APOLOGOS

Phase 1 · Science corpus

Fractals & the Mathematical Universe — Corpus

Everything below is the live state of engineering infrastructure: arXiv metadata (no full texts) and a concept-paper graph. Links are generated automatically by keyword matching over titles and abstracts — unreviewed, for research indexing only.

—
Concept domains
—
Linked papers
—
Concept-paper edges
—
Preprints in DB

AConcept domains

17 standard mathematical concept domains, trilingual. The search interface (MCP search_topic) traverses linked papers per concept.

fractal fractal self-similarity self-similarity Hausdorff dimension hausdorff-dimension iterated function system iterated-function-system Mandelbrot set mandelbrot-set Julia set julia-set L-system l-system scale invariance scale-invariance fractional dimension fractional-dimension attractor attractor chaos theory chaos-theory complex dynamics complex-dynamics topological entropy topological-entropy multifractal multifractal Brownian motion brownian-motion renormalization renormalization geometric measure theory geometric-measure-theory

BPreprint index

All metadata comes from the arXiv API; titles link back to the source papers. Filter by keyword or category.

…