Self-Averaging Scaling Limits for Random Parabolic Waves
β Scribed by Albert C. Fannjiang
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 314 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0003-9527
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove the strong law of large numbers for logarithmic averages of random vectors. We also obtain a strong approximation for logarithmic averages. for a large class of functions a if d = 1. Earlier results are due to [IS] and [12] when a(t) = I { t 5 0). For extensions of (1.3) we refer to [17],
A general formulation is presented for continuum scaling limits of stochastic spanning trees. A spanning tree is expressed in this limit through a consistent collection of subtrees, which includes a tree for every finite set of endpoints in β«ήβ¬ d . Tightness of the distribution, as β¦ Βͺ 0, is establi