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We study the spectrum of BPS domain walls within the parameter space of N=1U(N) gauge theories with adjoint matter and a cubic superpotential. Using a lowenergy description obtained by compactifying the theory on R^3 x S^1, weexamine the wall spectrum by combining direct calculations at special points inthe parameter space with insight drawn from the leading order potential betweenminimal walls, i.e those interpolating between adjacent vacua. We show that themultiplicity of composite BPS walls -- as characterised by the CFIV index --exhibits discontinuities on marginal stability curves within the parameterspace of the maximally confining branch. The structure of these marginalstability curves for large N appears tied to certain singularities within thematrix model description of the confining vacua.Comment: 33 pages, LaTeX, 6 eps figures; v2: references adde

A note on domain walls and the parameter space of Script N = 1 gauge theories