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Published in:
2011 | OriginalPaper | Chapter
On Stochastic Ergodic Control in Infinite Dimensions
Authors : Beniamin Goldys, Bohdan Maslowski
Published in: Seminar on Stochastic Analysis, Random Fields and Applications VI
Publisher: Springer Basel
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Some recent results on stochastic ergodic control problems in infinite- dimensional state spaces are reviewed, a special attention being paid to the ergodic control of stochastic semilinear reaction-diffusion equations. Earlier achievements obtained in this field (as well as some of those obtained for the discounted cost optimization problem) are summarized. Some of the recently obtained results that will appear in the forthcoming paper [15] are described in more detail.