  A watermelon is a set of $p$ Bernoulli paths starting and ending at the same
ordinate, that do not intersect. In this paper, we show the convergence in
distribution of two sorts of watermelons (with or without wall condition) to
processes which generalize the Brownian bridge and the Brownian excursion in
$\mathbb{R}^p$. These limit processes are defined by stochastic differential
equations. The distributions involved are those of eigenvalues of some
Hermitian random matrices. We give also some properties of these limit
processes.
