31 citations · 99 across the 20 of their papers we have counts for
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math.PR2012
Symmetric exclusion as a random environment: hydrodynamic limits
Luca Avena, Tertuliano Franco, Milton Jara +1
We consider a one-dimensional continuous time random walk with transition rates depending on an underlying autonomous simple symmetric exclusion process starting out of equilibrium…
math.PR2012★ 3 cited
Phase transition of a Heat equation with Robin's boundary conditions and exclusion process
Tertuliano Franco, Patricia Gonçalves, Adriana Neumann
For a heat equation with Robin's boundary conditions which depends on a parameter , we prove that its unique weak solution converges, when goes to zero or to infinit…
math.PR2012★ 4 cited
A particle system with explosions: law of large numbers for the density of particles and the blow-up time
Tertuliano Franco, Pablo Groisman
Consider a system of independent random walks in the discrete torus with creation-annihilation of particles and possible explosion of the total number of particles in finite time.…