31 citations · 99 across the 20 of their papers we have counts for
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Equilibrium fluctuations for the slow boundary exclusion process
Tertuliano Franco, Adriana Neumann, Patrícia Gonçalves
We prove that the equilibrium fluctuations of the symmetric simple exclusion process in contact with slow boundaries is given by an Ornstein-Uhlenbeck process with Dirichlet, Robin…
Non-equilibrium and stationary fluctuations of a slowed boundary symmetric exclusion
Tertuliano Franco, Patrícia Gonçalves, Adriana Neumann
We consider a one-dimensional symmetric simple exclusion process in contact with slowed reservoirs: at the left (resp. right) boundary, particles are either created or removed at r…
Phase transition in the KMP model with Slow/Fast boundaries
Tertuliano Franco
The Kipnis-Marchioro-Presutti (KMP) is a known model consisting on a one-dimensional chain of mechanically uncoupled oscillators, whose interactions occur via independent Poisson c…
Corrigendum to: Phase transition in equilibrium fluctuations of symmetric slowed exclusion
Tertuliano Franco, Patrícia Gonçalves, Adriana Neumann
We present the correct space of test functions for the Ornstein-Uhlenbeck processes defined in \cite{fgn2}. Under these new spaces, an invariance with respect to a second order ope…