📜 Theorem, law or theory

Zipf's law

Ley de Zipf

Date
1932 · confidence high
Place
Harvard University, Cambridge, Massachusetts, United States
Credited to
George Kingsley Zipf
Field
Knowledge & symbols

What was discovered

Zipf observed that in a text a word's frequency is inversely proportional to its rank in a frequency table, so the most common word appears roughly twice as often as the second. He drew on earlier observations about city populations and word frequencies, and the pattern turned out to also apply to company sizes, personal incomes and other complex systems.

What it led to

  • Formalization of Zipfian distributions in statistics
  • Zipf-Mandelbrot law
  • Applications in quantitative linguistics and complex systems

Built on

  • Felix Auerbach's observations on city populations (1913)
  • Alfred J. Lotka's work (1926)

Links

Sources✓ verified 2026-09-28