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Most existing works on optimal filtering of linear time-invariant (LTI) stochastic systems with arbitrary unknown inputs assume perfect knowledge of the covariances of the noises in the filter design....
In this paper, we are concerned with the optimal control problems for a class of systems with fast-slow processes. The problem under consideration is to minimize a functional subject to a system descr...
We develop a new stochastic analysis approach to the lattice Yang-Millsmodel at strong coupling in any dimension d > 1, with t' Hooft scaling beta N for theinverse coupling strength. We study their La...

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