Small-x behavior of light-cone wave functions in transverse lattice gauge theory

We study the behavior of light-cone wave functions, in coarse transverse lattice gauge theory, when one or more parton light-cone momenta are small. This probes the limit of hadron structure at large and small Bjorken x. Finite-energy boundary conditions on boundstates allow one to derive the analytic form of wave functions in this region. This leads to simple, universal predictions for the behavior of quark generalized parton distributions near their endpoints. For the first few meson wave functions at large N{sub c}, we give the simplest ansatz that incorporates all the boundary conditions.