Displaying similar documents to “An accuracy improvement in Egorov's theorem.”

Carleson's Theorem: proof, complements, variations.

Michael T. Lacey (2004)

Publicacions Matemàtiques

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Carleson's Theorem from 1965 states that the partial Fourier sums of a square integrable function converge pointwise. We prove an equivalent statement on the real line, following the method developed by the author and C. Thiele. This theorem, and the proof presented, is at the center of an emerging theory which complements the statement and proof of Carleson's theorem. An outline of these variations is also given.

On the multiple overlap function of the SK model.

Sergio de Carvalho Bezerra, Samy Tindel (2007)

Publicacions Matemàtiques

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In this note, we prove an asymptotic expansion and a central limit theorem for the multiple overlap R of the SK model, defined for given N, s ≥ 1 by R = NΣ σ ... σ . These results are obtained by a careful analysis of the terms appearing in the cavity derivation formula, as well as some graph induction procedures. Our method could hopefully be applied to other spin glasses models.