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This paper deals with expected average cost (EAC) and discount-sensitive criteria for discrete-time Markov control processes on Borel spaces, with possibly unbounded costs. Conditions are given under which (a) EAC optimality and strong −1-discount optimality are equivalent; (b) strong 0-discount...
The class of Riemannian spaces admitting projectively, or geodesically, equivalent metrics is very closely related to a certain class of spaces for which the Hamilton–Jacobi equation for geodesics is separable. This fact is established, and its consequences explored, by showing that when a...
This article was originally written to be delivered during a short course, but because of its finite-dimensional setting, it can also be addressed to nonspecialists and those only possessing a basic background on real analysis and mathematical programming. Thus, it should be conceived as an...
In this paper by Sobolev imbedding theorem and characterization theorem of generalized operators the existence of Ά
quantum fields as generalized operators is obtained with space cut-off and a rigorous mathematical interpretation of renormalization procedure is given under white noise theory.
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