Standard stochastic coalescence with sum kernels.
State classification for a class of interacting superprocesses with location dependent branching.
State dependent multitype spatial branching processes and their longtime behavior.
State space collapse for queueing networks.
Stationary inequalities for dams with content-dependent release rate
Stationary measures and phase transition for a class of probabilistic cellular automata
We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models.
Stationary measures and phase transition for a class of Probabilistic Cellular Automata
We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models.
Statistical inference on the traffic intensity for the M/M/ queueing system.
Statistical properties of the Ejgielies model of a cogged bit
Statistical study of Navier-Stokes equations, I
Steady state and scaling limit for a traffic congestion model
In a general model (AIMD) of transmission control protocol (TCP) used in internet traffic congestion management, the time dependent data flow vector x(t) > 0 undergoes a biased random walk on two distinct scales. The amount of data of each component xi(t) goes up to xi(t)+a with probability 1-ζi(x) on a unit scale or down to γxi(t), 0 < γ < 1 with probability ζi(x) on a logarithmic scale, where ζi depends on the joint state of the system x. We investigate the long time behavior, mean field...
Steady-state distributions of piecewise Markov processes
Steady-state distributions of queue length in the GI/G/s queue
Stein’s method in high dimensions with applications
Let be a three times partially differentiable function on , let be a collection of real-valued random variables and let be a multivariate Gaussian vector. In this article, we develop Stein’s method to give error bounds on the difference in cases where the coordinates of are not necessarily independent, focusing on the high dimensional case . In order to express the dependency structure we use Stein couplings, which allows for a broad range of applications, such as classic occupancy,...
Stimuli-Responsive Polymers in Nanotechnology: Deposition and Possible Effect on Drug Release
Stimuli-responsive polymers result in on-demand regulation of properties and functioning of various nanoscale systems. In particular, they allow stimuli-responsive control of flow rates through membranes and nanofluidic devices with submicron channel sizes. They also allow regulation of drug release from nanoparticles and nanofibers in response to temperature or pH variation in the surrounding medium. In the present work two relevant mathematical models are introduced to address precipitation-driven...
Stochastic analysis of a three unit standby system.
Stochastic analysis of the departure and quasi-input processes in a versatile single-server queue.
Stochastic approximations of the solution of a full Boltzmann equation with small initial data
Stochastic approximations of the solution of a full Boltzmann equation with small initial data
This paper gives an approximation of the solution of the Boltzmann equation by stochastic interacting particle systems in a case of cut-off collision operator and small initial data. In this case, following the ideas of Mischler and Perthame, we prove the existence and uniqueness of the solution of this equation and also the existence and uniqueness of the solution of the associated nonlinear martingale problem. Then, we first delocalize the interaction by considering a mollified Boltzmann...
Stochastic behaviour of a complex system with bulk failure and priority repairs