J. T. Lewis, R. Russell, W. G. Sullivan, Ecole Polytechnique F'ed'erale
Abstract: We consider a stationary source emitting letters from a finite alphabet A. The source is described by a stationary probability measure ff on the space\Omega
Estimating QoS Parameters For Atm Traffic Using Its Entropy (2007)
N.G. Duffield, J.T. Lewis, Neil O'Connell, Raymond Russell, F.Toomey
Introduction How will ATM carriers allocate the band-width required to guarantee the quality-of-service promised in their customer contracts? How can customers exploit to their advantage the tariff...
Brownian Motion on a submanifold of Euclidean Space (2006)
A martingale characterization of Brownian motion on a submanifold of Euclidean space is proved and the implications of the consequent martingale representation are discussed.
Predicting bandwidth requirements of ATM and Ethernet traffic (1996)
Simon Crosby, Ian Leslie, Meriel Huggard, J. T. Lewis, Brian McGurk, Raymond Russell
In this paper, a technique based on the on-line estimation of the entropy of a traffic stream is proposed for the prediction of bandwidth requirements. We report on the results of experiments...
Predicting bandwidth requirements of ATM and Ethernet traffic (1996)
Simon Crosby, Ian Leslie, Meriel Huggard, J.T. Lewis, Brian Mcgurk, Raymond Russell
In this paper, a technique based on the on-line estimation of the entropy of a traffic stream is proposed for the prediction of bandwidth requirements. We report on the results of experiments...
Predicting Quality of Service for Traffic with Long-Range Fluctuations (1995)
N.G. Duffield, J.T. Lewis, Neil O'Connell, Raymond Russell, Fergal Toomey
We present the tail asymptotics in a queue serviced at constant rate and whose input process has long-range dependence, for example, fractional Brownian Motion (fBM) with Hurst parameter H ? 1=2....
Entropy Of ATM Traffic Streams: A Tool For Estimating QoS Parameters (1995)
N.G. Duffield, J.T. Lewis, Neil O'Connell, Raymond Russell, Fergal Toomey
this paper, we are concerned with the components of cell-loss and cell-delay which are attributable to a single buffer of finite size. The QoS parameters we are concerned with are:
Large Deviations And The Thermodynamic Formalism: A New Proof Of The Equivalence of Ensembles (1994)
: equivalence of ensembles holds at the level of measures whenever it holds at the level of thermodynamic functions. The problem of the equivalence of ensembles is not confined to statistical...
Statistical issues raised by the Bellcore data (1994)
N.G. Duffield, J.T. Lewis, Neil O'Connell, Raymond Russell, Fergal Toomey
Introduction There has been a recent surge of literature claiming that "Ethernet traffic is selfsimilar " and possesses long range dependence [12, 13, 14]; similar claims have been made...
Thermodynamic Probability Theory: Some Aspects Of Large Deviations (1993)
this paper. The probability measures which are studied in the theory of large deviations are the distributions of random variables taking values in a topological space X, so that they are measures on...
Independent oscillator model of a heat bath: Exact diagonalization of the Hamiltonian (1988)
O'Connell, R. F., Lewis, J. T., Ford, G. W.
The problem of a quantum oscillator coupled to an independent-oscillator model of a heat bath is discussed. The transformation to normal coordinates is explicitly constructed using the method of...
Ford, G. W., Lewis, J. T., O'Connell, R. F.
An earlier exact result (Phys. Rev. Lett. 55 (1985), 2273) for the free energy of an oscillatordipole interacting with the radiation field is obtained using the fluctuation-dissipation theorem. A key...
Dissipative quantum tunneling: quantum Langevin equation approach (1988)
Ford, G. W., Lewis, J. T., O'Connell, R. F.
The quantum Langevin equation is used as the basis for a discussion of dissipative quantum tunneling. A general analysis, including strong coupling and non-markovian (memory) effects, is given for...
On the thermodynamics of quantum-electrodynamic frequency shifts (1987)
Ford, G. W., Lewis, J. T., O'Connell, R. F.
A paper by Barton (ibid., vol.20, p.879, 1987) comments on some of Ford et al.'s recent work in this general area and takes issue with some of their conclusions. Ford et al. point out that Barton's...
Thesis (M.A.)--Victoria University College, 1949.