Factorization of the distribution function of waiting time
Factorizations of the sojourn times of semi-Markov random walks.
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Finite buffer GI/Geo/ 1 batch servicing queue with multiple working vacations
This paper analyzes a discrete-time finite buffer renewal input queue with multiple working vacations where services are performed in batches of maximum size “b”. The service times both during a regular service period and vacation period and vacation times are geometrically distributed. Employing the supplementary variable and imbedded Markov chain techniques, we derive the steady-state queue length distributions at pre-arrival, arbitrary and outside observer’s observation epochs. Based on the queue...
Finite volume approximation of the effective diffusion matrix : the case of independent bond disorder
Finite-size scaling in percolation.
Fires on trees
We consider random dynamics on the edges of a uniform Cayley tree with vertices, in which edges are either flammable, fireproof, or burnt. Every flammable edge is replaced by a fireproof edge at unit rate, while fires start at smaller rate on each flammable edge, then propagate through the neighboring flammable edges and are only stopped at fireproof edges. A vertex is called fireproof when all its adjacent edges are fireproof. We show that as , the terminal density of fireproof vertices converges...
First excess levels of vector processes.
First hitting time and place, monopoles and multipoles for pseudo-processes driven by the equation .
First occurrence time of a large density fluctuation for a system of independent random walks
First passage processes in queueing system with service delay discipline.
First-passage competition with different speeds: positive density for both species is impossible.
First-passage percolation on width-two stretches with exponential link weights.
Fitting traffic traces with discrete canonical phase type distributions and markov arrival processes
Fluctuation limit theorems for age-dependent critical binary branching systems
We consider an age-dependent branching particle system in ℝd, where the particles are subject to α-stable migration (0 < α ≤ 2), critical binary branching, and general (non-arithmetic) lifetimes distribution. The population starts off from a Poisson random field in ℝd with Lebesgue intensity. We prove functional central limit theorems and strong laws of large numbers under two rescalings: high particle density, and a space-time rescaling...
Fluctuations des temps d'occupation d'un site dans l'exclusion simple symétrique
Fluctuations in a p-spin interaction model
Fluctuations of a surface submitted to a random average process.
Fluctuations of the empirical entropies of a chain of infinite order.
Fluctuations of the front in a stochastic combustion model