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We review the calculation of moments of both the polarized and unpolarizedparton distribution functions of the nucleon in lattice QCD, and in particulartheir extrapolation to the physical region. We also discuss the reconstructionof the x dependence of the valence quark distributions in the nucleon from afinite number of lattice moments.Comment: 17 pages, 7 figures, mini-review prepared for Mod. Phys. Lett.

THE DILATATION OPERATOR OF $\mathcal{N}=4$ SYM AND CLASSICAL LIMITS OF SPIN CHAINS AND MATRIX MODELS