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Determining the feasibility conditions for vector space interference alignment in the K-user MIMO interference channel with constant channel coefficients has attracted much recent attention yet remains unsolved. The main result of this paper is restricted to the symmetric square case where all transmitters and receivers have N antennas, and each user… (More)

— We study vector space interference alignment for the multiple-input multiple-output interference channel with no time or frequency diversity, and no symbol extensions. We prove both necessary and sufficient conditions for alignment. In particular, we characterize the feasibility of alignment for the symmetric three-user channel where all users transmit… (More)

- G Bresler, D Cartwright, D Tse, Guy Bresler, Dustin Cartwright, David Tse
- 2013

Determining the feasibility conditions for vector space interference alignment in the K-user MIMO interference channel with constant channel coefficients has attracted much recent attention yet remains unsolved. The main result of this paper is restricted to the symmetric square case where all transmitters and receivers have N antennas, and each user… (More)

—This paper studies vector space interference alignment for the three-user MIMO interference channel with no time or frequency diversity. The main result is a characterization of the feasibility of interference alignment in the symmetric case where all transmitters have M antennas and all receivers have N antennas. If N ≥ M and all users desire d transmit… (More)

—We study vector space interference alignment for the MIMO interference channel with no time or frequency diversity. We prove both necessary and sufficient conditions for alignment. In particular, we characterize the feasibility of alignment for the symmetric three-user channel where all transmitters have M antennas and all receivers have N antennas, as… (More)

We have developed an integrated map from five elite cultivars of Vitis vinifera L.; Syrah, Pinot Noir, Grenache, Cabernet Sauvignon and Riesling which are parents of three segregating populations. A new source of markers, SNPs, identified in ESTs and unique BAC-end sequences was added to the available IGGP reference set of SSRs. The complete integrated map… (More)

Let C be a curve over a complete valued field with infinite residue field whose skeleton is a chain of loops with generic edge lengths. We prove that any divisor on the chain of loops that is rational over the value group lifts to a divisor of the same rank on C, confirming a conjecture of Cools, Draisma, Robeva, and the third author.

The diagonal in a product of projective spaces is cut out by the ideal of 2×2-minors of a matrix of unknowns. The multigraded Hilbert scheme which classifies its degenerations has a unique Borel-fixed ideal. This Hilbert scheme is generally reducible, and its main component is a compactification of PGL(d) n /PGL(d). For n = 2 we recover the man-ifold of… (More)

- G Bresler, D Cartwright, D Tse, Guy Bresler, Dustin Cartwright, David Tse
- 2013

—We study vector space interference alignment for the MIMO interference channel with no time or frequency diversity. We prove both necessary and sufficient conditions for alignment. In particular, we characterize the feasibility of alignment for the symmetric three-user channel where all transmitters have M antennas and all receivers have N antennas, as… (More)

- J Zachary Gaslowitz, Dagan Karp, Dustin Cartwright
- 2013

The author grants Harvey Mudd College and the Claremont Colleges Library the nonexclusive right to make this work available for noncommercial, educational purposes, provided that this copyright statement appears on the reproduced materials and notice is given that the copying is by permission of the author. To disseminate otherwise or to republish requires… (More)