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Anthony Quas - One of the best experts on this subject based on the ideXlab platform.
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Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-Invertible Matrix cocycles
Communications on Pure and Applied Mathematics, 2015Co-Authors: Gary Froyland, Cecilia González-tokman, Anthony QuasAbstract:We establish (i) stability of Lyapunov exponents and (ii) convergence in probability of Oseledets spaces for semi-Invertible Matrix cocycles subjected to small random perturbations. The first part extends results of Ledrappier and Young to the semi-Invertible setting. The second part relies on the study of evolution of subspaces in the Grassmannian; the analysis developed here is based on higher-dimensional Mobius transformations and is likely to be of wider interest.
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Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-Invertible Matrix cocycles
arXiv: Dynamical Systems, 2013Co-Authors: Gary Froyland, Cecilia González-tokman, Anthony QuasAbstract:We establish (i) stability of Lyapunov exponents and (ii) convergence in probability of Oseledets spaces for semi-Invertible Matrix cocycles, subjected to small random perturbations. The first part extends results of Ledrappier and Young to the semi-Invertible setting. The second part relies on the study of evolution of subspaces in the Grassmannian.
Gary Froyland - One of the best experts on this subject based on the ideXlab platform.
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Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-Invertible Matrix cocycles
Communications on Pure and Applied Mathematics, 2015Co-Authors: Gary Froyland, Cecilia González-tokman, Anthony QuasAbstract:We establish (i) stability of Lyapunov exponents and (ii) convergence in probability of Oseledets spaces for semi-Invertible Matrix cocycles subjected to small random perturbations. The first part extends results of Ledrappier and Young to the semi-Invertible setting. The second part relies on the study of evolution of subspaces in the Grassmannian; the analysis developed here is based on higher-dimensional Mobius transformations and is likely to be of wider interest.
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Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-Invertible Matrix cocycles
arXiv: Dynamical Systems, 2013Co-Authors: Gary Froyland, Cecilia González-tokman, Anthony QuasAbstract:We establish (i) stability of Lyapunov exponents and (ii) convergence in probability of Oseledets spaces for semi-Invertible Matrix cocycles, subjected to small random perturbations. The first part extends results of Ledrappier and Young to the semi-Invertible setting. The second part relies on the study of evolution of subspaces in the Grassmannian.
Wei Zhang - One of the best experts on this subject based on the ideXlab platform.
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Linear Maps on Upper Triangular Matrices Spaces Preserving Idempotent Tensor Products
Abstract and Applied Analysis, 2014Co-Authors: Li Yang, Wei ZhangAbstract:Suppose are positive integers. Let be the space of all complex upper triangular matrices, and let be an injective linear map on . Then is an idempotent Matrix in whenever is an idempotent Matrix in if and only if there exists an Invertible Matrix such that , or when , , where or and or
Cecilia González-tokman - One of the best experts on this subject based on the ideXlab platform.
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Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-Invertible Matrix cocycles
Communications on Pure and Applied Mathematics, 2015Co-Authors: Gary Froyland, Cecilia González-tokman, Anthony QuasAbstract:We establish (i) stability of Lyapunov exponents and (ii) convergence in probability of Oseledets spaces for semi-Invertible Matrix cocycles subjected to small random perturbations. The first part extends results of Ledrappier and Young to the semi-Invertible setting. The second part relies on the study of evolution of subspaces in the Grassmannian; the analysis developed here is based on higher-dimensional Mobius transformations and is likely to be of wider interest.
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Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-Invertible Matrix cocycles
arXiv: Dynamical Systems, 2013Co-Authors: Gary Froyland, Cecilia González-tokman, Anthony QuasAbstract:We establish (i) stability of Lyapunov exponents and (ii) convergence in probability of Oseledets spaces for semi-Invertible Matrix cocycles, subjected to small random perturbations. The first part extends results of Ledrappier and Young to the semi-Invertible setting. The second part relies on the study of evolution of subspaces in the Grassmannian.
Li Yang - One of the best experts on this subject based on the ideXlab platform.
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Linear Maps on Upper Triangular Matrices Spaces Preserving Idempotent Tensor Products
Abstract and Applied Analysis, 2014Co-Authors: Li Yang, Wei ZhangAbstract:Suppose are positive integers. Let be the space of all complex upper triangular matrices, and let be an injective linear map on . Then is an idempotent Matrix in whenever is an idempotent Matrix in if and only if there exists an Invertible Matrix such that , or when , , where or and or