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Publication:2711846
zbMath1029.60084MaRDI QIDQ2711846
Sunder Sethuraman, Horng-Tzer Yau, Srinivasa R. S. Varadhan
Publication date: 26 April 2001
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Functional limit theorems; invariance principles (60F17)
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Cites Work
- Unnamed Item
- Unnamed Item
- Navier-Stokes equations for stochastic particle systems on the lattice
- The motion of a tagged particle in the simple symmetric exclusion system on Z
- Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
- Central limit theorems for infinite series of queues and applications to simple exclusion
- Fluctuation-dissipation equation of asymmetric simple exclusion processes
- A limit theorem for the position of a tagged particle in a simple exclusion process