Microscopic structure of a decreasing shock for the asymmetric -step exclusion process.
Marking (1, 2) points of the brownian web and applications
The brownian web (BW), which developed from the work of Arratia and then Tóth and Werner, is a random collection of paths (with specified starting points) in one plus one dimensional space–time that arises as the scaling limit of the discrete web (DW) of coalescing simple random walks. Two recently introduced extensions of the BW, the brownian net (BN) constructed by Sun and Swart, and the dynamical brownian web (DyBW) proposed by Howitt and Warren, are (or should be) scaling limits of corresponding...
Euler hydrodynamics for attractive particle systems in random environment
We prove quenched hydrodynamic limit under hyperbolic time scaling for bounded attractive particle systems on in random ergodic environment. Our result is a strong law of large numbers, that we illustrate with various examples.
Coarsening, nucleation, and the marked brownian web
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