Gilbert Hunt

Gilbert Agnew Hunt, Jr. (March 4, 1916 – May 30, 2008) was an American mathematician and amateur tennis player active in the 1930s and 1940s.

Early life and education
Hunt was born in Washington, D.C. and attended Eastern High School.

Tennis career
Hunt reached the quarterfinals of the U.S. National Championships in 1938 and 1939.

Scientific career
Hunt received his bachelor's degree from George Washington University in 1938 and his Ph.D. from Princeton University in 1948 under Salomon Bochner. Hunt became a mathematics professor at Princeton University specializing in probability theory, Markov processes, and potential theory.

The Hunt process is named after him. He was an Invited Speaker at the ICM in 1962 in Stockholm. His doctoral students include Robert McCallum Blumenthal and Richard M. Dudley.

Hunt's theorem
"Hunt's theorem states that for a large class of positive kernels $V$ satisfying "the complete maximum principle" of potential theory, there corresponds a contraction resolvent and associated sub-Markovian semigroup $P_t$ with
 * $V f= \int_0^\infty P_t f dt~.$ ($V$ is called the "potential kernel" of the semigroup.)"

Selected publications

 * with Paul Erdős:
 * with Paul Erdős: