The single server queue with Erlang input and semi-Markov service times
The size of a pond in 2D invasion percolation.
The spatial -coalescent.
The spectral gap for a Glauber-type dynamics in a continuous gas
The spread of a catalytic branching random walk
We consider a catalytic branching random walk on that branches at the origin only. In the supercritical regime we establish a law of large number for the maximal position : For some constant , almost surely on the set of infinite number of visits of the origin. Then we determine all possible limiting laws for as goes to infinity.
The stationary G/G/ queue.
The stationary G/G/ queue with non-identical servers.
The stationary local sojourn time in single server tandem queues with renewal input.
The stationary waiting time and other variables in single-server queues with specialities at the beginning of a busy period
The statistical equilibrium of an isotropic stochastic flow with negative Lyapounov exponents is trivial
The superposition of two independent Markov renewal processes
The survival probability for critical spread-out oriented percolation above dimensions. II. Expansion
The theory of networks of single server queues and the tandem queue model.
The time constant and critical probabilities in percolation models.
The time constant vanishes only on the percolation cone in directed first passage percolation.
The time for a critical nearest particle system to reach equilibrium starting with a large gap.
The transient M/G/1/0 queue: Some bounds and approximations for light traffic with application to reliability.
The triangle and the open triangle
We show that for percolation on any transitive graph, the triangle condition implies the open triangle condition.
The Truncated Hyper-Poisson Queues: With Balking, Reneging and General Bulk Service Rule
The unscaled paths of branching brownian motion
For a set A ⊂ C[0, ∞), we give new results on the growth of the number of particles in a branching Brownian motion whose paths fall within A. We show that it is possible to work without rescaling the paths. We give large deviations probabilities as well as a more sophisticated proof of a result on growth in the number of particles along certain sets of paths. Our results reveal that the number of particles can oscillate dramatically. We also obtain new results on the number of particles near the...