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William Feller

William Feller
Born Vilibald Srećko Feller
July 7, 1906 (1906-07-07)
Zagreb, Austro-Hungarian Monarchy (now Croatia)
Died January 14, 1970 (1970-01-15) (aged 63)
New York, New York, United States
Nationality Croatian–American
Fields Mathematician
Institutions University of Kiel
University of Copenhagen

University of Lund
Brown University
Cornell University
Princeton University
Alma mater University of Zagreb
University of Göttingen
Doctoral advisor Richard Courant
Doctoral students Patrick Billingsley
William Cleveland
David Freedman
George Forsythe
Jay Goldman
Mario Juncosa
Wilfred Kincaid
Frank Knight
Robert Kurtz
Henry McKean
Loren Pitt
George Seifert
Lawrence Shepp
Martin Silverstein
Hale Trotter
Maria Weber
Benjamin Weiss
Known for Feller process
Feller's coin-tossing constants
Feller-continuous process
Proof by intimidation
Stars and bars
Feller transition function
Feller semigroup
Feller's property
Feller Brownian motions
Feller's test for explosions
Lindeberg-Feller condition
Feller operator
Feller potential
Feller measures
Krein-Feller differential operators
Kolmogorov-Feller equation
Influences Stanko Vlögel
Notable awards National Medal of Science (USA) in Mathematical, Statistical, and Computational Sciences (1969)
Signature

William "Vilim" Feller (July 7, 1906 – January 14, 1970), born Vilibald Srećko Feller, was a Croatian-American mathematician specializing in probability theory.

Feller was born in Zagreb to Ida Oemichen-Perc, a Croatian-Austrian Catholic, and Eugen Viktor Feller, who was born to a Polish Jew named David Feller and an Austrian named Elsa Holzer. Eugen was a famous chemist and created Elsa fluid named after his mother. According to Gian-Carlo Rota, Feller's father's surname was a "Slavic tongue twister", which William changed at the age of twenty—but as can be seen, this claim was false. His christened name, Vilibald, was chosen by his Catholic mother for the saint day of his birthday. In his school documentation, the small municipality of Donja Stubica in Zagorje is mentioned. This is the birthplace of his father, who was an apothecary and owner of a company producing hygienic utensils and cosmetics.

William finished his elementary and middle education in Zagreb, as well as two years of his math study. From 1925, he continued his study in Göttingen, Germany where he gained the doctoral degree in 1926 under the supervision of Richard Courant, with his work Über algebraisch rektifizierbare transzendente Kurven.

Feller held a docent position at the University of Kiel beginning in 1928. Because he refused to sign a Nazi oath, he fled the Nazis and went to Copenhagen, Denmark in 1933. He also lectured in Sweden ( and Lund). As a refugee in Sweden, Feller reported being troubled by increasing fascism at the universities. He reported that the mathematician Torsten Carleman would offer his opinion that Jews and foreigners should be executed.


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