On a Class of Stochastic Anderson Models with Fractional Noises

2008 ◽  
Vol 26 (2) ◽  
pp. 256-273 ◽  
Author(s):  
Lijun Bo ◽  
Yiming Jiang ◽  
Yongjin Wang
Keyword(s):  
Fractional Noises ◽  
Anderson Models

Stochastic fractional Anderson models with fractional noises

2009 ◽  
Vol 31 (1) ◽  
pp. 101-118 ◽  
Author(s):  
Yiming Jiang ◽  
Kehua Shi ◽  
Yongjin Wang
Keyword(s):  
Fractional Noises ◽  
Anderson Models

scholarly journals Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction

2016 ◽  
Vol 2016 ◽  
pp. 1-17 ◽  
Author(s):  
Victor Chulaevsky
Keyword(s):  
Dynamical Localization ◽  
Scaling Analysis ◽  
Range Interaction ◽  
Direct Scaling ◽  
Strongly Mixing ◽  
Optimal Decay ◽  
Decay Bounds ◽  
Multiparticle Systems ◽  
Infinite Range ◽  
Anderson Models

We adapt the method of direct scaling analysis developed earlier for single-particle Anderson models, to the fermionic multiparticle models with finite or infinite interaction on graphs. Combined with a recent eigenvalue concentration bound for multiparticle systems, the new method leads to a simpler proof of the multiparticle dynamical localization with optimal decay bounds in a natural distance in the multiparticle configuration space, for a large class of strongly mixing random external potentials. Earlier results required the random potential to be IID.

Talagrand’s quadratic transportation cost inequalities for SPDEs driven by fractional noises with two reflection walls

2021 ◽  
pp. 2250004
Author(s):  
Yumeng Li
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Stochastic Partial Differential Equations ◽  
Transportation Cost ◽  
Uniform Norm ◽  
Continuous Functions ◽  
Partial Differential ◽  
Girsanov’S Transformation ◽  
Fractional Noises

Using the method of Girsanov’s transformation, we investigate Talagrand’s quadratic transportation cost inequalities for the laws of the solutions of stochastic partial differential equations (SPDEs) with two reflection walls under the uniform norm on the continuous functions space. These equations are driven by fractional noises.

Moderate deviations for a class of semilinear SPDE with fractional noises

2019 ◽  
Vol 37 (5) ◽  
pp. 811-835
Author(s):  
Junfeng Liu ◽  
Yuquan Cang ◽  
Xinian Fang
Keyword(s):  
Moderate Deviations ◽  
Fractional Noises

scholarly journals Stochastic generalized Burgers equations driven by fractional noises

2012 ◽  
Vol 252 (2) ◽  
pp. 1934-1961 ◽  
Author(s):  
Yiming Jiang ◽  
Tingting Wei ◽  
Xiaowen Zhou
Keyword(s):  
Burgers Equations ◽  
Fractional Noises

STOCHASTIC CAHN–HILLIARD EQUATION WITH FRACTIONAL NOISE

2008 ◽  
Vol 08 (04) ◽  
pp. 643-665 ◽  
Author(s):  
LIJUN BO ◽  
YIMING JIANG ◽  
YONGJIN WANG
Keyword(s):  
Weak Convergence ◽  
Existence And Uniqueness ◽  
Mild Solutions ◽  
Fractional Noise ◽  
Hilliard Equation ◽  
Cahn Hilliard Equation ◽  
Fractional Noises

We study the existence and uniqueness of global mild solutions to a class of stochastic Cahn–Hilliard equations driven by fractional noises (fractional in time and white in space), through a weak convergence argument.

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