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Stochastic cosmology, perturbation theories and Lifshitz gravitya Landau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation b Dipartimento di Fizica e Astronomia and Istituto Nazionale di Fizica Nucleare, via Irnerio 46, Bologna, 40126, Italy This paper reviews E M Lifshitz's work on gravity and cosmology and discusses later work by others who drew on his ideas. The major topics covered include the stochastic cosmology of an anisotropic universe and of an isotropic scalar field universe; the quasi-isotropic (gradient) expansion in cosmology; and Horava—Lifshitz gravity and cosmology.
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