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math.PR2001
Enhanced interface repulsion from quenched hard-wall randomness
Daniela Bertacchi, Giambattista Giacomin
We consider the harmonic crystal on the d-dimensional lattice, d larger or equal to 3, that is the centered Gaussian field with covariance given by the Green function of the si…
math.PR2001
Classification on the average of random walks
Daniela Bertacchi, Fabio Zucca
We introduce a new method for studying large scale properties of random walks. The new concepts of transience and recurrence on the average are compared with the ones introduced by…
math.PR2000
Uniform asymptotic estimates of transition probabilities on combs
Daniela Bertacchi, Fabio Zucca
We investigate the asymptotical behaviour of the transition probabilities of the simple random walk on the 2-comb. In particular we obtain space-time uniform asymptotical estimates…