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Showing 1 to 5 of 5 for “"Perron-Frobenius operator"”.
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Thermodynamical Formalism
… introduces Gibbs states and the very important Perron-Frobenius Operator. The fifth chapter establishes the connection between pressure and geometry. Topological pressure is used in the calculation of Hausdorff dimensions. Finally the sixth chapter introduces the notion of conformal measures.
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Study of the dynamics of transport and mixing using set oriented methods
… method that makes use of the descritised Perron-Frobenius operator of the flow map. This work extends this approach to flows at non-zero Reynolds numbers, which take into account the effects of inertia. The role of Finite Time Coherent Structures (FTCS) in the dynamics of flow fields is …
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Nonparametric sparse learning of dynamical systems
Transfer operators such as the Koopman operator and the Perron-Frobenius operator provide a rich framework for representing the dynamics of very general, nonlinear dynamical systems. In this dissertation, we develop a nonparametric approach to learning the system dynamics via transfer operators in …
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Analytic and ergodic properties of certain classes of Euclidean algorithms
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-09-01 without embargo terms
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Finding and exploiting structure in complex systems via geometric and statistical methods
… almost-invariant sets computed using a transfer operator approach are the natural objects on which to pin the TNCT.