Bridging entropy and dimension theories in dynamical systems - IDEAS/RePEc
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When chaos meets geometry, the math gets beautiful — this research bridges topological entropy and fractal dimension to reveal hidden order inside the most unpredictable systems.
Topological EntropyFractal GeometryDynamical Systems TheoryGeometric Measure Theory
Theory Briefing
- Topological entropy measures the complexity of a dynamical system — how fast information is generated as it evolves over time.
- Fractal dimension captures the geometric 'roughness' of strange attractors — the bizarre shapes chaos leaves behind in phase space.
- New theoretical bridges between these two frameworks suggest that a system's unpredictability and its geometric structure are deeply, mathematically linked.