An illustrated paper on why lognormal fits Quicksort comparison counts better than normal but misses their limiting distribution.

A five-page paper linking dependence change, mechanical work, and an optomechanical test.

Prediction-calibrated analytic bounds with an application to exact Boolean formula complexity.

Mapping the hidden geometry between Lean theorem statements, proof strategies, and retrieval-guided proof generation.

A geometric theory-and-experiments repo showing how deployment risk under covariate drift is governed by the interaction between data motion and model tangent sensitivity.

An interactive OpenSky aircraft globe with mathematical analysis of geodesic deviation patterns across live flight paths.

Relational complexity, invariant measures, and compatible-history cosmology

Behavioral embeddings improve energy-program propensity prediction and ranking; propensity neighborhoods add modest calibration benefits.

Experiments and short papers on how global Hadamard constraints yield predictable regional structure—and why that signal does not automatically become an effective exact-search policy.

Linear vs. parallelized dependency structures and their information theoretic geometry.

A continuous-time geometric formulation of sorting as gradient flow on the permutohedron.

A small research program on finite-response kernels, takeoff kernels, and the finite shape of mediated response across physical, recursive, and inverse systems.

Feature Viability and Probability Mass Dilution in Random Forests and Neural Nets.

A Fourier-Domain Analysis of Black Hole Images for Photon-Ring Inference.

Reproducible experiments and papers for a geometric-residual/statistical-learning framing of the galaxy missing-mass problem, including SPARC rotation-curve residual diagnostics and masked dictiona…

A mathematical and thermodynamic framework for understanding when continuous physical processes can support stable, predictive symbolic computation through coarse-graining.

A research-driven analysis of dynamic ticket pricing, modeling distributions with scaled Beta estimates derived from limited statistics (min, max, mean, median). The approach enriches Random Forest…