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Large gaps asymptotics for the 1-dimensional random Schr¨odinger operator

   
@article{ECP2724,
	author = {Stephanie Jacquot},
	title = {Large gaps asymptotics for the 1-dimensional random Schr¨odinger operator},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {19},
	year = {2014},
	keywords = {},
	abstract = {We show that in the Schr\"{o}dinger point process, Sch$_\tau$, $\tau>0,$ the probability of having no eigenvalue in a fixed interval of size $\lambda$ is given by 
\[ 
\exp\left(-\frac{\lambda^2}{4\tau}+\left(\frac{2}{\tau}-\frac{1}{4}\right)\lambda +o(\lambda)\right), 
\] 
as $\lambda\to\infty.$ It is a slightly more precise version than the one given in a previous work.},
	pages = {no. 82, 1-12},
	issn = {1083-589X},
	doi = {10.1214/ECP.v19-2724},    
        url = {http://ecp.ejpecp.org/article/view/2724}}