Quadratic and p-th variation of random signed Takagi–Landsberg bridges

Battle Count: 77

This is a pure mathematics paper in probability theory concerning pathwise properties of fractal-type stochastic processes. While the underlying concepts (quadratic variation, Hölder regularity, rough paths) have indirect connections to financial mathematics and stochastic calculus, the paper itself does not address any trading, pricing, or risk management applications. Its relevance to quantitative trading is minimal and purely foundational.

This is a theoretical paper with no computational implementation. The 'complexity' lies entirely in the mathematical proofs, which involve Rademacher chaos estimates, operator theory in L2 spaces, and combinatorial partition constructions. There is no code, algorithm, or software component.

The paper is a pure theoretical mathematics paper with complete, self-contained proofs. All results are derived from first principles with explicit constants. No computational experiments or datasets are involved. The mathematical arguments are fully specified and verifiable.