In Preparation
Asaf Ferber, Kyle Luh, Gweneth McKinley, and Wojciech Samotij. In Preparation. “Some Problems on Random Discrete Matrices”.
K. Luh. In Preparation. “Condition Number of Sparse Random Matrices”.
A. Ferber, G. Kronenberg, and K. Luh. Submitted. “Optimal Threshold for a Random Graph to be 2-Universal”. Pre-print
Kyle Luh and Van Vu. Submitted. “Sparse Random Matrices have Simple Spectrum”. Pre-print
A. Ferber, K. Luh, D. Montealegre, and O. Nguyen. 8/1/2017. “Packing Loose Hamilton Cycles.” Combinatorics, Probability and Computing. Publisher's Version
A. Ferber, K. Luh, and O. Nguyen. 7/10/2017. “Embedding Large Graphs into a Random Graph.” Bulletin of the London Mathematical Society. Publisher's Version
Kyle Luh. 2017. “Complex Random Matrices have no Real Eigenvalues.” Random Matrices: Theory and Applications. Publisher's Version
K. Luh and V. Vu. 1/12/2016. “ Dictionary Learning With Few Samples and Matrix Concentration.” IEEE Transactions on Information Theory, 62, 3, Pp. 1516 - 1527. Publisher's Version
K. Luh and V. Vu. 12/17/2015. “ Random Matrices: l1 Concentration and Dictionary Learning with Few Samples.” Fundamentals of Computer Science IEEE 56th Annual Symposium on Foundations of Computer Science.
K. Luh and N. Pippenger. 5/2014. “Large-Deviation Bounds for Sampling without Replacement.” The American Mathematical Monthly, 121, 5, Pp. 449-454. Publisher's Version
Y. van Gennip, B. Hunter, R. Ahn, P. Elliot, K. Luh, M. Halvorson, S. Reid, M. Valasik, J. Wo, G. Tita, A. Bertozzi, and P. Brantingham. 2013. “Community Detection Using Spectral Clustering on Sparse Geosocial Data.” SIAM Journal of Applied Mathematics, 73, 1, Pp. 67-83. Publisher's Version
E. Ding, K. Luh, and J. Kutz. 2/25/2011. “Stability analysis of cavity solitons governed by the cubic-quintic Ginzburg–Landau equation.” Journal of Physics B: Atomic, Molecular and Optical Physics, 44, 6. Publisher's Version