An invariance principle for Brownian motion in random scenery
نویسندگان
چکیده
منابع مشابه
An Invariance Principle for Brownian Motion in Random Scenery
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.
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2014
ISSN: 1083-6489
DOI: 10.1214/ejp.v19-2894