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Session Overview |
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S 6 Keynote: Stochastic modelling in natural sciences
Session Topics: 6. Stochastic modelling in natural sciences
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3:50 pm - 4:40 pm
Stability and instability of almost-surely invariant structures in stochastic systems In this talk I will report on a toolkit for use in evaluating the asymptotic stability or instability of almost-surely invariant subsets of the phase space of a random dynamical system. Such invariant sets arise naturally in PDE as classes of solutions obeying some symmetry, e.g., the set of incompressible vector fields which are constant along some axis. An application to the stochastically driven Lorenz 96 system of coupled oscillators is given, as well as some outlook on proposed applications to systems of practical interest such as the Navier-Stokes equations with stochastic driving. | ||
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