Hans Joachim Bremermann

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Hans-Joachim Bremermann

Hans Joachim Bremermann (born September 14, 1926 in Bremen ; † February 21, 1996 in Berkeley ) was a German-American mathematician and physicist who dealt with quantum field theory and complex analysis.

Life

Bremermann studied at the Westfälische Wilhelms-Universität in Münster , where he passed his teacher examination in mathematics and physics and received his doctorate in complex analysis (functions of several complex variables) under Heinrich Behnke in 1951 (the characterization of regions of regularity using pseudoconvex functions). In 1952 he went as a postdoc at the Stanford University and in 1953 at the Harvard University . In 1954/55 he was back in Münster after he had married the Romanist Maria Perez-Ojed in the USA in 1954. From 1955 to 1957 and 1958/1959 he was at the Institute for Advanced Study . 1957/58 he was an assistant professor at the University of Washington in Seattle . Here he began to be interested in mathematical models of evolution and heredity. From 1959 he was Associate Professor of Mathematics at the University of California, Berkeley , where he became Professor of Mathematics and Biophysics in 1966, but also dealt with computer science (complexity theory, pattern recognition, artificial intelligence) and applied evolutionary algorithms as early as the 1960s. In the 1980s he continued to work on mathematical models in biology, for example for parasitic behavior and the spread of diseases such as plant diseases and AIDS, cancer. In 1991 he retired. He died of cancer in 1996.

In 1965 he became a US citizen.

In 1962 he gave a lecture at the International Congress of Mathematicians in Stockholm ( Quantum theoretical limitations of data processing ).

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In his dissertation in 1951 he dealt with a special case of Levi's problem in the theory of several complex variables. Eugenio Elia Levi asked in 1910 whether every pseudoconvex area is a holomorphic area , which Kiyoshi Oka proved in 1942 for two complex variables. Bremermann later found a proof for any number of complex variables (On the equivalence of the pseudoconvex areas and the holomorphic areas in the space of n complex variables, Mathematische Annalen, Vol. 128, 1954, pp. 63-91), and independently of him also François Norguet .

In 1961 Bremermann developed his own approach to the theory of distributions via boundary values ​​of analytical functions with L. Durand .

In 1957 he applied methods of complex analysis in joint work with Reinhard Oehme and John Gerald Taylor in quantum field theory.

As mentioned above, he later mainly dealt with mathematical models of biology, for example the simulation of the spread of AIDS.

The so-called Bremermann border is named after him. From the equivalence of mass and energy E = mc² and the uncertainty relation , he derived the knowledge that symbols can only be processed at a speed of bit / gram / second. In cryptography, this value provides a theoretical minimum length for a code which, in principle, cannot be solved with the brute force method of trying out all keys in a given period of time. For example, a computer the size and weight of the earth working on the Bremermann boundary could perform calculations per second.

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Individual evidence

  1. ↑ Partly in collaboration with Woody Bledsoe
  2. ↑ Even in Münster he heard lectures on Turing machines from Heinrich Scholz
personal data
SURNAME Bremermann, Hans Joachim
BRIEF DESCRIPTION German-American mathematician and physicist
DATE OF BIRTH September 14, 1926
PLACE OF BIRTH Bremen
DATE OF DEATH February 21, 1996
Place of death Berkeley