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This paper was partly written while the author was visiting the University of British Columbia
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Barlow, M.T. A maximal inequality for upcrossings of a continuous martingale. Z. Wahrscheinlichkeitstheorie verw Gebiete 67, 169–173 (1984). https://doi.org/10.1007/BF00535266
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DOI: https://doi.org/10.1007/BF00535266