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Glen E. Baxter

From Wikipedia, the free encyclopedia
Glen E. Baxter
Born(1930-03-19)March 19, 1930
DiedMarch 30, 1983(1983-03-30) (aged 53)
Alma materUniversity of Minnesota
Known forBaxter permutation
Rota–Baxter algebra
SpouseReberta Baxter
Scientific career
FieldsMathematics
InstitutionsUniversity of California at San Diego
University of Aarhus
Purdue University
Doctoral advisorMonroe D. Donsker

Glen Earl Baxter (March 19, 1930 – March 30, 1983) was an American mathematician.

Baxter's fields of research include probability theory, combinatorial analysis, statistical mechanics and functional analysis. He is known for the Baxter strong limit theorem. Lately, his 1960 work[1] on the derivation of a specific operator identity that later bore his name, the Rota–Baxter identity, and emanated from some of the fundamental results of the famous probabilist Frank Spitzer in random walk theory has received attention in fields as remote as renormalization theory in perturbative quantum field theory.[2][3]

In 1983 the Glen E. Baxter Memorial Fund was established by family and friends at Purdue University.[4]

References

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  1. ^ Baxter, G. (1960). "An analytic problem whose solution follows from a simple algebraic identity". Pacific J. Math. 10 (3): 731–742. doi:10.2140/pjm.1960.10.731. MR 0119224.
  2. ^ K. Ebrahimi-Fard, L. Guo, Rota–Baxter Algebras in Renormalization of Perturbative Quantum Field Theory, Fields Institute Communications, 50, 47–105, (2007). [1]
  3. ^ A. Connes, D. Kreimer, Renormalization in quantum field theory and the Riemann–Hilbert problem I. The Hopf algebra structure of graphs and the main theorem, Commun. in Math. Phys., 210, 249–273, (2000).[2]
  4. ^ Purdue University (Department of Statistics): Recipients of the Baxter Award
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