Poincaré recurrence theorem
Teorema de recurrencia de Poincaré
- Date
- 1890 · confidence high
- Place
- Paris, Île-de-France, France
- Credited to
- Henri Poincaré
- Field
- Cosmos & Earth
What was discovered
A foundational dynamical-systems result stating that in a finite-volume, volume-preserving system almost every initial state returns infinitely often arbitrarily close to its starting point, discussed by Henri Poincaré.
What it led to
- Statistical mechanics and foundations of entropy
- Ergodic theory
- Chaotic dynamical systems
- Carathéodory's rigorous proof (1919)