In probability theory, we often require that functions and/or processes be RCLL (i.e. cadlag) and of bounded variation (usually bounded on any finite interval). I'm having trouble coming up with an example of a deterministic function which is RCLL but not of bounded variation. In other words, I'm wondering why the bounded variation condition is not redundant. Thanks.
2026-03-27 16:20:45.1774628445
RCLL (cadlag) But Not Bounded Variation
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