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Showing 2012 · math.PRShow all
3 papers · 2 filters
math.PR2012
Empirical processes of iterated maps that contract on average
Olivier Durieu
We consider a Markov chain obtained by random iterations of Lipschitz maps chosen with a probability depending on the current position . We assume this system has…
math.PR2012
Some exact asymptotics in the counting of walks in the quarter-plane
Guy Fayolle, Kilian Raschel
Enumeration of planar lattice walks is a classical topic in combinatorics, at the cross-roads of several domains (e.g., probability, statistical physics, computer science). The aim…
math.PR2012★ 8 cited
Approximating class approach for empirical processes of dependent sequences indexed by functions
Herold Dehling, Olivier Durieu, Marco Tusche
We study weak convergence of empirical processes of dependent data , indexed by classes of functions. Our results are especially suitable for data arising from dyna…