Quenched Invariance Principles for Random Walks with
β Scribed by P. Mathieu
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 494 KB
- Volume
- 130
- Category
- Article
- ISSN
- 0022-4715
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π SIMILAR VOLUMES
Reaction random walk systems are hyperbolic models for the description of Ε½ . spatial motion in one dimension and reaction of particles. In contrast to reaction diffusion equations, particles have finite propagation speed. For parabolic systems invariance results and maximum principles are well know
We prove invariance principles for the ΓΏrst passage time process of a perturbed random walk in one or two dimensions. More precisely, weak convergence to Brownian motion with respect to Skorohod's J1-topology is proved under suitable conditions on the perturbations.
A general Hilbert-space-based stochastic averaging theory is brought forth herein for arbitrary-order parabolic equations with (possibly long range dependent) random coefficients. We use regularity conditions on t u = (t, x)= : which are slightly stronger than those required to prove pathwise exist