Dr. Alessandra Bianchi


RESEARCH INTERESTS

  • Interacting particle systems
  • Metastability of Markov processes
  • Random walks on random structures
  • Random graphs
  • Stochastic dynamics and relaxation time

    • For more details see my curriculum (English or Italian).

    PAPERS AND PREPRINTS
  • The GHS and other inequalities for the two-star model (Preprint 2021)
    (joint work with F. Collet and E. Magnanini).
    Arxiv: 2107.08889

  • Limit theorems for exponential random graphs (Preprint 2021)
    (joint work with F. Collet and E. Magnanini).
    Arxiv: 2105.06312

  • Mixing time evolution in the bipopulated Curie-Weiss model (Preprint 2021)
    (joint work with F. Collet).

  • Limit theorems for Lévy flights on a 1D Lévy random medium
    (joint work with G. Bet, M. Lenci , E. Magnanini, S. Stivanello).
    Electronic Journal of Probability 2021, Vol. 26, pp. 1-25.

  • On soft capacities, quasi-stationary distributions and the pathwise approach to metastability
    (joint work with A. Gaudilliere and P. Milanesi).
    Journal of Statistical Physics 2020, Vol. 181, No.3, pp. 1052-1086.

  • Continuous-time random walk between Lévy-spaced targets in the real line
    (joint work with M. Lenci , and F. Pène ).
    Stochastic Processes and their Applications 2020, Vol. 130, No. 2, pp. 708-732.

  • Metastability in the reversible inclusion process
    (joint work with C. Giardina' and S. Dommers)
    Electronic Journal of Probability 2017, Vol. 22, No. 70, pp. 1-34.

  • Random walks in a one-dimensional Lévy random environment
    (joint work with G. Cristadoro, M. Lenci and M. Ligabó)
    Journal of Statistical Physics 2016, Vol. 163, No. 1, pp. 22–40.

  • Metastable states, quasi-stationary and soft measures, mixing time asymptotic via variational principles
    (joint work with A. Gaudilliere)
    Stochastic Processes and their Applications 2016, Vol. 126, No. 6, pp. 1622–1680.

  • Analysis of a Hurst parameter estimator based on the modified Allan variance
    (joint work with S. Bregni, I. Crimaldi and M. Ferrari)
    In: 2012 IEEE Globecom Workshops, Anaheim, California, USA, 3-7 December 2012, pp. 1716-1721.

  • Asymptotic normality of a Hurst parameter estimator based on the modified Allan variance
    (joint work with M. Campanino and I. Crimaldi )
    International Journal of Stochastic Analysis, 2012, Vol. 2012, pp. 1-20.

  • Pointwise estimates and exponential laws in metastable systems via coupling methods
    (joint work with A. Bovier and D. Ioffe )
    Annals of Probability, 2012, Vol. 40, No. 1, pp. 339-371.

  • Sharp asymptotics for metastability in the random field Curie-Weiss model
    (joint work with A. Bovier and D. Ioffe )
    Electronic Journal of Probability, 2009, Vol. 14, pp. 1541-1603.

  • Glauber dynamics on nonamenable graphs: Boundary conditions and mixing time
    Electronic Journal of Probability, 2007, Vol. 13, pp. 1980-2012.

  • Stochastically Stable Quenched Measures
    (joint work with P. Contucci and A. Knauf)
    Journal of Statistical Physics, 2004, Vol. 117, No. 5/6, pp. 831-844.

  • Thermodynamic Limit for Mean-Field Spin Models
    (joint work with P. Contucci and C. Giardina')
    Mathematical Physics Electronic Journal, 2003, Vol. 9, No. 6.

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    MY PH.D THESIS
  • Mixing time for Glauber dynamics beyond Z^d


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