My principal domain of research is probability theory, with a particular accent on statistical physics models. More specifically I investigated random interface models such as the Gaussian free field (extremes, entropic repulsion, level set percolation). I have also worked on random motion in random media, focusing especially on the random conductance model and on diffusions in divergence form with degenerate and unbounded coefficients. These topics, apparently far from each other, are in fact intimately connected and share a set of probabilistic and analytical techniques: ranging from potential theory and the theory of Dirichlet forms to the study of PDEs of the second order and homogenization problems.

For a more detailed overview have a look at my research statement.

- A. Chiarini and M. Nitzschner. Entropic repulsion for the Gaussian free field conditioned on disconnection by level-sets. To appear in Prob. Theory Relat. Fields (2019). arXiv
- A. Chiarini and M. Nitzschner. Entropic repulsion for the occupation-time field of random interlacements conditioned on disconnection. To appear in the Annals of Probability (2019). arXiv
- P. Bella, A. Chiarini and B. Fehrman. A Liouville theorem for stationary and ergodic ensembles of parabolic systems. Volume 173, Issue 3-4, Probab. Theory Relat. Fields (2019). Paper
- A. Chiarini and P. Mathieu. Singular weighted Sobolev spaces and diffusion processes: an example (due to V.V. Zhikov). Volume 98, Issue 1-2:
*Homogenization and Qualitative Theory of Differential Equations dedicated to the memory of Vassily Vassilievich Zhikov*. Applicable Analysis (2019). Paper - S. Andres, A. Chiarini, J.D. Deuschel and M. Slowik. Quenched invariance principle for random walks with time-dependent ergodic degenerate weights. The Annals of Probability (2018) vol. 46, no. 1, 302-336. Paper
- A. Chiarini, A. Cipriani and R. S. Hazra. Extremes of some Gaussian random interfaces. Journal of Statistical Physics, (2016), Vol. 165, Issue 3, pp 521–544 Paper
- A. Chiarini, A. Cipriani and R. S. Hazra. Extremes of the supercritical Gaussian Free Field. ALEA, Lat. Am. J. Probab. Math. Stat. (2016) 13, 711–724. Paper
- A. Chiarini and J.D. Deuschel. Invariance principle for symmetric diffusions in a degenerate and unbounded stationary and ergodic random medium. Annales de l'Institut Henri Poincaré (B) (2016), vol. 52, no. 4, 1535-1563. Paper
- A. Chiarini and J.D. Deuschel. Local Central Limit Theorem for diffusions in a degenerate and unbounded random medium. Electron. J. Probab. 20 (2015), no. 112, 1-30. doi:10.1214/EJP.v20-4190. Paper
- A. Chiarini, A. Cipriani and R. S. Hazra. A note on the extremal process of the supercritical Gaussian Free Field. Electron. Commun. Probab. 20 (2015), no. 74, 1-10. doi:10.1214/ECP.v20-4332. Paper
- A. Chiarini and M. Fischer. On large deviations for small noise Itô processes. Adv. in Appl. Probab. 46 (2014), no. 4, 1126--1147. doi:10.1239/aap/1418396246. Paper

- S. Andres, A. Chiarini and M. Slowik. Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights. arXiv
- A. Chiarini, A. Cipriani and G. Conforti. Approximating conditional distributions. arXiv
- A. Chiarini and A. Cipriani. A note on the Green's function for the transient random walk without killing on the half lattice, orthant and strip. arXiv
- A. Chiarini. Invariance principle for diffusions in degenerate and unbounded random environment. Phd thesis
- A. Chiarini. Large deviations for small noise Itô processes through a weak convergence approach. Master thesis