Large deviation principle for the fourth-order stochastic heat equations with fractional noises

2010 ◽  
Vol 26 (1) ◽  
pp. 89-106 ◽  
Author(s):  
Yi Ming Jiang ◽  
Ke Hua Shi ◽  
Yong Jin Wang
Keyword(s):  
Fourth Order ◽  
Large Deviation Principle ◽  
Large Deviation ◽  
Heat Equations ◽  
Deviation Principle ◽  
Stochastic Heat Equations ◽  
Fractional Noises

Moderate deviations for fourth-order stochastic heat equations with fractional noises

2016 ◽  
Vol 16 (06) ◽  
pp. 1650022 ◽  
Author(s):  
Juan Yang ◽  
Yiming Jiang
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Fourth Order ◽  
Moderate Deviation ◽  
Heat Equations ◽  
Moderate Deviation Principle ◽  
Deviation Principle ◽  
Stochastic Heat Equations ◽  
Fractional Noises

In this paper, we obtain a central limit theorem and prove a moderate deviation principle for fourth-order stochastic heat equations with fractional noises.

Large deviation principle for the field in prequantum classical statistical field theory

2017 ◽  
Vol 20 (04) ◽  
pp. 1750025
Author(s):  
Andrei Khrennikov ◽  
Achref Majid
Keyword(s):  
Field Theory ◽  
Random Field ◽  
Field Model ◽  
Large Deviation Principle ◽  
Large Deviation ◽  
Background Field ◽  
Deviation Principle ◽  
Statistical Field ◽  
Statistical Field Theory

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.

scholarly journals LARGE DEVIATIONS FOR FLOWS OF INTERACTING BROWNIAN MOTIONS

2010 ◽  
Vol 10 (03) ◽  
pp. 315-339 ◽  
Author(s):  
A. A. DOROGOVTSEV ◽  
O. V. OSTAPENKO
Keyword(s):  
Brownian Motion ◽  
Large Deviations ◽  
Large Deviation Principle ◽  
Large Deviation ◽  
Stochastic Flows ◽  
Brownian Motions ◽  
Deviation Principle ◽  
And Brownian Motion

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.

scholarly journals Large Deviation Principle for the Greedy Exploration Algorithm over Erdös-Rényi Graphs

2022 ◽  
Vol 19 (1) ◽  
pp. 439
Author(s):  
Paola Bermolen ◽  
Valeria Goicoechea ◽  
Matthieu Jonckheere ◽  
Ernesto Mordecki
Keyword(s):  
Large Deviation Principle ◽  
Large Deviation ◽  
Deviation Principle
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