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William Feller
Born
Vilibald Srećko Feller

July 7, 1906 (1906-07-07)
Died January 14, 1970 (1970-01-15) (aged 63)
New York City, US
Nationality Croatian–American
Alma mater University of Zagreb
University of Göttingen
Known for Feller process
Feller's coin-tossing constants
Feller-continuous process
Feller's paradox
Feller's theorem
Feller–Pareto distribution<
Feller–Tornier constant
Feller–Miyadera–Phillips theorem
Proof by intimidation
Awards National Medal of Science (USA) in Mathematical, Statistical, and Computational Sciences (1969)
Scientific career
Fields Mathematician
Institutions University of Kiel
University of Copenhagen
University of Stockholm
University of Lund
Brown University
Cornell University
Princeton University
Doctoral advisor Richard Courant
Doctoral students Patrick Billingsley
George Forsythe
Robert Kurtz
Henry McKean
Lawrence Shepp
Hale Trotter
Benjamin Weiss
David A. Freedman
Signature
Feller sig.jpg

William "Vilim" Feller (July 7, 1906 – January 14, 1970) was a famous Croatian-American mathematician. He was born Vilibald Srećko Feller and became well-known for his work in probability theory.

Early Life and Education

William Feller was born in Zagreb, which is now in Croatia. His mother, Ida Oemichen-Perc, was Catholic. His father, Eugen Viktor Feller, was a chemist. Eugen Feller created a famous product called Elsa fluid, named after his own mother.

William's first name, Vilibald, was chosen by his mother because of the saint's day on his birthday. He later changed his name to William.

His Work and Contributions

Feller started teaching at the University of Kiel in Germany in 1928. In 1933, he left Germany because of the political situation and moved to Copenhagen, Denmark. He also taught in Sweden, in cities like Stockholm and Lund.

In 1939, Feller moved to the United States. He became a US citizen in 1944. He taught at Brown University and Cornell University. In 1950, he became a professor at Princeton University.

William Feller wrote many important papers and two books. His work covered different areas of mathematics, including mathematical analysis, geometry, and differential equations. He was especially famous for his work in mathematical statistics and probability theory.

Many people consider Feller one of the most important probabilists of the 20th century. He helped make probability theory a major part of mathematical studies in Sweden and the United States. His two-volume textbook on probability theory is considered one of the best ever written. Feller also helped create research groups that studied the advanced theory of probability.

Key Discoveries and Ideas

Many ideas in probability are named after William Feller. These include Feller processes and the Lindeberg–Feller theorem. He made important contributions to areas like renewal theory, random walks, and diffusion processes.

Feller was also one of the first editors for the journal Mathematical Reviews.

Important Books

  • An Introduction to Probability Theory and its Applications, Volume I, 3rd edition (1968)
  • An Introduction to Probability Theory and its Applications, Volume II, 2nd edition (1971)

Awards and Recognition

William Feller received many honors for his work:

See also

  • Feller condition
  • Beta distribution
  • Compound Poisson distribution
  • Gillespie algorithm
  • Kolmogorov equations
  • Poisson point process
  • Stability (probability)
  • St. Petersburg paradox
  • Stochastic process
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