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 non-uniformly convergent interactions.
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)ϳA Ϫ␤ , with ␤ϭ2.0 independent of the load. Similarly, the… (More)
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)
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 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.
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)