12 citations · 18 across the 6 of their papers we have counts for
13 papers
From clonal interference to Poissonian interacting trajectories
Felix Hermann, Adrián Gonzalez Casanova, Renato Soares dos Santos +2
We consider a population whose size is fixed over the generations, and in which random beneficial mutations arrive at a rate of order per generation. In this so-call…
Weakly self-avoiding walk in a pareto-distributed random potential
Wolfgang König, Nicolas Pétrélis, Renato Soares dos Santos +1
We investigate a model of continuous-time simple random walk paths in undergoing two competing interactions: an attractive one towards the large values of a random p…
Law of large numbers for ballistic random walks in dynamic random environments under lateral decoupling
Weberson S. Arcanjo, Rangel Baldasso, Marcelo R. Hilário +1
We establish a strong law of large numbers for one-dimensional continuous-time random walks in dynamic random environments under two main assumptions: the environment is required t…
The Bouchaud-Anderson model with double-exponential potential
Stephen Muirhead, Richard Pymar, Renato Soares dos Santos
The Bouchaud-Anderson model (BAM) is a generalisation of the parabolic Anderson model (PAM) in which the driving simple random walk is replaced by a random walk in an inhomogeneous…
Mass concentration and aging in the parabolic Anderson model with doubly-exponential tails
Marek Biskup, Wolfgang Koenig, Renato Soares dos Santos
We study the solutions to the Cauchy problem on for the parabolic equation with initial data . He…
Zero-one law for directional transience of one-dimensional random walks in dynamic random environments
Tal Orenshtein, Renato Soares dos Santos
We prove the trichotomy between transience to the right, transience to the left and recurrence of one-dimensional nearest-neighbour random walks in dynamic random environments unde…