How to cite item

Large deviations for self-intersection local times in subcritical dimensions

   
@article{EJP1874,
	author = {Clément Laurent},
	title = {Large deviations for self-intersection local times in subcritical dimensions},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {17},
	year = {2012},
	keywords = {Large deviations; intersection local times; self-intersection.},
	abstract = {Let $(X_t,t\geq 0)$ be a simple symmetric random walk on $\mathbb{Z}^d$ and for any $x\in\mathbb{Z}^d$, let $ l_t(x)$ be its local time at site $x$. For any $p>1$, we denote by$ I_t= \sum\limits_{x\in\mathbb{Z}^d} l_t(x)^p $ the p-fold self-intersection local times (SILT). Becker and König recently proved a large deviations principle for $I_t$ for all $p>1$ such that $p(d-2/p)<2$. We extend these results to a broader scale of deviations and to the whole subcritical domain $p(d-2)<d$. Moreover, we unify the proofs of the large deviations principle using a method introduced by Castell for the critical case $p(d-2)=d$.},
	pages = {no. 21, 1-20},
	issn = {1083-6489},
	doi = {10.1214/EJP.v17-1874},    
        url = {http://ejp.ejpecp.org/article/view/1874}}