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SUMMARY:Fractal and Intersection Properties of Lévy Processes: a Potentia
 l-Theoretic Approach - Yimin Xiao (Michigan State University)
DTSTART:20220322T160000Z
DTEND:20220322T170000Z
UID:TALK171677@talks.cam.ac.uk
DESCRIPTION:This talk is concerned with fractal and intersection propertie
 s of L&eacute\;vy processes. Our main approach is based on potential theor
 y of a class of multiparameter L&eacute\;vy processes (i.e.\, additive L&e
 acute\;vy processes).\nIn particular\, we present some results on potentia
 l theory of additive L&eacute\;vy processes and show their applications to
 \n&nbsp\; &nbsp\; &nbsp\; &nbsp\;(i) Hausdorff dimension and exact capacit
 y computation for ordinary L&eacute\;vy processes.\n&nbsp\; &nbsp\; &nbsp\
 ; (ii) Various intersection properties of L&eacute\;vy processes.\nThis ta
 lk is based on joint works with D. Khoshnevisan and T. Luks.
LOCATION:Seminar Room 1\, Newton Institute
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