Research Software Theory, validation, and figures
Stepping-Stone Volume Constants
Summary
Python tools for evaluating normalized stepping-stone diversion-region volume constants, validating the numerical results by Monte Carlo simulation, and reproducing the project figures.
$$ a_{d,\mathrm{SS}}(\alpha)=2\kappa_{d-1}\int_{2^{-1/\alpha}}^1 y_\alpha(u)^{d-1}x_\alpha^{\prime}(u)\,du $$
Context
The theoretical one-dimensional representation is checked independently through acceptance Monte Carlo sampling in a bounding cylinder.
Main contributions
- Implements the one-dimensional representation for normalized stepping-stone diversion-region volume constants.
- Validates numerical values independently through acceptance Monte Carlo sampling.
- Provides reproducible experiment entry points, numerical tests, retained validation results, and figure-generation scripts.
- Includes an interactive three-dimensional visualization of the normalized diversion neighborhood.