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Journal of Machine Learning Research, ISSN 1532-4435, 10/2010, Volume 11, pp. 2543 - 2596
Journal Article
Bernoulli, ISSN 1350-7265, 02/2017, Volume 23, Issue 1, pp. 645 - 669
This paper focuses on stochastic partial differential equations (SPDEs) under two-time-scale formulation. Distinct from the work in the existing literature,... 
Strong convergence | Stochastic partial differential equation | Averaging principle | Invariant measure | α-stable process | REACTION-DIFFUSION EQUATIONS | alpha-stable process | stochastic partial differential equation | invariant measure | SYSTEMS | STATISTICS & PROBABILITY | strong convergence | averaging principle
Journal Article
Journal of Machine Learning Research, ISSN 1532-4435, 03/2016, Volume 17
Journal Article
The Annals of Statistics, ISSN 0090-5364, 10/2008, Volume 36, Issue 5, pp. 2183 - 2206
Journal Article
Physical Review Letters, ISSN 0031-9007, 09/2013, Volume 111, Issue 10, p. 106402
We formulate the Kohn-Sham density functional theory (KS-DFT) as a statistical theory in which the electron density is determined from an average of correlated... 
MATRIX | INTEGRAL FORMULATION | MOLECULAR-DYNAMICS | ENERGY | ACCURATE | PHYSICS, MULTIDISCIPLINARY | REPRESENTATION | SYSTEMS | ORBITALS | ELECTRONIC-STRUCTURE CALCULATIONS | SPECTRA | Models, Theoretical | Models, Statistical | Stochastic Processes | Electrons
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 05/2019, Volume 266, Issue 10, pp. 6702 - 6738
The purpose of this paper is to establish Bogoliubov averaging principle of stochastic reaction–diffusion equation with a stochastic process and a small... 
Stochastic reaction–diffusion equation | Bogoliubov averaging principle | MATHEMATICS | MOTION | Stochastic reaction-diffusion equation | DYNAMICAL-SYSTEMS
Journal Article
Potential Analysis, ISSN 0926-2601, 8/2018, Volume 49, Issue 2, pp. 309 - 330
We study the boundedness properties of averaging and maximal averaging operators, under the following local comparability condition for measures: Intersecting... 
Geometry | Averaging operators | 42B25 | Potential Theory | Functional Analysis | Maximal averaging operators | Probability Theory and Stochastic Processes | Mathematics | MATHEMATICS | BOUNDS | HARDY-LITTLEWOOD | BEHAVIOR
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2017, Volume 447, Issue 1, pp. 243 - 268
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 2009, Volume 119, Issue 7, pp. 2249 - 2276
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 01/2015, Volume 112, pp. 1 - 14
Journal Article
IEEE Transactions on Automatic Control, ISSN 0018-9286, 02/2017, Volume 62, Issue 2, pp. 766 - 781
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 08/2011, Volume 240, Issue 17, pp. 1395 - 1401
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 8/2019, Volume 70, Issue 4, pp. 1 - 28
Journal Article