which probably reflects the fact that many religious and aristocratic domains and properties were sold and divided in order to create new houses and new roads, improving congestion inside Paris. During the period 1826-1836 which corresponds roughly to the beginning of the the July Monarchy, the maps in Fig. \[fig:maxvbc\] suggests an important reorganization on the east side of Paris. This seems to correspond very well to the creation during that period of a new channel in this area (the channel ‘Saint Martin’) which triggered many transformations in the eastern part of the network.

In order to analyse the spatial redistribution effect more quantitatively, we compute various quantities inside a disk of radius $r$ centered on the barycenter of all nodes (which stays approximately at the same location in time). We first study the number of nodes $N(r)$ (Fig. \[fig:ripley\]), its variation $\delta N(r)$ between $t$ and $t+1$, and the number of central nodes (such that $g_v(i)>\max{g_v}/10$).

We see that the largest variation of the number of nodes (see \[fig:ripley\](b)) is indeed in the Haussmann period 1836-1888, especially for distance $r>1,500$ meters. More interesting, is the variation of the most central nodes (Fig. \[fig:ripley\]d). In particular, we observe that during 