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4 papers · 2 filters
Tail asymptotics for monotone-separable networks
Marc Lelarge
A network belongs to the monotone separable class if its state variables are homogeneous and monotone functions of the epochs of the arrival process. This framework contains severa…
Solutions of max-plus linear equations and large deviations
Marianne Akian, Stephane Gaubert, Vassili Kolokoltsov
We generalise the Gartner-Ellis theorem of large deviations theory. Our results allow us to derive large deviation type results in stochastic optimal control from the convergence o…
Stochastic 2-microlocal analysis
Erick Herbin, Jacques Lévy-Véhel
A lot is known about the Hölder regularity of stochastic processes, in particular in the case of Gaussian processes. Recently, a finer analysis of the local regularity of functions…
Inside singularity sets of random Gibbs measures
Julien Barral, Stephane Seuret
We evaluate the scale at which the multifractal structure of some random Gibbs measures becomes discernible. The value of this scale is obtained through what we call the growth spe…