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Measure solutions to the conservative renewal equation

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 Added by Pierre Gabriel
 Publication date 2017
  fields
and research's language is English




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We prove the existence and uniqueness of measure solutions to the conservative renewal equation and analyze their long time behavior. The solutions are built by using a duality approach. This construction is well suited to apply the Doeblins argument which ensures the exponential relaxation of the solutions to the equilibrium.

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