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Fredholm and Sturm--Liouville Type Characterizations of the Limit Measure for the Kac Killing Penalization for Lévy Processes

Kohki Iba

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Source: arXiv

Published: Aug 27, 2026

arXiv: 2608.26642

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Source abstract

We study the Kac killing penalization for a one-dimensional recurrent Lévy process. We prove that the limit process possesses two equivalent characterizations by a Fredholm equation and by a Sturm--Liouville equation.

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