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.

引用

页码：1 / 12

页数：12

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