2 citations · 2 across the 2 of their papers we have counts for
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Disconnection and entropic repulsion for the harmonic crystal with random conductances
Alberto Chiarini, Maximilian Nitzschner
We study level-set percolation for the harmonic crystal on , , with uniformly elliptic random conductances. We prove that this model undergoes a non-trivial…
Singular weighted Sobolev spaces and diffusion processes: an example (due to V.V. Zhikov)
Alberto Chiarini, Pierre Mathieu
We consider the Sobolev space over of square integrable functions whose gradient is also square integrable with respect to some positive weight. Tt is well known tha…
Approximating conditional distributions
Alberto Chiarini, Alessandra Cipriani, Giovanni Conforti
In this article, we discuss the basic ideas of a general procedure to adapt the Stein-Chen method to bound the distance between conditional distributions. From an integration-by-pa…
A note on the extremal process of the supercritical Gaussian Free Field
Alberto Chiarini, Alessandra Cipriani, Rajat Subhra Hazra
We consider both the infinite-volume discrete Gaussian Free Field (DGFF) and the DGFF with zero boundary conditions outside a finite box in dimension larger or equal to 3. We show…