List of Recent Publications

Christopher K. King, Professor of Mathematics

  1. (K. Duffy, C. King and D. Malone) Ambiguities in estimates of critical exponents for long-range dependent processes, Physica A, 377, 43--52 (2007).
  2. (K. Duffy, C. King and D. Malone) Some Remarks on LD Plots for Heavy-Tailed Traffic, ACM SIGCOMM Computer Communications Review, 37, no. 1, 41--42 (2007).
  3. (R. Shorten, F. Wirth. C. King and D. Leith) Modelling TCP congestion control dynamics in drop-tail environments, Automatica 43, Issue 3, 441--449 (2007).
  4. (C. King, K. Matsumoto, M. Nathanson, M. B. Ruskai) Properties of Conjugate Channels with Applications to Additivity and Multiplicativity, Markov Processes and Related Fields, volume 13, no. 2, 391 -- 423 (2007).
  5. (R. Shorten, F. Wirth, O. Mason, K. Wulff, C. King) Stability criteria for switched and hybrid systems, SIAM Review 49, Issue 4, 545 -- 592 (2007).
  6. (C. King and D. Matysiak) On the existence of LOCC-distinguishable bases in three-dimensional subspaces of bipartite 3 x n systems, J. Phys. A: Math. Theor. 40 7939-7944 (2007).
  7. (R. Shorten, F. Wirth, C. King and M. Akar) Growth conditions for the global stability of highspeed communication networks with a single congested link, IEEE Transactions on Automatic Control, vol. 53, Issue 7, 1770-1774 (2008).
  8. (C. King, O. Mason and R. Shorten) An alternative proof of the Barker, Berman, Plemmons (BPP) result on diagonal stability and extensions, Linear Algebra and its Applications, vol. 430(1), 34-40 (2009).
  9. (C. King, M. Corless and R. Shorten) A convergence result on nonlinear dynamics arising in highspeed networking, Automatica, vol. 45, Issue 5, 1207-1214 (2009).
  10. (W. Griggs, C. King, R. Shorten, O. Mason, K. Wulff), Quadratic Lyapunov functions for systems with state-dependent switching, Linear Algebra and its Applications 433, 52-63 (2010).
  11. (M. Fukuda, C. King and D. Moser) Comments on Hastings' Additivity Counterexamples, Commun. Math. Phys., vol. 296, no. 1, 111 (2010).
  12. (C. King, W. M. Griggs, R. Shorten) A Kalman-Yacubovich-Popov-Type Lemma for Systems with Certain State-Dependent Constraints, Automatica vol. 47, 2107-2111 (2011).
  13. (M. Fukuda and C. King) Entanglement of random subspaces via the Hastings bound, J. Math. Phys. vol. 51, 042201 (2010).
  14. Remarks on the additivity conjectures for quantum channels, Contemporary Mathematics Vol. 529, 177-188 (2010).
  15. Conditions for quadratic stability of a multi-parameter switching system, Journal of Nonlinear Systems and Applications, vol. 2, 26-34 (2011).
  16. (C. King and D. Moser) Average output entropy for quantum channels, J. Math. Phys. vol. 52, 112202 (2011).
  17. (E. Bayraktaroglu, C. King, X. Liu, G. Noubir, R. Rajaraman, B. Thapa) Performance of IEEE 802.11 under Jamming, Mobile Networks and Applications (online), (2011).
  18. (King, C., Barbiellini, B., Moser, D., Renugopalakrishnan, V.) Exactly soluble model of resonant energy transfer between molecules, Phys. Rev. B 85, 125106 (2012).
  19. (C. King and N. Koldan) Comparison of matrix norms on bipartite spaces, Journal of Operator Theory, Volume 67, Issue 2, pp. 561-580 (2012).
  20. (A. Berman, C. King and R. Shorten) A characterization of common diagonal stability over cones, Linear and Multilinear Algebra, vol. 60, Issue 10, 1117-1123 (2012).
  21. (C. King and R. Shorten) An extension of the KYP-lemma for the design of state-dependent switching systems with uncertainty, Systems & Control Letters vol. 62 , pp. 626-631 (2013).