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Omar Melikechi

Assistant Professor of Statistical Science
Statistical Science

Scholarly Works - Preprints


Random Splitting of Fluid Models: Unique Ergodicity and Convergence

Preprint · July 1, 2023 We introduce a family of stochastic models motivated by the study of nonequilibrium steady states of fluid equations. These models decompose the deterministic dynamics of interest into fundamental building blocks, i.e., minimal vector fields preserving som ... Full text Open Access Cite

Random Splitting of Fluid Models: Positive Lyapunov Exponents

Preprint · October 6, 2022 In this paper we give sufficient conditions for random splitting systems to have a positive top Lyapunov exponent. We verify these conditions for random splittings of two fluid models: the conservative Lorenz-96 equations and Galerkin approximations of the ... Open Access Link to item Cite