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1996

1995

  • Large deviations and overflow probabilities for the general single server queue, with applications. N.G. Duffield & Neil O’Connell. Math. Proc. Cam. Phil. Soc., 118, 363-374 (1995).
  • Large deviations, economies of scale, and the shape of the loss curve in large multiplexers. D.D. Botvich & N.G. Duffield. Queueing Systems., 20, 293-320 (1995).
  • Economies of scale in long and short buffers of large multiplexers. D.D. Botvich, T.J. Corcoran, N.G. Duffield & P. Farrell. Proceedings of 12th IEE UK Teletraffic Symposium, Windsor, 15-17 March 1995, IEE London (1995)
  • Predicting Quality of Service for traffic with long-range fluctuations. N.G. Duffield, J.T. Lewis, Neil O’Connell, Raymond Russell & Fergal Toomey. Proceedings of IEEE International Conference on Communications, Seattle, 18-22 June, 1995, pp473-477.
  • Entropy of ATM traffic streams: a tool for estimating quality of service parameters. N.G. Duffield, J.T. Lewis, Neil O’Connell, Raymond Russell & Fergal Toomey. IEEE Journal  on Selected Areas in Communications, 13, 981-990 (1995)
  • Estimating QoS parameters for ATM traffic using its entropy. N.G. Duffield, J.T. Lewis, Neil O’Connell, Raymond Russell & F. Toomey. In: Performance Modelling and Evaluation of ATM Networks, Volume 1, pp411-427, Chapman & Hall, London, (1995).
  • Fast bounds for ATM Quality of Service parameters. N.G. Duffield, M. Huggard, R. Russell, F. Toomey & C. Walsh. Proceedings of 12th IEE UK Teletraffic Symposium. Windsor, 15-17 March 1995, IEE London (1995)
  • Allocating bandwidth from traffic descriptors of ATM traffic. D.D. Botvich, T. Curran, N.G. Duffield & S. Murphy. Proceedings of the 3rd workshop on performance modelling and evaluation of ATM networks, Bradford, 3-5 July. (1995)

1994

  • Large deviations for arrivals, departures and overflow in some queues of interacting traffic. N.G. Duffield & N. O’Connell. Proceedings of 11th IEE UK Teletraffic Symposium. Cambridge, March 1994, IEE London (1994)
  • Statistical issues raised by the Bellcore data. N.G. Duffield, J.T. Lewis, N. O’Connell, R. Russell & F. Toomey. Proceedings of 11th IEE UK Teletraffic Symposium. Cambridge, March 1994, IEE London (1994)
  • The entropy of an arrival process: a tool for estimating QoS parameters of ATM traffic. N.G. Duffield, J.T. Lewis, N. O’Connell, R. Russell & F. Toomey. Proceedings of 11th IEE UK Teletraffic Symposium. Cambridge, March 1994, IEE London (1994).
  • Exponential upper bounds via martingales for multiplexers with Markovian arrivals. E.Buffet & N.G. Duffield. J. Appl. Prob., 31, 1049-1061 (1994)
  • Exponential bounds for queues with Markovian arrivals. N.G. Duffield. Queueing Systems, 17, 413-430 (1994)

1992

  • Local mean-field Markov processes: an application to message-switching networks. N.G. Duffield. Prob. Theory Relat. Fields., 93, 485-505 (1992).
  • Microscopic and macroscopic limiting dynamics of a class of inhomogeneous mean-field quantum systems. N.G. Duffield, H. Roos & R.F. Werner. Ann. Inst. H. Poincare: Physique Theorique, 56, 143-186 (1992)
  • Classical hamiltonian dynamics for quantum hamiltonian mean-field limits. N.G. Duffield & R.F. Werner. In: Stochastics and Quantum Mechanics, (Eds. I.M.Davies & A.Truman). Singapore: World Scientific, pp115-129 (1992).
  • Local dynamics of mean-field quantum systems. N.G. Duffield & R.F. Werner. Helv. Phys. Acta, 65, 1016-1054 (1992)
  • Mean-field dynamical semigroups on C*-algebras. N.G. Duffield & R.F. Werner. Rev. Math. Phys., 4, 383-424 (1992)

1991

  • Local correlation functions for mean-field dynamical semigroups on C*-algebras. N.G. Duffield. Helv. Phys. Acta., 64, 610-632 (1991)

1990

1989

  • Thermodynamics and phase transitions in the Overhauser model. N.G. Duffield & J.V. Pule. J. Stat. Phys., 54, 449-475 (1989).
  • The thermodynamics of site-random mean-field quantum spin systems. N.G. Duffield & R. Kuehn. J. Phys. A.: Math., Gen. 22, 4643-4658 (1989).

1988

  • A new method for the thermodynamics of the B.C.S. model. N.G. Duffield & J.V. Pule. Commun. Math. Phys., 118, 475-494 (1988)
  • Global stability of condensation in the continuum limit for H. Froehlich’s pumped phonon system. N.G. Duffield. J. Phys. A: Math. Gen., 21, 625-641 (1988).
  • The continuum limit of dissipative dynamics in H. Froehlich’s pumped phonon system. N.G. Duffield. Helv. Phys. Acta, 61, 363-378 (1988)

1987

  • Thermodynamics of the B.C.S. model through large deviations. N.G. Duffield & J.V. Pule Lett. Math. Phys., 14, 329-331 (1987).

1985

  • Stability of Bose-Einstein condensation in H. Froehlich’s pumped phonon system. N.G. Duffield. Phys. Lett., A110, 332-334 (1985).