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ALESSANDRA BIANCHI

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Position

Professoressa Associata

Structure

Dipartimento di Matematica "Tullio Levi-Civita" - DM

Address

VIA TRIESTE, 63 - TORRE ARCHIMEDE - PADOVA

Telephone

0498271406

E-mail

alessandra.bianchi@unipd.it

Alessandra Bianchi was born in Novafeltria (RN), Italy, on the 31/12/1977
° On July 2003 she graduated cum Laude in Mathematics at the University of Bologna. ° On April 2007 she received a PhD in Mathematics from the University of Roma Tre.
° On January 2007 she obtained a three-years postdoc fellowship in the research team “Interacting random system” of the WIAS of Berlin (Germany).
° From September 2009 to April 2012 she worked as postdoc researcher at the Mathematics Department of Bologna on the project “Self-similar processes with long-range dependence”.
° From May 2012 she is Assistant Professor of Probability and Statistics at the Department of Mathematics of Padova.
Her research interests concern Probability and Statistical Mechanics. In particular:
- Metastability in Markovian processes
- Stochastic dynamics and relaxation time
- Interacting particle systems on random structures
- Random walks on point processes
She has published 12 articles on international scientific journals and held about 50 talks to students and experts of the field.
She has been participant of 2 PRIN reasearch projects (2011, 2017), of a GNAMPA project (2012), of a "progetto d'Ateneo" (2013), and from 2012 to 2016 she has been PI of the Bologna Unity for the FIRB project "Stochastic Processes and Interacting Particle Systems: duality, metastability and their applications". In the framework of this project she supervised two post-doc fellowships of 3 years. Between 2007 and 2019 she has been visitor of the following research centers: University of Bonn (Germany), EURANDOM (Holland), Technion di Haifa (Israel), BCPR and IMPA of Rio de Janeiro (Brasil), LATP of the Université de Provence (Francia), IHP of Paris (France), ICERM of the Brown University (Providence, USA).
She has been co-organizer of the two editions of the ”Summer School in Probability”, held in Bologna in 2009 and 2012, and of the "Winter School in La Habana 2019” , held in La Habana (Cuba) in 2019.
She has supervised about 15 thesis of BMS and master in Mathematics, and since 2019 she is co-responsible of a research fellowship based at the Mathematics department of Bologna.

Notices

Office hours

  • at Stanza 512 del Dipartimento di Matematica
    Tramite appuntamento via email e dopo ogni lezione

Teachings

Publications

(1) A. Bianchi, P. Contucci, C. Giardin*a (2003). Thermodynamic Limit for Mean-Field Spin Models. Math. Phys. El. J., 9(6).
(2) A. Bianchi, P. Contucci, A. Knauf (2004). Stochastically Stable Quenched Measures. J. Stat. Phys., 117(5/6), 831-844.
(3) A. Bianchi (2008). Glauber dynamics on hyperbolic graphs: Boundary conditions and mixing time. Electr. J. Prob., 13, 1980–2012.
(4) A. Bianchi, A. Bovier, D. Ioffe (2008). Sharp asymptotics for metastability in the random field Curie-Weiss model. Electr. J. Prob., 14, 1541-1603.
(5) A. Bianchi, A. Bovier, D. Ioffe (2011). Pointwise estimates and exponential laws in metastable systems via coupling methods. Annals of Probability, 40(1), 339-371.
(6) A. Bianchi, M. Campanino, I. Crimaldi (2012). Asymptotic normality of a Hurst parameter estimator based on the modified Allan Variance. International J. of Stochastic Analysis, vol. 2012, 1-20.
(7) A. Bianchi, S. Bregni, I. Crimaldi, M. Ferrari (2012). Analysis of a Hurst parameter estimator based on the modied Allan variance. In: 2012 IEEE Globecom Workshops, p. 1716-1721, Anaheim, California, USA, 3-7 December 2012.
(8) A. Bianchi, A. Gaudillière (2015). Metastable states, quasi-stationary and soft measures, mixing time asymptotics via variational principles. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, vol. 126, p. 1622-1680.
(9) A. Bianchi, G. Cristadoro, M. Lenci, M. Ligabò (2016). Random walks in a one-dimensional Lévy random environment. JOURNAL OF STATISTICAL PHYSICS, vol. 1, p. 22-40.
(10) A. Bianchi, S. Dommers, C. Giardinà (2017). Metastability in the reversible inclusion process. ELECTRONIC JOURNAL OF PROBABILITY, vol. 22, p. 1-34.
(11) A. Bianchi, M. Lenci, F. Pène (2019). Continuous-time random walk between Lévy-spaced targets in the real line. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, Vol. 130, No. 2, pp. 708-732.
(12) A. Bianchi, A. Gaudilliere, P. Milanesi (2020). On soft ca*pacities, quasi-stationary distributions and the pathwise approach to metastability. Journal of Statistical Physics, Vol. 181, No.3, pp. 1052-1086.
(13) A. Bianchi, G. Bet, M. Lenci , E. Magnanini, S. Stivanello (2020). Limit theorems for Lévy flights on a 1D Lévy random medium. ELECTRONIC JOURNAL OF PROBABILITY (under press).

Research Area

- Metastability in Markovian processes
- Stochastic dynamics and relaxation time
- Interacting particle systems on random structures
- Random walks on point processes
- Limit theorems for Random graphs

Thesis proposals

- Random walks on Random graphs
- Contact Process
- Voter model
- Branching Brownian Motion
- Percolation and Ising model
- Large deviations
- Metastability and potential theory techniques
- Metastability in non-reversible systems
- Inclusion process and condensation
- Inhomogeneous Markov chains
- Relaxation time in Markov processes
- Random walk in random scenery
- Population models
- Random assignment
- Quasi stationary measures
- Random graphs
- Ising models on Z^d
- First passage time and Spitzer inequality