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Showing 1 to 2 of 2 for “"strong invariance"”.
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Invariance Principles for Random Processes Generated by Extrema and Partial Sums of Random Variables
… real value x. Under these conditions we prove a strong invariance principle for extremal processes analogous to the well-known invariance principle of Strassen for partial sums. In our case, the strong invariance principle yields several weak convergence results for extremal processes. This …
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Dissipative Lipschitz dynamics
… two related important issues in control theory: invariance of dynamical systems and Hamilton-Jacobi theory associated with optimal control theory. Given a control system modelled as a differential inclusion, we provide necessary and sufficient conditions for the strong invariance property of the …