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Article overview
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On fractional Brownian motion limits in one dimensional nearest-neighbor symmetric simple exclusion | Magda Peligrad
; Sunder Sethuraman
; | Date: |
31 Oct 2007 | Abstract: | A well-known result with respect to the one dimensional nearest-neighbor
symmetric simple exclusion process is the convergence to fractional Brownian
motion with Hurst parameter 1/4, in the sense of finite-dimensional
distributions, of the subdiffusively rescaled current across the origin, and
the subdiffusively rescaled tagged particle position.
The purpose of this note is to improve this convergence to a functional
central limit theorem, with respect to the uniform topology, and so complete
the solution to a conjecture in the literature with respect to simple exclusion
processes. | Source: | arXiv, 0711.0017 | Services: | Forum | Review | PDF | Favorites |
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