CV and publication list for Flemming Topsøe

CV

Born August 25, 1938 in AArhus, mag.scient. 1962 from the University of AArhus, 1965-66 studies at the University of Cambridge, England, dr. phil. 1971 from KU (thesis: "Topology and Measure", Springer, russian edition 1972). Employed since January 1, 1964 at KU, Department of Mathematics, presently as associate professor ("docent"). Guest professor in Germany: Freiburg 1973, Munster1984. Chairman, Danish Mathematical Society, 1978-82. From 1983-around 1998 involved in various activity aiming, in particular, at providing internet based services for user communities in mathematics in Europe, Russia and other countries (under the generic project name "Euromath"). Received the Hlavka memorial medal in 1992 by the Czechoslovak Academy of Sciences, honorary professor 1994 at the University of Kent at Canterbury, in 2006 awarded the B. Bolzano honorary medal, "... the highest recognition of achievements in the mathematical sciences awarded by the Czech Academy of Sciences".

ADMINISTRATION AND ORGANISATION

Extensive experience in this area. Main focus 1983-98 has been on international collaboration aiming at establishing a modern research infrastructure for the mathematical sciences, built on information technology and modern telecommunication. Several major posts in Denmark and abroad, founder or co-founder of centers in Denmark and in England. Main responsibility for several projects, sponsored by EU, INTAS, NATO and others (largest involved 59 research centres in 6 of the fSU countries). Formal posts include chairmanships of the Danish Mathematical Society 1979-83 and of the European Mathematical Trust (1987-1998).

PROMOTIONAL ACTIVITY

Participation in several science festivals (one international, in Edinburgh, 1999, latest one in September 2004), developed "stand-up mathematics" for the European Cultural City activities, Copenhagen 1996, frequent lecturer for high school students and others.

TEACHING EXPERIENCE

Extensive experience at all levels. FT finds teaching important, stimulating and rewarding. Three teaching monographs, most recent one from 2002 on logic and other foundational issues, reflecting FT's (successful) endeavours to introduce training in logic as a permanent part of the general mathematics curriculum.

RECENT RESEARCH

After the exciting and hectic period with international collaboration, FT again took up intense research activity, now aiming only at information theory and its applications. From 1998 onwards, Peter Harremoes has been a central collaborator for this activity. Organized in 2001 the trans- disciplinary conference "Information Theory and its applications in biology, physics and finance" by invitation at the Banach Center in Warsaw. Coordinator for INTAS-project: "Efficient source coding and related problems" 2001-2004. A number of invited and other talks since 1998 on information theory and its applications. Two research monographs, about 60 papers in refereed journals, several proceedings contributions. The following paper won a best paper award: "Bounds for entropy and divergence for distributions over a two-element set", JIPAM. J. Inequal. Pure Appl. Math. 2 (2001), no. 2, Article 25, 13 pp. (electronic)

PUBLICATIONS OF FLEMMING TOPSØE, 2000-2004 (only published or accepted)

• "Information Theory at the Service of Science", to appear in a special volume of the Janos Bolyai Mathematical Society, Springer, 2004 (or 2005).
• with Peter Harremoës: "Zipf's Law, Hyperbolic Distributions and Entropy loss", to appear in Proceedings of Opening Conference General Theory of Information Transfer ZIF, Bielefeld, 2003, 2004 (or 2005).
• "Information Theory and Complexity in Probability and Statistics", in "Soft Methodology and Random Information Systems", advances in soft computing, Springer 2004, pp.363-370.
• "Some bounds for the logarithmic function", to appear in collection of contributions on inequalities, 2004 (or 2005), posted on the RGMIA preprint server, see http://rgmia.vu.edu.au/v7n2.html
• with Bent Fuglede: "Jensen-Shannon divergence and Hilbert space embedding", Proc., Internat. Symposium on Information Theory, Chicago, 2004, p. 31.
• with G. Kanadakis: "Entropy measures of physics via complexity", Proc. of the International Symposium on Information Theory, Chicago, 2004, p. 40.
• "Entropy and Equilibrium via Games of Complexity", Physica A, vol. 340, pp 11-31, 2004.
• with Alexei. A. Fedotov and Peter Harremoës: "Best Pinsker Bound equals Taylor Polynomial of Degree 49", Computational Technologies, vol. 8, no. 5, pp. 3-14, 2003.
• with Alexei. A. Fedotov and Peter Harremoës: "Refinements of Pinsker's Inequality", IEEE Trans. Inform. Theory, vol.49, 1491-1498, 2003.
• Lecture Notes in Danish: Matematik Y - Introduktion til abstrakt matematik, Matematisk Afdeling, Københavns Universitet, 2002 (161 sider)
• "Maximum Entropy versus Minimum Risk and Applications to some classical discrete Distributions", IEEE Trans. Inform. Theory, vol.48, 2368-2376, 2002.
• with Boris Ryabko: "On asymptotically optimal methods of prediction and adaptitive coding for Markov sources", Journal of Complexity, vol. 18, 224-241, 2002.
• with Peter Harremoës: "Unified Approach to Optimisation Techniques in Shannon theory", Proc. Int. Symp. Information Theory, p. 238, Lausanne June 2002.
• with Peter Harremoës: "Zipf's Law, Hyperbolic Distributions and Entropy loss". Proc. International Symposium on Information Theory, p. 207, June 2002.
• with J. Bøje Pedersen: "Block Symmetry in Discrete Memoryless Channels", Proc. 2002 IEEE Information Tgheory Workshop, Bangalore, pp. 131-134, 2002.
• "Entropy, some new lower bounds", Proc. 2002 IEEE Information Tgheory Workshop, Bangalore, p. 196, 2002.
• "Maximum Entropy and Applications to some classical discrete Distributions", Proc. 2002 IEEE Information Theory Workshop, Bangalore, pp. 104-107, 2002.
• "Basic Concepts, Identities and Inequalities -- the Toolkit of Information Theory", Entropy, vol. 3, 162-190, 2001.
• "Bounds for Entropy and Divergence of Distributions over a Two-Element Set", J. Ineq. Pure Appl. Math., vol.2, Article 25, 13 pp, 2001.
• with Peter Harremoës: "Information Diagrams: Entropy, Index of Coincidence and Probability of Error", Proceedings of the International Symposium on Information Theory, p. 43, Washington, June 2001.
• with Alexei Fedotov and Peter Harremoës: "Vajda’s Tight Lower Bound and Refinements of Pinsker’s Inequality", Proceedings of the International Symposium on Information Theory, p. 20, Washington, June 2001.
• with Peter Harremoës: "Maximum Entropy Fundamentals", Entropy, vol. 3, no. 3, pp. 191- 226, Sept. 2001.
• with Peter Harremoës: "Inequalities between Entropy and Index of Coincidence derived from Information Diagrams", IEEE Trans. Information Theory, Vol. 47, no. 5, pp. 2944- 2960, Nov. 2001.
• "Some inequalities for information divergence and related measures of discrimination", IEEE Trans. Inform. Theory, vol.46, 1602-1609, 2000.