In this paper we introduce and investigate the notion of uniformly integrable operators on L p (E, +). Its relations to classical compactness and hypercontractivity are exhibited. Several consequences of this notion are established, such as Perron Frobenius type theorems, independence on p of the sp
Hydrodynamics and large deviation for simple exclusion processes
β Scribed by C. Kipnis; S. Olla; S. R. S. Varadhan
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 653 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
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
We are interested in large deviations for consistent statistics which are quadratic forms of Gaussian locally stationary processes in the sense of Dahlhaus.
## Abstract Let __X~t~__ be a symmetric stable process on __d__βdimensional Euclidean space \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {R}}^d$\end{document}. Let __F__(__x__, __y__) be a symmetric positive bounded function on \documentclass{article}\usepac
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