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Showing 2016 · math.PRShow all
2 papers · 2 filters
math.PR2016★ 1 cited
Refined large deviations asymptotics for Markov-modulated infinite-server systems
Joke Blom, Koen De Turck, Michel Mandjes
Many networking-related settings can be modeled by Markov-modulated infinite-server systems. In such models, the customers' arrival rates and service rates are modulated by a Marko…
math.PR2016★ 5 cited
Random walks and branching processes in correlated Gaussian environment
Frank Aurzada, Alexis Devulder, Nadine Guillotin-Plantard +1
We study persistence probabilities for random walks in correlated Gaussian random environment first studied by Oshanin, Rosso and Schehr. From the persistence results, we can deduc…