Navigation & Index
Site Directory & Sitemap
A complete catalog of interactive visualization tools, theory wiki articles, mathematical surveys, and academic profile pages.
Computational Tools
Interactive Solvers & Visualizers
- NIEP Research Hub Home Master dashboard, tool showcases, open problems, and literature catalog.
- Karpelevič Region Interactive Viewer Live HTML5 Canvas renderer of stochastic eigenvalue regions $n=2$ to $n=8$ with Farey arcs.
- Trace Polytope 3D Visualizer 3D WebGL dataset browser for order-5 symmetric and real trace polytopes.
- Numerical Spectra Realizer Alternating projection solver with exact Suleimanova and Soules synthesis.
Theory Wiki
Mathematical Theory Articles
- Theoretical Overview Comprehensive foundational survey covering Perron-Frobenius theory and semi-algebraic geometry.
- The NIEP (Core Formulation) Dimensional solvability progress, trace moment obstructions, and open frontiers.
- Symmetric NIEP (SNIEP) Orthogonal eigenspaces, Soules bases, Fiedler theorems, and trace polyhedra.
- Real NIEP (RNIEP) Non-orthogonal frames, general real spectra, and the Laffey-Loewy separation gap.
- Karpelevič Region & Theorem Kolmogorov's problem, stochastic boundaries, Farey sequence, and Ito's algebraic polynomials.
- Suleĭmanova Spectra Single positive eigenvalue spectra, trace sufficiency, and Fiedler's symmetric realization.
- Boyle-Handelman Theorem Symbolic dynamics, shifts of finite type, and realization with auxiliary zero eigenvalues.
- Perron Similarities & Ideal Spectracones Johnson-Paparella theory, spectracones, and Gershnik-Lewis-Paparella's theorem on group character tables.
Academic & Research
Profile & Publications
- About Benjamin J. Clark Biography, research background in nonnegative matrix theory, and professional software engineering.
- Curriculum Vitae Full academic and professional CV with downloadable PDF and embedded viewer.
- Publications & Preprints Peer-reviewed articles, arXiv preprints, DOI links, and abstract summaries.
- Invited Talks & Presentations Conference lectures, seminar presentations, and slides in spectral graph theory and matrix analysis.
- Teaching & Course Archives University courses taught, syllabi, lecture notes, and educational materials.
- Publications Section Index Direct archive redirect for publication listings.
- Talks Section Index Direct archive redirect for presentations.
- Teaching Section Index Direct archive redirect for instructional materials.