25 citations · 36 across the 7 of their papers we have counts for
3 papers · 1 filter
Random walk on random walks: low densities
Oriane Blondel, Marcelo R. Hilario, Renato Soares dos Santos +2
We consider a random walker in a dynamic random environment given by a system of independent simple symmetric random walks. We obtain ballisticity results under two types of pertur…
Random walk on random walks: higher dimensions
Oriane Blondel, Marcelo R. Hilario, Renato Soares dos Santos +2
We study the evolution of a random walker on a conservative dynamic random environment composed of independent particles performing simple symmetric random walks, generalizing resu…
Percolation in Media with Columnar Disorder
Peter Grassberger, Marcelo R. Hilario, Vladas Sidoravicius
We study a generalization of site percolation on a simple cubic lattice, where not only single sites are removed randomly, but also entire parallel columns of sites. We show that t…