# Constrained Willmore surfaces

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The truncated local limit theorem is proved for difference approximations of multidimensional diffusions. Under very mild conditions on the distributions of difference terms, this theorem states that the transition probabilities of these approximations, after truncation of some asymptotically...

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We consider a 2p=4 order differential operator on the real line with periodic coefficients. The spectrum of this operator is absolutely continuous and consists of a union of spectral bands separated by gaps. We define the Lyapunov function, which is analytic on a p-sheeted Riemann surface. The...