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math.PR2022★ 1 cited
Properties of the gradient squared of the discrete Gaussian free field
Alessandra Cipriani, Rajat S. Hazra, Alan Rapoport +1
In this paper we study the properties of the centered (norm of the) gradient squared of the discrete Gaussian free field in , and…
math.PR2022★ 1 cited
Positive reinforced generalized time-dependent Pólya urns via stochastic approximation
Wioletta M. Ruszel, Debleena Thacker
Consider a generalized time-dependent Pólya urn process defined as follows. Let be the number of urns/colors. At each time , we distribute balls randomly…
math.PR2022
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…