Erratum to: Integral Formulas for the Asymmetric Simple Exclusion Process
β Scribed by Craig A. Tracy; Harold Widom
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 123 KB
- Volume
- 304
- Category
- Article
- ISSN
- 0010-3616
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π SIMILAR VOLUMES
We consider tlie one-dimensional weakly asymmetric nearest nrighbour excliision procvss and study, in macrosropic space-time coordinates, the fluctuations of tlie associated density field around tlie solution of the nonlinear BURGERS equation with viscosity. We show that this fluctuations convrrgr t
It is well-known that the hydrodynamic limit of the asymmetric simple exclusion is governed by a viscousless Burgers equation in the Euler scale [15]. We prove that, in the same scale, the next-order correction is given by a viscous Burgers equation up to a fixed time T for dimension d β₯ 3 provided