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An invariance principle for Brownian motion in random scenery

   
@article{EJP2894,
	author = {Yu Gu and Guillaume Bal},
	title = {An invariance principle for Brownian motion in random scenery},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {19},
	year = {2014},
	keywords = {weak convergence, random media, central limit theorem},
	abstract = {
We prove an invariance principle for Brownian motion in Gaussian or Poissonian random scenery by the method of characteristic functions. Annealed asymptotic limits are derived in all dimensions, with a focus on the case of dimension $d=2$, which is the main new contribution of the paper.
},
	pages = {no. 1, 1-19},
	issn = {1083-6489},
	doi = {10.1214/EJP.v19-2894},    
        url = {http://ejp.ejpecp.org/article/view/2894}}