%0 Journal Article %T A $d$-dimensional Brownian motion as a weak limit from a one-dimensional Poisson process %A Xavier Bardina Carles Rovira %J Mathematics %D 2009 %I arXiv %X We show how from an unique standard Poisson process we can build a family of processes that converges in law to a $d$-dimensional standard Brownian motion for any $d \ge 1$. %U http://arxiv.org/abs/0912.2457v1