Glen Baxter (mathematician)

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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

  1. ↑ Glen Earl Baxter in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used Template: MathGenealogyProject / Maintenance / name used
  2. ↑ G. Baxter: A strong limit theorem for Gaussian processes (PDF) 1956.
  3. ^ G. Baxter: An analytic problem whose solution follows from a simple algebraic identity. 1960.
  4. ↑ 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