Palm theory for random time changes.
Parabolic Harnack inequality and local limit theorem for percolation clusters.
Parallel probabilistic searching and sorting algorithms
Parallelization algorithms for modeling ARM processes.
Percolation beyond , many questions and a few answers.
Percolation of arbitrary words on the close-packed graph of .
Percolation on fuchsian groups
Percolation on nonamenable products at the uniqueness threshold
Percolation, Perimetry, Planarity.
Percolation times in two-dimensional models for excitable media.
Percolation transition for some excursion sets.
Performance analysis of single server non-markovian retrial queue with working vacation and constant retrial policy
This paper analyses an M/G/1 retrial queue with working vacation and constant retrial policy. As soon as the system becomes empty, the server begins a working vacation. The server works with different service rates rather than completely stopping service during a vacation. We construct the mathematical model and derive the steady-state queue distribution of number of customer in the retrial group. The effects of various performance measures are derived.
Perturbations ponctuelles d'évolutions : construction d'espaces stationnaires
Perturbed and non-perturbed brownian taboo processes
Perturbing the hexagonal circle packing: a percolation perspective
We consider the hexagonal circle packing with radius and perturb it by letting the circles move as independent Brownian motions for time . It is shown that, for large enough , if is the point process given by the center of the circles at time , then, as , the critical radius for circles centered at to contain an infinite component converges to that of continuum percolation (which was shown – based on a Monte Carlo estimate – by Balister, Bollobás and Walters to be strictly bigger than...
Perturbing transient random walk in a random environment with cookies of maximal strength
We consider a left-transient random walk in a random environment on that will be disturbed by cookies inducing a drift to the right of strength 1. The number of cookies per site is i.i.d. and independent of the environment. Criteria for recurrence and transience of the random walk are obtained. For this purpose we use subcritical branching processes in random environments with immigration and formulate criteria for recurrence and transience for these processes.
Phase coexistence in Ising, Potts and percolation models
Phase diagram of the Potts model in an external magnetic field
Phase transition and Martin boundary
Phase transition for the frog model.