42 citations · 49 across the 9 of their papers we have counts for
9 papers
Marked random graphs with given degree sequence: large deviations on the local topology
Rangel Baldasso, Alan Pereira, Guilherme Reis
We investigate the behavior of the empirical neighborhood distribution of marked graphs in the framework of local weak convergence. Here we extend known results by considering unif…
Interacting Edge-Reinforced Random Walks
Nina Gantert, Fabian Michel, Guilherme Reis
We consider the edge-reinforced random walk with multiple (but finitely many) walkers which influence the edge weights together. The walker which moves at a given time step is chos…
Large deviations for marked sparse random graphs with applications to interacting diffusions
Rangel Baldasso, Roberto I Oliveira, Alan Pereira +1
We consider the empirical neighborhood distribution of marked sparse Erdős-Rényi random graphs, obtained by decorating edges and vertices of a sparse Erdős-Rényi random graph with…
A proof of Sanov's Theorem via discretizations
Rangel Baldasso, Roberto I. Oliveira, Alan Pereira +1
We present an alternative proof of Sanov's theorem for Polish spaces in the weak topology that follows via discretization arguments. We combine the simpler version of Sanov's Theor…
Stochastic processes with competing reinforcements
Dirk Erhard, Guilherme Reis
We introduce a simple but powerful technique to study processes driven by two or more reinforcement mechanisms in competition. We apply our method to two types of models: to non co…
Large deviations for interacting diffusions with path-dependent McKean-Vlasov limit
Rangel Baldasso, Alan Pereira, Guilherme Reis
We consider a mean-field system of path-dependent stochastic interacting diffusions in random media over a finite time window. The interaction term is given as a function of the em…
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…
Interacting diffusions on sparse graphs: hydrodynamics from local weak limits
Roberto I. Oliveira, Guilherme H. Reis, Lucas M. Stolerman
We prove limit theorems for systems of interacting diffusions on sparse graphs. For example, we deduce a hydrodynamic limit and the propagation of chaos property for the stochastic…
Interacting diffusions on random graphs with diverging degrees: hydrodynamics and large deviations
Roberto I. Oliveira, Guilherme Reis
We consider systems of mean-field interacting diffusions, where the pairwise interaction structure is described by a sparse (and potentially inhomogeneous) random graph. Examples i…