  We study the conductance of three or more semi-infinite wires which meet at a
junction. The electrons in the wires are taken to interact weakly with each
other through a short-range density-density interaction, and they encounter a
general scattering matrix at the junction. We derive the renormalization group
equations satisfied by the S-matrix, and we identify its fixed points and their
stabilities. The conductance between any pair of wires is then studied as a
function of physical parameters such as temperature. We discuss the possibility
of observing the effects of junctions in present day experiments, such as the
four-terminal conductance of a quantum wire and crossed quantum wires.
