Large Deviations For Performance Analysis

By A. Weiss, Adam Shwartz. 2019

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Loss networks (2009, background): “For an excellent introduction to this see, for instance, Shwartz and Weiss (1994); later papers include those by Simonian et al. (1997) and by Graham and O’Connell (2000).”
Convergence, fluctuations and large deviations for finite state mean field games via the Master Equation (2017, background): “ny individual. The ﬂuctuations are derived e.g. in [11], via the martingale problem, and in [12], by analyzing the inﬁnitesimal generator. The large deviation properties are found e.g. in [29], [33], [32], and, more recently, in [14]. The key point for proving these results is to compare the prelimi”
Differential equation approximations for Markov chains (2007, background): “See [3] on epidemiology and [21] on communications and computer networks.”
Large Deviations for Stochastic Processes (2006, unknown): “Other approaches to large deviation theory are considered in Dembo and Zeitouni [3], den Hollander [4], Deuschel and Stroock [6], Dupuis and Ellis [7], Freidlin and Wentzell [9], Kallenberg [12], Shwartz and Weiss [ 14 ], Varadhan [16].”
On the complexity of sphere decoding in digital communications (2005, methodology): “The rate function for this case is given by [17]”