31 citations · 99 across the 20 of their papers we have counts for
28 papers
Nonequilibrium Joint Fluctuations for Current and Occupation Time in The Symmetric Exclusion Process
Dirk Erhard, Tertuliano Franco, Tiecheng Xu
We provide a full description for the joint fluctuations of current and occupation time in the one-dimensional nonequilibrium simple symmetric exclusion process, furnishing explici…
Dynamical large deviations for the boundary driven symmetric exclusion process with Robin boundary conditions
T. Franco, P. Gonçalves, C. Landim +1
In this article, we consider a one-dimensional symmetric exclusion process in weak contact with reservoirs at the boundary. In the diffusive time-scaling the empirical measure evol…
Large Deviations for the SSEP with slow boundary: the non-critical case
Tertuliano Franco, Patrícia Gonçalves, Adriana Neumann
We prove a large deviations principle for the empirical measure of the one dimensional symmetric simple exclusion process in contact with reservoirs. The dynamics of the reservoirs…
The Fundamental Solution for the Heat Equation on the half-line with Drift and Dirichlet Boundary Condition
Tertuliano Franco, Patrícia Gonçalves, Nicolas Perkowski +1
By a probabilistic method we provide an explicit fundamental solution of the Cauchy problem associated to the heat equation on the half-line with constant drift and Dirichlet bound…
Large Deviations in the Supremum Norm for a Reaction-Diffusion System
Tertuliano Franco, Luana A. Gurgel, Bernardo N. B. de Lima
We present large deviations estimates in the supremum norm for a system of independent random walks superposed with a birth-and-death dynamics evolving on the discrete torus with $…
The Directed Edge Reinforced Random Walk: The Ant Mill Phenomenon
Dirk Erhard, Tertuliano Franco, Guilherme Reis
We define here a \textit{directed edge reinforced random walk} on a connected locally finite graph. As the name suggests, this walk keeps track of its past, and gives a bias toward…