Glen Baxter (mathematician)
Glen Earl Baxter (born March 19, 1930 in Minneapolis , Minnesota , † March 30, 1983 ) was an American mathematician . His main area of work was probability theory .
Baxter studied at the University of Minnesota in Minneapolis and did his doctorate there under Monroe D. Donsker in 1954 with a thesis on Gaussian processes , the main result of which was published in the proceedings of the AMS . After brief stays at the University of California, San Diego and Aarhus University , he finally became a professor at Purdue University , where he remained until the end of his life. Under the influence of Erik Sparre Andersen , he turned in Aarhus to the fluctuation theory founded by him . With the Wiener-Hopf method he developed , he achieved the most far-reaching results in this area to date. His work An analytic problem whose solution follows from a simple algebraic identity from 1960, in which he worked out and abstracted the combinatorial core of the original proof of Spitzer's formula, became even better known . These ideas were finally taken up by Gian-Carlo Rota and others, from which the theory of Rota-Baxter algebras developed, which today extends into quantum field theory .
Individual evidence
- ↑ Glen Earl Baxter in the Mathematics Genealogy Project (English)
- ↑ G. Baxter: A strong limit theorem for Gaussian processes (PDF) 1956.
- ^ G. Baxter: An analytic problem whose solution follows from a simple algebraic identity. 1960.
- ↑ G.-C. Rota : Baxter algebras and combinatorial identities. I. 1969.
personal data | |
---|---|
SURNAME | Baxter, Glen |
ALTERNATIVE NAMES | Baxter, Glen Earl (full name) |
BRIEF DESCRIPTION | American mathematician |
DATE OF BIRTH | March 19, 1930 |
PLACE OF BIRTH | Minneapolis , Minnesota |
DATE OF DEATH | March 30, 1983 |