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math.PR2025
Many-Server Queueing Systems with Heterogeneous Strategic Servers in Heavy Traffic
Burak Büke, Goncalo dos Reis, Vadim Platonov
In most service systems, the servers are humans who desire to experience a certain level of idleness. In call centers, this manifests itself as the call avoidance behavior, where s…
math.PR2025
Wellposedness, exponential ergodicity and numerical approximation of fully super-linear McKean--Vlasov SDEs and associated particle systems
Xingyuan Chen, Goncalo dos Reis, Wolfgang Stockinger
We study a class of McKean--Vlasov Stochastic Differential Equations (MV-SDEs) with drifts and diffusions having super-linear growth in measure and space -- the maps have general p…