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Showing 2007 · math.PRShow all
3 papers · 2 filters
math.PR2007
Asymptotic regimes for the occupancy scheme of multiplicative cascades
Jean Bertoin
In the classical occupancy scheme, one considers a fixed discrete probability measure and throws balls independently at random in boxes labeled by $…
math.PR2007
Limit laws for k-coverage of paths by a Markov-Poisson-Boolean model
Srikanth K. Iyer, D. Manjunath, D. Yogeshwaran
Let P := {X_i,i >= 1} be a stationary Poisson point process in R^d, {C_i,i >= 1} be a sequence of i.i.d. random sets in R^d, and {Y_i^t; t \geq 0, i >= 1} be i.i.d. {0,1}-valued co…
math.PR2007
Stationary flows and uniqueness of invariant measures
Francois Baccelli, Takis Konstantopoulos
In this short paper, we consider a quadruple ,where is a -algebra of subsets of , and is a measurable bijection from into itself that preserves the…