四维及更高维随机环境中随机游走的平均与淬灭大偏差相等
概率论
2010-04-09 v2
摘要
我们考虑均匀椭圆i.i.d.环境中最近邻随机游走的大偏差。容易看出，淬灭与平均速率函数并不恒等。当维度至少为四且满足Sznitman的暂现条件（T）时，我们证明这些速率函数在一个闭集上有限且相等，且该闭集的内部包含速率函数为零的每个非零速度。
引用
@article{arxiv.0903.0410,
title = {Equality of averaged and quenched large deviations for random walks in random environments in dimensions four and higher},
author = {Atilla Yilmaz},
journal= {arXiv preprint arXiv:0903.0410},
year = {2010}
}
备注
17 pages. Minor revision. In particular, note the change in the title of the paper. To appear in Probability Theory and Related Fields.