7,135 research outputs found

    Bounds for the discrete correlation of infinite sequences on k symbols and generalized Rudin-Shapiro sequences

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    Motivated by the known autocorrelation properties of the Rudin-Shapiro sequence, we study the discrete correlation among infinite sequences over a finite alphabet, where we just take into account whether two symbols are identical. We show by combinatorial means that sequences cannot be "too" different, and by an explicit construction generalizing the Rudin-Shapiro sequence, we show that we can achieve the maximum possible difference.Comment: Improved Introduction and new Section 6 (Lovasz local lemma

    Optical waveguiding in proton-implanted GaAs

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    We have produced optical waveguides in n-type GaAs by implantation with 300-keV protons. The guiding is shown to be due to the elimination of charge carriers from the implanted region. Annealing of the waveguide leads to very large reductions in the 1.15-µ guided-wave absorption

    Towards a quantum-chemical description of crystalline insulators: A Wannier-function-based Hartree-Fock study of Li2O and Na2O

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    A recently proposed approach for performing electronic-structure calculations on crystalline insulators in terms of localized orthogonal orbitals is applied to the oxides of lithium and sodium, Li2O and Na2O. Cohesive energies, lattice constants and bulk moduli of the aforementioned systems are determined at the Hartree-Fock level, and the corresponding values are shown to be in excellent agreement with the values obtained by a traditional Bloch-orbital-based Hartree-Fock approach. The present Wannier-function-based approach is expected to be advantageous in the treatment of electron-correlation effects in an infinite solid by conventional quantum-chemical methods.Comment: 15 Pages, RevTex, 3 postscript figures (included), to appear in the Journal of Chemical Physics, May 15, 199

    The You-Turn in Philosophy of Mind: On the Significance of Experiences that Aren’t Mine.

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    Ph.D. Thesis. University of Hawaiʻi at Mānoa 2018
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