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Anton Bovier

  1. Convergence to extremal processes in random environments and extremal ageing in SK models.

    Ср, 01/11/2012 - 15:01 — SomNambul
    Authors: Anton Bovier, Veronique Gayrard, Adela Svejda
    Subjects: Probability
    Abstract

    This paper extends recent results on aging in mean field spin glasses on
    short time scales, obtained by Ben Arous and Gun [2] in law with respect to the
    environment, to results that hold almost surely, respectively in probability,
    with respect to the environment. It is based on the methods put forward in
    Gayrard [8,9] and naturally complements Bovier and Gayrard [6].

  2. The genealogy of extremal particles of Branching Brownian Motion.

    Пт, 08/27/2010 - 15:01 — SomNambul
    Authors: Anton Bovier, Louis-Pierre Arguin, Nicola Kistler
    Subjects: Probability
    Abstract

    Branching Brownian Motion describes a system of particles which diffuse in
    space and split into offsprings according to a certain random mechanism. In
    virtue of the groundbreaking work by M. Bramson on the convergence of solutions
    of the Fisher-KPP equation to traveling waves, the law of the rightmost
    particle in the limit of large times is rather well understood. In this work,
    we address the full statistics of the extremal particles (first-, second-,
    third- etc. largest).

  3. Pointwise estimates and exponential laws in metastable systems via coupling methods.

    Втр, 09/08/2009 - 12:16 — SomNambul
    Authors: Alessandra Bianchi, Anton Bovier, Dmitry Ioffe
    Subjects: Probability
    Abstract

    We show how coupling techniques can be used in some metastable systems to
    prove that mean metastable exit times are almost constant as functions of the
    starting microscopic configuration within a "metastable set". In the example of
    the Random Field Curie Weiss model, we show that these ideas can also be used
    to prove asymptotic exponentiality of normalized metastable escape times.

  4. Pointwise estimates and exponential laws in metastable systems via coupling methods.

    Втр, 09/08/2009 - 12:16 — SomNambul
    Authors: Alessandra Bianchi, Anton Bovier, Dmitry Ioffe
    Subjects: Probability
    Abstract

    We show how coupling techniques can be used in some metastable systems to
    prove that mean metastable exit times are almost constant as functions of the
    starting microscopic configuration within a "metastable set". In the example of
    the Random Field Curie Weiss model, we show that these ideas can also be used
    to prove asymptotic exponentiality of normalized metastable escape times.

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