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In this paper, we first prove that the local time associated with symmetric α-stable processes is of bounded p-variation for any p>2α−1 partly based on Barlow’s estimation of the modulus of the local time of such processes.The fact that the local time is of bounded p-variation for any p>2α−1 enables us to define the integral of the local time ∫−∞∞▿−α−1f(x)dxLtx as a Young integral for less smooth...
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