5 citations · 12 across the 10 of their papers we have counts for
6 papers · 1 filter
The number of distinct adjacent pairs in geometrically distributed words: a probabilistic and combinatorial analysis
Guy Louchard, Werner Schachinger, Mark Daniel Ward
The analysis of strings of random variables with geometric distribution has recently attracted renewed interest: Archibald et al. consider the number of distinct adjacent pairs…
Traffic lights, clumping and QBDs
Steven Finch, Guy Latouche, Guy Louchard +1
In discrete time, -blocks of red lights are separated by -blocks of green lights. Cars arrive at random. \ We seek the distribution of maximum line length of idle cars,…
Traffic Light Queues and the Poisson Clumping Heuristic
Steven Finch, Guy Louchard
In discrete time, -blocks of red lights are separated by -blocks of green lights. Cars arrive at random. We seek the distribution of maximum line length of idle cars, a…
Some large polyominoe's perimeter: a stochastic analysis
Guy Louchard
In this paper, we analyze the stochastic properties of some large size (area) polyominoe's perimeter such that the directed column-convex polyomino, the column-convex polyomino, th…
The maximum of Brownian motion with parabolic drift
Svante Janson, Guy Louchard, Anders Martin-Löf
We study the maximum of a Brownian motion with a parabolic drift; this is a random variable that often occurs as a limit of the maximum of discrete processes whose expectations hav…
Tail estimates for the Brownian excursion area and other Brownian areas
Svante Janson, Guy Louchard
Several Brownian areas are considered in this paper: the Brownian excursion area, the Brownian bridge area, the Brownian motion area, the Brownian meander area, the Brownian double…