Large gaps asymptotics for the 1-dimensional random Schrodinger operator

被引：0
|
作者：
Jacquot, Stephanie [1 ]
机构：
[1] Ctr Math Sci, Stat Lab, Cambridge CB3 0WB, England
来源：
ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2014年 / 19卷
关键词：
Point process; stationary distribution; Girsanov transformation; diffusion;
D O I：
10.1214/EJP.v19-2724
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We show that in the Schrodinger point process, Sch(tau), tau > 0; the probability of having no eigenvalue in a fixed interval of size lambda is given by exp (-lambda(2)/4 tau + (2/tau - 1/tau) lambda + o(lambda) , as lambda -> infinity. It is a slightly more precise version of the formula given in a previous work.
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页码：1 / 12
页数：12
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