Dietrich Stoyan
From Wikipedia, the free encyclopedia
Dietrich Stoyan (born 1940, Germany) — mathematician, statistician; study of Mathematics at Technical University Dresden; applied research at Deutsches Brennstoffinstitut Freiberg, 1967 PhD, 1975 Habilitation. Since 1976 at TU Bergakademie Freiberg, President of that university in 1991—1997; he became famous by his statistical research of the diffusion of Euro coins in Germany and Europe after introduction of the Euro in 2002.
[edit] Research
Queueing Theory: Qualitative theory, in particular inequalities, for queueing systems and related stochastic models. The books
D. Stoyan: Comparison Methods for Queues and other Stochastic Models. J. Wiley and Sons, Chichester, 1983
and
A. Mueller and D. Stoyan: Comparison Methods for Stochastic Models and Risks, J. Wiley and Sons, Chichester, 2002
report on the results. The work goes back until 1969 where he discovered the monotonicity of the GI/G/1 waiting times with respect to the convex order.
Stochastic Geometry: Stereological formulas, applications for marked point process, development of stochastic models. Successful joint work with Joseph Mecke led to the first exact proof of the fundamental stereological formulas.
The books
D. Stoyan, W.S. Kendall and J. Mecke: Stochastic Geometry and its Applications, J. Wiley \& Sons, Chichester, 1987 and 1995
report on the results. The book of 1995 is the key reference for applied stochastic geometry.
Spatial Statistics: Statistical methods for point processes, random sets and many other random geometrical structures such as fibre processes. Results can be found in the 1995 book on stochastic geometry and in the book
D. and H. Stoyan: Fractals, Random Shapes and Point Fields. J. Wiley and Sons, Chichester, 1994.
A particular strength of Stoyan are second-order methods.
At the moment Dietrich Stoyan is working (together with three colleagues) for a new book on point process statistics. He used packings of hard spheres as models for materials with the aim to solve mechanical problems for random heterogeneous materials.
Stoyan is very active in demonstrating non-mathematicians and non-statisticians the potential of statistical and stochastic geometrical methods. In particular, he coorganized together with Klaus Mecke conferences where physicists, geometers and statisticians met. See the books
Klaus R. Mecke and D. Stoyan (eds.): Statistical Physics and Spatial Statistics. Lecture Notes in Physics 554, Springer-Verlag, 2000
and
Klaus R. Mecke and D. Stoyan (eds.): Morphology of Condensed Matter. Lecture Notes in Physics 600, Springer-Verlag, 2002.
