Mean field upper and lower bounds on Lyapunov exponents
Mean field upper and lower bounds on Lyapunov exponents
复制标题
Lyapunov 指数的平均场上限和下界
DOI：
10.1353/ajm.2002.0031
复制
发表时间：
2002
影响因子：
1.7
通讯作者：
Wei Wang
中科院分区：
文献类型：
--
作者：
Wei Wang
我们扩展了早期论文中开发的随机势中随机游走的超对称场论公式。我们获得了格林函数平方在临界能量处的平均场衰减率。这需要研究格拉斯曼变量的四次超对称场论。我们还获得了无界势的李雅普诺夫指数的临界能量的平均场上限和下界。上界部分扩展了早期工作中的相应结果。
We extend the supersymmetric field theory formulation of random walks in random po- tentials developed in earlier papers. We obtain the mean field rate of decay for the squared Green's function at the critical energy. This requires studying supersymmetric field theories which are quar- tic in the Grassmann variables. We also obtain both the mean field upper and lower bounds at the critical energy for Lyapunov exponents for unbounded potentials. The upper bound part extends the corresponding result in an earlier work.