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- Christian Maes, Frank Redig, Floris Takens, Annelies van Moffaert, Evgeny Verbitski
- 1999

We show that the natural invariant state for Manneville–Pomeau maps can be characterized as a weakly Gibbsian state. In this way we make a connection between the study of intermittency via non-uniformly expanding maps and the thermodynamic formalism for nonuniformly convergent interactions. AMS classification scheme numbers: 37C40, 82B20

We present a definition of entropy production rate for classes of deterministic and stochastic dynamics. The point of departure is a Gibbsian representation of the steady state path space measure for which ‘‘the density’’ is determined with respect to the time-reversed process. The Gibbs formalism is used as a unifying algorithm capable of incorporating… (More)

- C. Maes, F. Redig, A. Van Moffaert
- 1998

We discuss the status of recent Gibbsian descriptions of the restriction (projection) of the Ising phases to a layer. We concentrate on the projection of the two-dimensional low temperature Ising phases for which we prove a variational principle. Key-words : non-Gibbsian states, variational principle, projections, weakly Gibbsian measures.

Creep experiments on cellular glass under a constant compressive load are monitored by acoustic emission. The statistical analysis of the acoustic signals emitted by the sample while stress is being internally redistributed shows that the distribution of amplitudes follows a power law, N(A);A, with b52.0 independent of the load. Similarly, the interarrival… (More)

- D. De Vleeschauwer, M.J.C. Büchli, A. Van Moffaert, Francis Wellesplein
- 2005

Packet-based networks are more and more used to transport interactive streaming services like telephony and videophony. To guarantee a good quality for these services, the queuing delay and delay jitter introduced in the transport of voice or video flows over the packet-based network should be kept under control. Because data sources tend to increase their… (More)

This paper discusses resource allocation and management in Differentia ted Services (DiffServ) networks, particularly in the context of IP telephony. We assume that each node uses Weighted Fair Queuing (WFQ) schedulers in order to provide Quality of Service (QoS) to aggregates of traffic. All voice traffic destined for a certain output interface is… (More)

We present a unified approach to establishing the Gibbsian character of a wide class of non-Gibbsian states, arising in the Renormalisation Group theory. Inside the realm of the Pirogov–Sinai theory for lattice spin systems, we prove that RG transformations applied to low temperature phases give rise to weakly Gibbsian measures. In other words, we show that… (More)

We discuss restrictions of two-dimensional translation-invariant Gibbs measures to a one-dimensional layer. We prove that there exists a translation invariant a.s. absolutely convergent potential making these restrictions into weakly Gibbsian measures. We discuss the existence of the thermodynamic functions for this potential and the variational principle… (More)

- D. De Vleeschauwer, A. Van Moffaert, +5 authors Francis Wellesplein
- 2001

To determine the voice load that can be supported by a packet-based node, we study the MMBP/D/1 model. Using this load the number of phones that can be supported by that node is calculated. We investigate the case of homogeneous and heterogeneous traffic and phones with and without silence suppression, and study the impact of the link rate, the activity… (More)

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