3 citations · 9 across the 9 of their papers we have counts for
13 papers
A Quantitative Functional Central Limit Theorem for Shallow Neural Networks
Valentina Cammarota, Domenico Marinucci, Michele Salvi +1
We prove a Quantitative Functional Central Limit Theorem for one-hidden-layer neural networks with generic activation function. The rates of convergence that we establish depend he…
Branching process and homogeneization for epidemics on spatial random graphs
Vincent Bansaye, Michele Salvi
Consider a graph where the sites are distributed in space according to a Poisson point process on . We study a population evolving on this network, with individuals ju…
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…
Random walk on a perturbation of the infinitely-fast mixing interchange process
M. Salvi, F. Simenhaus
We consider a random walk in dimension in a dynamic random environment evolving as an interchange process with rate . We only assume that the annealed drift is non-z…
Einstein relation and linear response in one-dimensional Mott variable-range hopping
A. Faggionato, N. Gantert, M. Salvi
We consider one-dimensional Mott variable-range hopping with a bias, and prove the linear response as well as the Einstein relation, under an assumption on the exponential moments…
The velocity of 1D Mott variable range hopping with external field
Alessandra Faggionato, Nina Gantert, Michele Salvi
Mott variable range hopping is a fundamental mechanism for low-temperature electron conduction in disordered solids in the regime of Anderson localization. In a mean field approxim…
On the speed of Random Walks among Random Conductances
Noam Berger, Michele Salvi
We consider random walk among random conductances where the conductance environment is shift invariant and ergodic. We study which moment conditions of the conductances guarantee s…
Large deviations for the local times of a random walk among random conductances
Wolfgang König, Michele Salvi, Tilman Wolff
We derive an annealed large deviation principle for the normalised local times of a continuous-time random walk among random conductances in a finite domain in in the spirit…