scholarly journals Spectral estimates for Ruelle operators with two parameters and sharp large deviations

2019 ◽  
Vol 39 (11) ◽  
pp. 6391-6417
Author(s):  
Vesselin Petkov ◽  
◽  
Luchezar Stoyanov ◽  
Keyword(s):  
Large Deviations ◽  
Spectral Estimates ◽  
Sharp Large Deviations ◽  
Two Parameters

scholarly journals Sharp large deviations for the fractional Ornstein - Uhlenbeck process

2010 ◽  
Vol 55 (4) ◽  
pp. 732-771 ◽  
Author(s):  
Bernard Bercu ◽  
Bernard Bercu ◽  
Laure Coutin ◽  
Laure Coutin ◽  
Nicolas Savy ◽  
...  
Keyword(s):  
Large Deviations ◽  
Uhlenbeck Process ◽  
Ornstein Uhlenbeck Process ◽  
Sharp Large Deviations

scholarly journals On sharp large deviations for sums of random vectors and multidimensional Laplace approximation

2004 ◽  
Vol 49 (4) ◽  
pp. 743-774
Author(s):  
Philippe Barbe ◽  
Philippe Barbe ◽  
Michel Broniatowski ◽  
Michel Broniatowski
Keyword(s):  
Large Deviations ◽  
Laplace Approximation ◽  
Random Vectors ◽  
Sharp Large Deviations

scholarly journals On Jumps Stochastic Evolution Equations With Application of Homogenization and Large Deviations

2019 ◽  
Vol 11 (2) ◽  
pp. 125
Author(s):  
Cl´ement Manga ◽  
Alioune Coulibaly ◽  
Alassane Diedhiou
Keyword(s):  
Evolution Equation ◽  
Large Deviations ◽  
Evolution Equations ◽  
Stochastic Evolution Equation ◽  
Stochastic Evolution ◽  
Stochastic Evolution Equations ◽  
Large Deviations Principle ◽  
Viscosity Parameter ◽  
Two Parameters ◽  
And Diffusion

We consider a class of jumps and diffusion stochastic differential equations which are perturbed by to two parameters:  ε (viscosity parameter) and δ (homogenization parameter) both tending to zero. We analyse the problem taking into account the combinatorial effects of the two parameters  ε and δ . We prove a Large Deviations Principle estimate for jumps stochastic evolution equation in case that homogenization dominates.

scholarly journals Sharp Large Deviations for Hyperbolic Flows

2020 ◽  
Vol 21 (12) ◽  
pp. 3791-3834
Author(s):  
Vesselin Petkov ◽  
Luchezar Stoyanov
Keyword(s):  
Large Deviations ◽  
Hyperbolic Flows ◽  
Sharp Large Deviations
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