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math.PR2026
Quadratic and -th variation of random signed Takagi--Landsberg bridges
Purba Das, Alexander Schied
We study random signed Takagi--Landsberg bridges with independent Rademacher Faber--Schauder coefficients. At index , we prove that every fixed deterministic refining sequen…
math.PR2026
Banach spaces of continuous paths with finite -th variation
Purba Das, Donghan Kim, Fang Rui Lim
We study pathwise -th variation of continuous paths on a compact interval along a fixed partition sequence. Although the class of continuous paths with finite -th variation i…