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2004

Kouritzin, Michael, Long, H., Sun, W.

Herein, we consider direct Markov chain approximations to the Duncan–Mortensen–Zakai equations for nonlinear filtering problems on regular, bounded domains. For clarity of presentation, we restrict our attention to reflecting diffusion signals with symmetrizable generators. Our Markov chains are...

2005

Kouritzin, Michael, Sun, W.

Herein, we analyze an efficient branching particle method for asymptotic solutions to a class of continuous-discrete filtering problems. Suppose that t→Xt is a Markov process and we wish to calculate the measure-valued process t→μt(⋅)≐P{Xt∈⋅|σ{Ytk, tk≤t}}, where tk=kɛ and Ytk is a distorted,...

2017-01-01

Zhou, B., Faucher, A., Laskowski, R., Terskikh, V.V., Kroeker, S., Sun, W., Lin, J., Mi, J-X., Michaelis, V.K., Pan, Y.

A series of well-characterized magnesium borate minerals and synthetic analogues have been studied via ultrahigh-field 25Mg solid-state NMR spectroscopy. Correlations between 25Mg NMR parameters and the local structure at the magnesium site(s) are highlighted and discussed. First-principles...

2013-11-22

Sun, W., Kouritzin, Michael

We address the missing analog of vague convergence in the weak-converge large-deviations analogy. Specifically, we introduce the weak Laplace principle and show it implies both the well-known weak LDP and the Laplace principle lower bound. Both the weak LDP and weak Laplace principle hold in...