Dustin Cartwright

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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)
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(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 well(More)
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)
Rhizoctonia stem rot of poinsettia caused by Rhizoctonia solani is controlled by strain 5.5B of Pseudomonas cepacia when poinsettia cuttings are rooted in polyfoam rooting cubes. Experiments were conducted to isolate and characterize secondary metabolites from strain 5.5B that were inhibitory towards R. solani. Inhibitory compounds were detected in(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.
Suspensions of Pseudomonas cepacia (strain 5.5B) and Paecilomyces lilacinus (isolate 6.2F) were applied to polyfoam rooting cubes for control of stem rot of poinsettia caused by Rhizoctonia solani. The populations of antagonists and colonization of rooting cubes by R. solani were monitored during a 3-week period. Colonization of cubes by R. solani was(More)
A tensor singular value decomposition based upon the *-product defined on third-order tensors by Kilmer, Martin and Perrone provides an effective means of generalizing Principal Component Analysis. This talk will focus on tensor eigendecompostions and generalized eigendecompostions under the *-product. Discusion will include an overview of the theoretical(More)
We introduce and study three different notions of tropical rank for symmetric matrices and dissimilarity matrices in terms of minimal decompositions into rank 1 symmetric matrices, star tree matrices, and tree matrices. Our results provide a close study of the tropical secant sets of certain nice tropical varieties, including the tropical Grassmannian. In(More)