The speed of convergence in the renewal theorem

Published 25 Jun 2015 in math.PR | (1506.07625v1)

Abstract: In this article we study a diophantine property of probability measures on R. We will always assume that the considered measures have an exponential moment and a drift. We link this property to the points in C close to the imaginary axis where the Fourier-Laplace transform of those measures take the value 1 and finally, we apply this to the study of the speed in Kesten's renewal theorem on R.

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Jean-baptiste Boyer

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