3 citations · 4 across the 7 of their papers we have counts for
8 papers
Second-order fields for stochastic partial differential equations
Eldon Barros, Leandro Chiarini, Milton Jara
In this article, we study the second-order fluctuation of the solutions of one-dimensional polynomial stochastic partial differential equations (SPDEs) of the form \begin{equation*…
Fermionic Gaussian free field structure in the Abelian sandpile model and uniform spanning tree
Leandro Chiarini, Alessandra Cipriani, Alan Rapoport +1
In this paper we rigorously construct a finite volume representation for the height-one field of the Abelian sandpile model and the degree field of the uniform spanning tree in ter…
Stochastic homogenization of Gaussian fields on random media
Leandro Chiarini, Wioletta M. Ruszel
In this article, we study stochastic homogenization of non-homogeneous Gaussian free fields and bi-Laplacian fields . They can be characterized as f…
Absorbing-state phase transition and activated random walks with unbounded capacities
Leandro Chiarini, Alexandre Stauffer
In this article, we study the existence of an absorbing-state phase transition of an Abelian process that generalises the Activated Random Walk (ARW). Given a vertex transitive $G=…
Fractional Edgeworth expansions for one-dimensional heavy-tailed random variables and applications
Leandro Chiarini, Milton Jara, Wioletta M. Ruszel
In this article, we study a class of lattice random variables in the domain of attraction of an -stable random variable with index which satisfy a truncated fractio…
A one-dimensional non-local singular SPDE
L. Chiarini, C. Landim
We examine in this article the one-dimensional, non-local, singular SPDE \begin{equation*} \partial_t u \;=\; -\, (-Δ)^{1/2} u \,-\, \sinh(γu) \,+\, ξ\;, \end{equation*} where $γ\i…
Constructing fractional Gaussian fields from long-range divisible sandpiles on the torus
Leandro Chiarini, Milton Jara, Wioletta Ruszel
In \cite{Cipriani2016}, the authors proved that, with the appropriate rescaling, the odometer of the (nearest neighbours) divisible sandpile on the unit torus converges to a bi-Lap…
Bounds on the Quenched Pressure and Main Eigenvalue of the Ruelle Operator for Brownian Type Potentials
L. Chiarini, L. Cioletti
In this paper we consider a random potential derived from the Brownian motion. We obtain upper and lower bounds for the expected value of the main eigenvalue of the associated Ruel…