16,686 research outputs found

    The automorphism groups and derivation algebras of two-dimensional algebras

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    The automorphisms groups and derivation algebras of all two-dimensional algebras over algebraically closed fields are described.Comment: A type-mistake in A3,2(c)A_{3,2}(\mathbf{c}) case, page 4, and its consequences are are correcte

    Complete Classification of Two-Dimensional Algebras

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    A complete classification of two-dimensional algebras over algebraically closed fields is providedComment: A type-mistake in A3,2(c)A_{3,2}(\mathbf{c}) case, page 7, is correcte

    Stochastic Minimum Principle for Partially Observed Systems Subject to Continuous and Jump Diffusion Processes and Driven by Relaxed Controls

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    In this paper we consider non convex control problems of stochastic differential equations driven by relaxed controls. We present existence of optimal controls and then develop necessary conditions of optimality. We cover both continuous diffusion and Jump processes.Comment: Pages 23, Submitted to SIAM Journal on Control and Optimizatio
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