A simple fluctuation lower bound for a disordered massless random continuous spin model in .
A single-server queue with random accumulation level.
A spectral approach to compute the mean performance measures of the queue with low-order BMAP input.
A stochastic complex network model society.
A stochastic inventory model with perishable and aging items.
A stochastic min-driven coalescence process and its hydrodynamical limit
A stochastic system of particles is considered in which the sizes of the particles increase by successive binary mergers with the constraint that each coagulation event involves a particle with minimal size. Convergence of a suitably renormalized version of this process to a deterministic hydrodynamical limit is shown and the time evolution of the minimal size is studied for both deterministic and stochastic models.
A stochastic Paris-Erdogan model for fatigue crack growth using two-state model.
A superprocess involving both branching and coalescing
A super-stable motion with infinite mean branching
A survey of random processes with reinforcement.
A symmetric entropy bound on the non-reconstruction regime of Markov chains on galton-watson trees.
A transportation system viewed as a queueing system
A two-level open queue network with blocking and feedback
A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit
We consider the coarse-graining of a lattice system with continuous spin variable. In the first part, two abstract results are established: sufficient conditions for a logarithmic Sobolev inequality with constants independent of the dimension (Theorem 3) and sufficient conditions for convergence to the hydrodynamic limit (Theorem 8). In the second part, we use the abstract results to treat a specific example, namely the Kawasaki dynamics with Ginzburg–Landau-type potential.
A unified cost function for M/G/1 queueing systems with removable server.
This article deals with the three classic policies for an M/G/1 queueing system (N, T, and D-policy). The optimum policies were compared in several precedent studies, but the comparison was performed employing different cost functions, so that the D-policy is superior to the N-policy when the cost function is based on the mean work-load, whilst the average queue length is used to show the superiority of the N-policy over the T-policy. In order to achieve a comparison of the three policies under...
A universality property for last-passage percolation paths close to the axis.
A version of the Harris-Spitzer "random constant velocity" model for infinite systems of particles
AB percolation: a brief survey
About secretary problems
About the stationary states of vortex systems