The extended large deviation principle for a process with independent increments

2017 ◽  
Vol 58 (3) ◽  
pp. 515-524
Author(s):  
A. A. Mogul’skiĭ
1994 ◽  
Vol 7 (3) ◽  
pp. 301-330 ◽  
Author(s):  
Roland L. Dobrushin ◽  
Eugene A. Pechersky

The crude asymptotics of the large delay probability in a tandem queueing system is considered. The main result states that one of the two channels in the tandem system defines the crude asymptotics. The constant that determines the crude asymptotics is given. The results obtained are based on the large deviation principle for random processes with independent increments on an infinite interval recently established by the authors.


Author(s):  
Andrei Khrennikov ◽  
Achref Majid

In this paper, we prove a large deviation principle for the background field in prequantum statistical field model. We show a number of examples by choosing a specific random field in our model.


2010 ◽  
Vol 10 (03) ◽  
pp. 315-339 ◽  
Author(s):  
A. A. DOROGOVTSEV ◽  
O. V. OSTAPENKO

We establish the large deviation principle (LDP) for stochastic flows of interacting Brownian motions. In particular, we consider smoothly correlated flows, coalescing flows and Brownian motion stopped at a hitting moment.


Author(s):  
Paola Bermolen ◽  
Valeria Goicoechea ◽  
Matthieu Jonckheere ◽  
Ernesto Mordecki

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