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math.PR2019
A Many-Server Functional Strong Law For A Non-Stationary Loss Model
Prakash Chakraborty, Harsha Honnappa
The purpose of this note is to show that it is possible to establish a many-server functional strong law of large numbers (FSLLN) for the fraction of occupied servers (i.e., the sc…
math.PR2019
Strong Embeddings for Transitory Queueing Models
Prakash Chakraborty, Harsha Honnappa
In this paper we establish strong embedding theorems, in the sense of the Komlos-Major-Tusnady framework, for the performance metrics of a general class of transitory queueing mode…
math.PR2018
Quenched asymptotics for a 1-d stochastic heat equation driven by a rough spatial noise
Prakash Chakraborty, Xia Chen, Bo Gao +1
In this note we consider the parabolic Anderson model in one dimension with time-independent fractional noise in space. We consider the case and get exist…