Invariance principles for standard-normalized and self-normalized random   fields
  We investigate the invariance principle for set-indexed partial sums of a stationary field $(X\_{k})\_{k\in\mathbb{Z}^{d}}$ of martingale-difference or independent random variables under standard-normalization or self-normalization respectively. 
Mohamed El Machkouri (LMRS), Lahcen Ouchti (LMRS)