Abstract
We prove that Dudley's condition for a.s. convergence of quadratic Brownian variation on a sequence of partitions of $\lbrack 0, 1 \rbrack$ is best possible for the case in which these partitions are restricted to consist of intervals.
Citation
W. Fernandez de La Vega. "On Almost Sure Convergence of Quadratic Brownian Variation." Ann. Probab. 2 (3) 551 - 552, June, 1974. https://doi.org/10.1214/aop/1176996675
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