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Showing 1 to 4 of 4 for “"Hyperbolic dynamical systems"”.
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Deterministic transport: from normal to anomalous diffusion
… the important questions in statistical physics. Dynamical systems theory play a key role in a resent advance in this direction. Offering relatively simple models which are easy to study, dynamical systems theory became a standard branch of modern nonequilibrium statistical physics. In the present …
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Self-adjoint Laplacians and Symmetric Diffusions on Hyperbolic Attractors
In this thesis analysis on the attractors of hyperbolic dynamical systems is established in terms of Dirichlet forms. We construct self-adjoint Laplacians and symmetric Markov semigroups on uniformly, partially and generalized hyperbolic attractors, as well as on attractors with nonuniformly …
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Leveraging the Linear Response Theory in Sensitivity Analysis of Chaotic Dynamical Systems and Turbulent Flows
… derivatives of observables induced by a dynamical system. These derivatives, usually referred to as sensitivities, are critical components of optimization, control, numerical error estimation, risk assessment and other advanced computational methodologies. Efficient computation of …
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Linear and non-linear collisionless many-particle systems
… results for collisionless many-particle systems described by distribution functions satisfying classical kinetic models arising in astrophysics. On the one hand, we study the large time behavior of solutions to the Vlasov--Poisson system, which describes a self-gravitating system …