Klaus Matthes

Klaus Matthes ( born January 20, 1931 in Berlin, † March 9, 1998 ) was a German mathematician. He worked from 1964 to 1968 as a professor at the University of Jena, including since 1966 as dean. From 1969 he was at the Central Institute of Mathematics and Mechanics of the German Academy of Sciences in Berlin, the later Academy of Sciences of the GDR, works which he served as director from 1973. From 1981 to 1991 he served as director of the Academy - Institute for Mathematics. He focused particularly on questions of probability theory.

Life

Klaus Matthes was born in Berlin in 1931 and studied from 1948 to 1954 Mathematics at the Humboldt University in Berlin. Subsequently, he was from 1956 to 1961 worked as an assistant at the Humboldt University, where he in 1958 Heinrich Grell and Kurt Schröder also gained a doctorate in 1963 and his habilitation under Willi Rinow and Rolf Reissig. A year earlier he had provisionally taken over the management of the Institute of Mathematics at the Technical University of Ilmenau. From 1964 to 1968 he was then appointed professor of mathematics at the University of Jena, where he also served as Dean of the Faculty of Mathematics and Natural Science Faculty from 1966.

In 1969 he moved to the Berlin-based Central Institute of Mathematics and Mechanics of the German Academy of Sciences in Berlin, the later Academy of Sciences of the GDR ( Academy of Sciences ). From 1970 he served as deputy director of the Institute complex mathematics in the research community of the Academy. A year later, he became a deputy director in 1973 and then Director of the Central Institute in Berlin. From 1981 to 1991 he directed the Academy -Institute for Mathematics, which as of 1985 the name " Karl- Weierstrass - Institute of Mathematics " was and was re-established after the German reunification as Weierstrass Institute for Applied Analysis and Stochastics.

Klaus Matthes was married to the dramaturge Gisela White and father of two sons. He died in 1998 in his hometown of Berlin.

Scientific work

The scientific work of Klaus Matthes was the probability theory. He has been dealing with point processes and their application in the field of queuing theory and with branching processes. In queuing theory, which he called "Operation theory ", he studied so-called loss systems such as the Erlang and Engset model. He turned to the first point process methods at a high level. Klaus Matthes may be regarded as the founder of the theory of marked point processes and infinitely divisible. He was, together with Johannes Kerstan and Joseph Mecke, one of the leaders of the East German point process school, which is very influential today, particularly in the case of stochastic modeling, such as in stochastic geometry.

In the context of limit theorems for the superposition of point processes he came - a suggestion of Boris Vladimirovich Gnedenko, following which he had given in 1960 in a lecture at the Sixth Union Congress on Probability and Statistics in Vilnius - the problem of infinite divisibility of point processes. He and his co-workers studied the structure systematically, culminating Unlimited divisible point processes in the monograph. It was translated into English in 1978 ( Infinitely Divisible Point Processes) and 1982 into Russian. Thus were closely linked spatial branching processes and the study of equilibrium distributions and their structure with which Matthes employed until the end of his life.

On Matthes ' ​​initiative based also held today " Euler lectures in Sanssouci ". This event, a mathematics lecture in a festive atmosphere is borne jointly by the Berlin and Potsdam Mathematical institutes.

Awards

Klaus Matthes was from 1974 and from 1980 to 1992 corresponding member of the Academy of Sciences of the GDR. In addition, he was awarded the 1971 National Prize of the GDR as well as the 1983 Patriotic Order of Merit in bronze.

Works (selection)

  • On the theory of operation processes. In: Transactions of the 3rd. Prague Conference on Information Theory. Prague, pp. 513-528
  • Stationary random point sequences, I.: . Annual reports of the German Mathematical Society. 66/1963, pp. 66-79, ISSN 0012-0456
  • Stationary random point sequences, Jr. In: . Annual reports of the German Mathematical Society. 66/1963, pp. 106-118
  • Generalizations of Erlangschen and Engsetschen formulas. Akademie-Verlag Berlin, 1967 ( co-author )
  • Generalizations of a theorem of Dobrushin I. In: Mathematical messages. Volume 47, 1970, pp. 183-244, ISSN 0025- 584x (as co-author)
  • Generalizations of a theorem of Dobrushin III. In: Mathematical messages. Volume 50 1971, p 99-139 ( co-author )
  • Infinitely divisible point processes. Akademie-Verlag, Berlin. 1974th series: Mathematical textbooks and monographs; Vol 27 ( co-author )
  • Infinitely divisible Point Processes. John Wiley & Sons, Chichester, 1978 series. Wiley Series in Probability and Mathematical Statistics. (as co-author)
  • Critical branching processes with general phase space, XI. In: Mathematical messages. Vol 128. 1986, pp. 141-149
  • Equilibrium Distributions of Branching Processes. Akademie-Verlag Berlin, 1988 Series: Mathematical Research, . ISBN 3-05-500453-1 42 ( co-author )
  • Equilibrium Distributions of Age Dependent Galton Watson Processes I. In: Mathematical messages. Vol 156. 1992, pp. 233-267 ( co-author )
  • Equilibrium Distributions of Age Dependent Galton Watson processes II In: Mathematical messages. Vol 160.1993, pp. 313-324 ( co-author )
  • Recurrence of Ancestral Lines and Offspring Trees in Stationary Time Branching Populations. Berlin 1994 ( co-author )
German Academy of Sciences at Berlin Dean (education) Dietrich Stoyan Integrated Authority File
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