Abstract—A coding scheme for the two-receivers Gaussian broadcast channel (BC) with feedback is proposed. For some asymmetric settings it achieves new rate pairs. Moreover, it achieves prelog 2 when the noises at the two receivers are fully positively correlated and of unequal variances, thus

Abstract. We give a new proof of regularity of biharmonic maps from four-dimensional domains into spheres, showing first that the biharmonic map system is equivalent to a set of bilinear identities in divergence form. The method of reverse Hölder inequalities is used next to prove continuity

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1 Dedicated to Ludwig Elsner on the occasion of his sixtieth birthday We describe canonical forms for elements of a classical Lie group of matrices under similarity transformations in the group. Matrices in the associated Lie algebra and Jordan algebra of matrices inherit related forms under these similarity transforma-tions. In general, one cannot achieve diagonal or Schur form, but the form that can be achieved displays the eigenvalues of the matrix. We also discuss matrices in in-tersections of these classes and their Schur-like forms. Such multistructered matrices arise in applications from quantum physics and quantum chemistry. 1

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Responses of soil biological processes to elevated atmospheric [CO2] and nitrogen addition in a poplar plantation

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