  In this paper we address the problem of localizing fermion states on stable
domain walls junctions. The study focus on the consequences of intersecting six
independent 8d domain walls to form 4d junctions in a ten-dimensional
spacetime. This is related to the mechanism of relaxing to three space
dimensions through the formation of domain wall junctions. The model is based
on six bulk real scalar fields, the phi-4 model in its broken phase, the
prototype of the Higgs field, and is such that the fermion and scalar modes
bound to the domain walls are the zero mode and a single massive bound state,
which can be regarded as a two level system, at least at sufficiently low
energy. Inside the junction, we use the fact that some states are statistically
more favored to address the possibility of constraining the flavor number of
the elementary fermions.
