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Lectures Year : 2016

Measure solutions to the conservative renewal equation

Pierre Gabriel

Abstract

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 Doeblin’s argument which ensures the exponential relaxation of the solutions to the equilibrium.
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Dates and versions

cel-01499728 , version 1 (31-03-2017)
cel-01499728 , version 2 (02-03-2018)

Identifiers

  • HAL Id : cel-01499728 , version 2

Cite

Pierre Gabriel. Measure solutions to the conservative renewal equation. Doctoral. Moka, Mauritius. 2016, pp.12. ⟨cel-01499728v2⟩
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