  In this paper, we analyze the stochastic properties of some large size (area)
polyominoe's perimeter such that the directed column-convex polyomino, the
column-convex polyomino, the directed diagonally-convex polyomino, the
staircase (or parallelogram) polyomino, the escalier polyomino, the wall (or
bargraph) polyomino. All polyominoes considered here are made of contiguous,
not-empty columns, without holes, such that each column must be adjacent to
some cell of the previous column. We compute the asymptotic (for large size
$n$) Gaussian distribution of the perimeter, including the corresponding Markov
property of the chain of columns, and the convergence to classical Brownian
motions of the perimeter seen as a trajectory according to the successive
columns. All polyominoes of size $n$ are considered as equiprobable.
