Author

W. Ruszel

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Preprint Sep 2026

Universal correlations in the Abelian sandpile model

We numerically study the bulk correlation functions in the two-dimensional Abelian sandpile model, aiming both to compare with the predictions of logarithmic conformal field theory and to extend the analysis to lattices where analytical methods are difficult to apply. Wilson's algorithm efficiently generates large-scal...

Qi-Yu Liu, Jan-Niklas Herre, Prajit Baruah et al. · 0 citations

Preprint Oct 2026

Gaussian fluctuations of differential observables of stationary lattice fields

We study Gaussian fluctuations of differential observables of centered stationary random fields on the discrete $d$-dimensional torus of mesh $1/N$. Our main result is a Central Limit Theorem for the fields $f\mapsto N^{-d/2-m}\sum_x\phi_x^N(Pf)(x/N)$, where $P$ is a scalar homogeneous constant-coefficient differential...

Fabio Coppini, W. Ruszel · 0 citations