3 citations · 4 across the 5 of their papers we have counts for
9 papers
Scale-free percolation mixing time
Alessandra Cipriani, Michele Salvi
Assign to each vertex of the one-dimensional torus i.i.d. weights with a heavy-tail of index . Connect then each couple of vertices with probability roughly proportional to…
Scaling Limit of Sub-ballistic 1D Random Walk among Biased Conductances: a Story of Wells and Walls
Quentin Berger, Michele Salvi
We consider a one-dimensional random walk among biased i.i.d. conductances, in the case where the random walk is transient but sub-ballistic: this occurs when the conductances have…
Scale-free percolation in continuum space: quenched degree and clustering coefficient
Joseba Dalmau, Michele Salvi
Spatial random graphs capture several important properties of real-world networks. We prove quenched results for the continuum space version of scale-free percolation introduced in…
1D Mott variable-range hopping with external field
Alessandra Faggionato
Mott variable-range hopping is a fundamental mechanism for electron transport in disordered solids in the regime of strong Anderson localization. We give a brief description of thi…
Regularity of biased 1D random walks in random environment
Alessandra Faggionato, Michele Salvi
We study the asymptotic properties of nearest-neighbor random walks in 1d random environment under the influence of an external field of intensity . For ergodic shi…
Scaling of sub-ballistic 1D Random Walks among biased Random Conductances
Quentin Berger, Michele Salvi
We consider two models of one-dimensional random walks among biased i.i.d. random conductances: the first is the classical exponential tilt of the conductances, while the second co…