کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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5129990 | 1489930 | 2017 | 47 صفحه PDF | دانلود رایگان |
In this paper, we first prove that the local time associated with symmetric α-stable processes is of bounded p-variation for any p>2αâ1 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>2αâ1 enables us to define the integral of the local time â«ââââ¿âαâ1f(x)dxLtx as a Young integral for less smooth functions being of bounded q-variation with 1â¤q<23âα. When qâ¥23âα, Young's integration theory is no longer applicable. However, rough path theory is useful in this case. The main purpose of this paper is to establish a rough path theory for the integration with respect to the local times of symmetric α-stable processes for 23âαâ¤q<4.
Journal: Stochastic Processes and their Applications - Volume 127, Issue 11, November 2017, Pages 3596-3642