Christian Grillenberger

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Christian Grillenberger (born October 14, 1941 in Pappenheim ; † May 25, 1998 in Kassel ) was a German mathematician who was particularly concerned with ergodic theory .

Life

Christian Grillenberger was born in Pappenheim in 1941 as the son of a Protestant pastor . He studied at the University of Erlangen-Nuremberg and received his doctorate there in 1970. Dr. rer. nat. with the dissertation Two combinatorial constructions for strictly ergodic consequences . His doctoral supervisor was Konrad Jacobs (the second speaker was Heinz Bauer ). In his dissertation and in subsequent work, he first constructed K systems and Bernoulli systems with clear ergodic dimensions .

He then moved to the Institute for Mathematical Stochastics at the Georg-August University in Göttingen , where he worked as a research assistant from 1971 to 1982 with one interruption . There he worked closely with Ulrich Krengel , for example in the proof of the Grillenberger-Krengel theorem (Math. Z.149, 131–154 (1976)).

In the winter semester 1975/76 he qualified as a professor in mathematics. In 1976 his work Ergodic theory on compact spaces came out, which he wrote together with Manfred Denker and Karl Sigmund . His habilitation thesis went into this much-cited work.

From April 1980 he tried to complete an agricultural apprenticeship. He broke off his apprenticeship in July 1981.

In 1982 he switched to the mathematics and computer science department of the University of Kassel as an academic advisor and private lecturer . In 1997, Grillenberger was appointed Associate Professor . On May 25, 1998, at the age of 56, he died of a heart attack in Kassel .

Works (selection)

  • Two combinatorial constructions for strictly ergodic sequences . Erlangen-Nuremberg 1970 (dissertation).
  • Construction of strictly ergodic systems I, II, Z. f. Probability Theory and Related Fields, Volume 25, 1973, pp. 323-334, 335-342
  • with Paul Shields : Construction of strictly ergodic systems III: A Bernoulli system , Z. f. Probability Theory and Allied Areas, Volume 33, 1975, pp. 215-217
  • with Ulrich Krengel : On marginal distributions and isomorphisms of stationary processes, Math. Z., Volume 149, 1976, pp. 131-154
  • Ensembles minimaux sans mesure d'entropie maximal . In: Monthly books for mathematics , Volume 82, 1976, pp. 275–286.
  • with Manfred Denker and Karl Sigmund: Ergodic theory on compact spaces . Lecture notes in Mathematics 527, Springer 1976. ISBN 978-3540077978 .
  • with Herbert Ziezold: On the critical infection rate of the one dimensional basic contact process: numerical results . Journal of Applied Probability, Volume 25, 1988, pp. 1-8
  • Probability-theoretical calculations for an infinite file storage model by L. Wegner . Mathematical Writings Kassel, University of Kassel 1991.
  • together with Mustapha Ayaita: A permutation test to compare mussel populations . Mathematical Writings Kassel, University of Kassel 1994.

Web links

Individual evidence

  1. ^ Christian Grillenberger in the Mathematics Genealogy Project
  2. ^ Karl Petersen, Ergodic Theory, Cambridge UP 1983, p. 187
  3. ↑ Christian Grillenberger: Ensembles minimaux sans mesure d'entropy maximum, p 275 GDZ Göttingen
personal data
SURNAME Grillenberger, Christian
BRIEF DESCRIPTION German mathematician and physicist
DATE OF BIRTH October 14, 1941
PLACE OF BIRTH Pappenheim
DATE OF DEATH May 25, 1998
Place of death kassel