Algebra
- The fundamental theorem of algebra can be proved using two-dimensional Brownian motion. Non-probabilistic proofs were available earlier.
- The index theorem for elliptic complexes is proved using probabilistic methods (rather than heat equation methods). A non-probabilistic proof was available earlier.
Read more about this topic: Probabilistic Proofs Of Non-probabilistic Theorems
Famous quotes containing the word algebra:
“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (1883–1955)