List of Recent Publications
Christopher K. King, Professor of Mathematics
- (K. Duffy, C. King and D. Malone)
Ambiguities in estimates of critical exponents for long-range dependent processes,
Physica A, 377, 43--52 (2007).
- (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).
- (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).
- (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).
- (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).
- (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).
- (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).
- (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).
- (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).
- (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).
- (M. Fukuda, C. King and D. Moser) Comments on Hastings' Additivity Counterexamples,
Commun. Math. Phys., vol. 296, no. 1, 111 (2010).
- (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).
- (M. Fukuda and C. King) Entanglement of random subspaces via the Hastings bound,
J. Math. Phys. vol. 51, 042201 (2010).
- Remarks on the additivity conjectures for quantum channels,
Contemporary Mathematics Vol. 529, 177-188 (2010).
- Conditions for quadratic stability of a multi-parameter switching system,
Journal of Nonlinear Systems and Applications, vol. 2, 26-34 (2011).
- (C. King and D. Moser) Average output entropy for quantum channels,
J. Math. Phys. vol. 52, 112202 (2011).
- (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).
- (King, C., Barbiellini, B., Moser, D., Renugopalakrishnan, V.) Exactly soluble model of resonant energy transfer between molecules,
Phys. Rev. B 85, 125106 (2012).
- (C. King and N. Koldan) Comparison of matrix norms on bipartite spaces,
Journal of Operator Theory, Volume 67, Issue 2, pp. 561-580 (2012).
- (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).
- (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).