Olav Kallenberg

Short description: Swedish American mathematician

Olav Kallenberg

Education| Royal Institute of Technology
Chalmers University of Technology
Awards| Rollo Davidson Prize
Scientific career
Institutions| Uppsala University
Auburn University
Doctoral advisor| Harald Bergström

Olav Kallenberg (born 1939) is a probability theorist known for his work on exchangeable stochastic processes and for his graduate-level textbooks and monographs. Kallenberg is a professor of mathematics at Auburn University in Alabama in the USA.[1]

From 1991 to 1994, Kallenberg served as the Editor-in-Chief of Probability Theory and Related Fields (a leading journal in probability).[2]

## Contents

* 1 Biography
* 1.1 Sweden
* 1.2 United States
* 2 Honours and awards
* 3 Selected publications
* 3.1 Books
* 3.2 Scientific papers
* 4 References
* 5 External links

## Biography

Olav Kallenberg was educated in Sweden. He has worked as a probabilist in Sweden and in the United States.[citation needed]

### Sweden

Kallenberg was born and educated in Sweden, with an undergraduate exam in engineering physics from Royal Institute of Technology (KTH) in Stockholm. Kallenberg entered doctoral studies in mathematical statistics at KTH, but left his studies to work in operations analysis for a consulting firm in Gothenburg. While in Gothenburg, Kallenberg also taught at Chalmers University of Technology, from which he received his Ph.D. in 1972 under the supervision of Harald Bergström.[3][4] After earning his doctoral degree, Kallenberg stayed with Chalmers as a lecturer.[citation needed]

Kallenberg was appointed a full professor in Uppsala University.[citation needed]

### United States

Later he moved to the United States. Since 1986, he has been Professor of Mathematics and Statistics at Auburn University.[citation needed]

## Honours and awards

In 1977, Kallenberg was awarded the Rollo Davidson Prize from Cambridge University, and Kallenberg was only the second recipient of the prize in history.[5]

Kallenberg is a Fellow of the Institute of Mathematical Statistics.[6]

In April 2006 Kallenberg was selected Auburn's 32nd annual Distinguished Graduate Faculty Lecturer at Auburn.[7] Kallenberg delivered the 2003 AACTM Lewis-Parker Lecture at the University of Alabama in Huntsville.[8]

## Selected publications

### Books

* Kallenberg, O., Probabilistic Symmetries and Invariance Principles. Springer -Verlag, New York (2005). 510 pp. ISBN:0-387-25115-4.[9]
* Kallenberg, O., Foundations of Modern Probability, 2nd ed. Springer Series in Statistics. (2002). 650 pp. ISBN:0-387-95313-2; 3rd ed. Probability Theory and Stochastic Modelling. (2021). 946 pp. ISBN:978-3-030-61870-4
* Kallenberg, O., Random Measures, 4th edition. Academic Press, New York, London; Akademie-Verlag, Berlin (1986). MR0854102

### Scientific papers

* Homogeneity and the strong Markov property. Ann. Probab. 15 (1987), 213-240.
* Spreading and predictable sampling in exchangeable sequences and processes. Ann. Probab. 16 (1988), 508-534.
* Multiple integration with respect to Poisson and Lévy processes (with J. Szulga). Probab. Th. Rel. Fields (1989), 101-134.
* General Wald-type identities for exchangeable sequences and processes. Probab. Th. Rel. Fields 83 (1989), 447-487.
* Random time change and an integral representation for marked stopping times. Probab. Th. Rel. Fields 86 (1990), 167-202.
* Some dimension-free features of vector-valued martingales (with R. Sztencel). Probab. Th. Rel. Fields 88 (1991), 215-247.
* Symmetries on random arrays and set-indexed processes. J. Theor. Probab. 5 (1992), 727-765.
* Random arrays and functionals with multivariate rotational symmetries. Probab. Th. Rel. Fields 103 (1995), 91-141.
* On the existence of universal functional solutions to classical SDEs. Ann. Probab. 24 (1996), 196-205.

## References

1. ↑ Faculty profile, Auburn University, retrieved 2013-12-20.
2. ↑ Author biography from Foundations of Modern Probability, 2nd ed. (Springer, 2002).
3. ↑ Kallenberg, Olav (1972). Characterization and convergence of random measures and point processes.. Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, 0346-718X ; 42. Gothenburg. libris: 97984.
4. ↑ Olav Kallenberg at the Mathematics Genealogy Project
5. ↑ ROLLO DAVIDSON AWARDS, Rollo Davidson Trust, Cambridge University. Accessed January 24, 2010
6. ↑ IMS Awards , Institute of Mathematical Statistics. Accessed January 24, 2010
7. ↑ Math professor named Distinguished Graduate Faculty Lecturer for 2006, AU Report, Vol. 39, no. 11, March 2006. Accessed January 24, 2010
8. ↑ 2003 AACTM Lewis-Parker Lecturer Prof. Olav Kallenberg, Alabama Association of College Teachers of Mathematics. Accessed January 24, 2010
9. ↑ Diaconis, Persi (2009). "Book review: Probabilistic symmetries and invariance principles (Olav Kallenberg, Springer, New York, 2005)". Bulletin of the American Mathematical Society. New Series 46 (4): 691–696. doi:10.1090/S0273-0979-09-01262-2. https://www.ams.org/journals/bull/2009-46-04/S0273-0979-09-01262-2/home.html.

## External links

* Brief CV for the 2003 Lewis-Parker Lecturer .

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