docs(v2.0.0-alpha.7): enrich notebooks 07/08/10/14 to 03-tutorial depth
Notebooks 07 (topology), 08 (volterra), 10 (bsde) and 14 (mckean_vlasov)
now follow the same pedagogical template as the optimal-control tutorial:
- Theorem / proof markdown PRE-cells stating the equation pivot, with
derivations inspired by the latex coursework on path integrals,
Volterra-Malliavin and math-physics-finance lectures.
- Numerical experiment cells with analytic ground-truth checks
(Mittag-Leffler, Feynman-Kac, Ornstein-Uhlenbeck variance asymptote).
- Markdown POST-cells stating the expected result, how to read each
figure, and the conclusion linking back to the API.
- Concrete real-world applications:
* 07 topology -> physics: persistent H1 detects the hole of a thin
annulus vs a filled disk.
* 08 volterra -> sub-diffusion fractional Fokker-Planck moments.
* 10 bsde -> heat equation expectation as a linear BSDE.
* 14 mckean_vlasov -> opinion dynamics on a population.
All cells executed end-to-end with the rhftlab kernel; outputs (figures,
prints, ground-truth errors) are embedded as proof of work.
Includes the deterministic builder script _build_enriched_v2.py used to
regenerate the four notebooks.
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