Abstract
The invariance of equations for self-affine surface growth to reparametrization under the Abelian group of shift transformations h(x, t) to h(x, t)+l is used to bound the form of nonlinear terms and related kinetic coefficients in relaxational surface growth equations. For conserved growth small but relevant diffusive terms second-order in the driving can always be expected. It is also shown that the asymptotic growth distributions in d>2 can be expected to be skew and are not derivable from a Hamiltonian description.
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