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20022005
most citedScale free networks of earthquakes and aftershocks

455 citations

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math.PR2004

SPDEs with coloured noise: Analytic and stochastic approaches

Marco Ferrante, Marta Sanz-Solé

We study strictly parabolic stochastic partial differential equations on , , driven by a Gaussian noise white in time and coloured in space. Assuming that the coeffic…

math.PR2004★ 11 cited

Logarithmic Sobolev inequality for zero-range Dynamics

Paolo Dai Pra, Gustavo Posta

We prove that the logarithmic Sobolev constant for zero-range processes in a box of diameter grows as .

math.PR2003★ 1 cited

Hitting times for special patterns in the symmetric exclusion process on Z^d

Amine Asselah, Paolo Dai Pra

We consider the symmetric exclusion process {η_t,t>0} on {0,1}^{Z^d}. We fix a pattern A:={η:\sum_Λη(i)\ge k}, where Λis a finite subset of Z^d and k is an integer, and we consider…