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Talagrand Concentration Inequalities for Stochastic Partial Differential Equations

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 نشر من قبل Andrey Sarantsev Mr
 تاريخ النشر 2017
  مجال البحث
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One way to define the concentration of measure phenomenon is via Talagrand inequalities, also called transportation-information inequalities. That is, a comparison of the Wasserstein distance from the given measure to any other absolutely continuous measure with finite relative entropy. Such transportation-information inequalities were recently established for some stochastic differential equations. Here, we develop a similar theory for some stochastic partial differential equations.



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