchronization and Functional Central Limit Theorems for Interacting Reinforced Random Walks

    Résumé : We obtain Central Limit Theorems in Functional form for a class of
    time-inhomogeneous interacting random walks on the simplex of
    probability measures over a finite set. Due to a reinforcement
    mechanism, the increments of the walks are correlated, forcing their
    convergence to the same, possibly random, limit. Random walks of this
    form have been introduced in the context of urn models and in
    stochastic algorithms. We also propose an application to opinion
    dynamics in a random network evolving via preferential attachment. We
    study, in particular, random walks interacting through a mean-field rule
    and compare the rate they converge to their limit with the rate of
    synchronization, i.e. the rate at which their mutual distances
    converge to zero. Under certain conditions, synchronization is faster
    than convergence. This is joint work with I. Crimaldi, P. Dai Pra and I. Minelli.

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11 octobre 2017: 1 événement

  • Séminaires Math-Physique

    Mercredi 11 octobre 16:15-17:15 - Maxim Pavlov - Novosibirsk state University

    Séminaire Math-Phys : Integrability of Exceptional Hydrodynamic Type Systems

    Résumé : We consider integrable non-diagonalisable hydrodynamic type systems with a single multiple root of a characteristic polynomial of a velocity matrix.
    We apply the Extended Hodograph Method to construct a general solution.
    For the Mikhalev three-dimensional linearly degenerate equation of second order we present simplest solution selected by three-component integrable non-diagonalisable hydrodynamic type system with a triple root.

    Lieu : Salle A318

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