3 papers
math.PR2026
Lévy-driven queuing networks in multi-scale light and heavy traffic
Krzysztof DÈ©bicki, Nikolai Kriukov, Michel Mandjes
We study a queueing network with a strictly upper-triangular routing matrix, where each column contains at most one non-negative entry, and the root node receives input from a spec…
math.PR2025
Extremes of Brownian Decision Trees
Krzysztof DÈ©bicki, Pavel Ievlev, Nikolai Kriukov
We consider a Brownian motion with linear drift that splits at fixed time points into a fixed number of branches, which may depend on the branching point. For this process, which w…
math.PR2025
Functional limit theorems for Gaussian-fed queueing network in light and heavy traffic
Nikolai Kriukov, Krzysztof DÈ©bicki, Michel Mandjes
We consider a queueing network operating under a strictly upper-triangular routing matrix with per column at most one non-negative entry. The root node is fed by a Gaussian process…