CURRICULUM VITAE
J. Laurie Snell
P ERSONAL D ATA
Address:
Department of Mathematics
Dartmouth College
Hanover, NH 03755
Born:
January 15, l925
Marital:
Married, two children
Phone:
(603)–646–2951 (Office)
(603)–643–3347 (Home)
E DUCATION
Ph.D.
M.A.
A.B.
University of Illinois
University of Illinois
University of Illinois
1951
1948
1947
T EACHING AND P ROFESSIONAL E XPERIENCE
1998–2000
1996–
Visiting Professor Duxx Graduate School of Business Leaderlship
Fellow of American Statistical Association
1996–Spring Visiting Professor Princeton University
1995– Benjamin Cheney Professor of Mathematics Emeritus
1962–1995 Benjamin Cheney Professor of Mathematics at Dartmouth College
1993–Spring Visiting scholar University of California San Diego
1992–1993
1991–Fall
On faculty of Master of Arts in Liberal Studies Program at Dartmouth
Visiting Professor Princeton University
1986–1990
1984–1986
1974–1975
1971–1973
1964–1965
1962–1964
1958–1959
1958–1962
Chair of Master of Arts in Liberal Studies Program at Dartmouth College
Vice Chairman of Department of Mathematics at Dartmouth College
Visiting Professor at Bonn University
Chairman of Department of Mathematics at Dartmouth College
Acting Chairman of Department of Mathematics at Dartmouth College
Vice Chairman of Department of Mathematics at Dartmouth College
NSF Fellowship to work at Stanford University
Associate Professor at Dartmouth College
1956–Fall Exchange Professor at University of Paris
1956–Spring Visiting Professor in Department of Sociology at Stanford University
1954–1958 Assistant Professor at Dartmouth College
1951–1954
1950–1951
Fine Instructor at Princeton University
Instructor at University of Illinois
C OLLABORATORS
My research has been in probability theory and its applications. My thesis was on martingales and was written under the supervision of Professor J. L. Doob. I worked with
Professors John G. Kemeny and Gerald Thompson to develop a new course at Dartmouth:
Finite Mathematics . Most of my research has dealt with Markov chains. John G. Kemeny and I investigated connections between Markov chain theory and potential theory and developed new ways to compute fundamental descritiptive quantities for Markov chains.
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More recently, I have worked with Professor Peter Doyle on connections between Markov chains and electric networks.
B OOKS AND MONOGRAPHS
1.
Introduction to Finite Mathematics (with John G. Kemeny and G.L. Thompson),
Prentice-Hall, 1957.
2.
Finite Mathematical Structures (with John G. Kemeny, Hazelton Mirkel, and G.L.
Thompson), Prentice-Hall, 1959.
3.
Modern Mathematical Methods and Models , Vol. 1 and 2. (Co-author of Mathematics
Association books.) University of Buffalo, 1958.
4.
Finte Markov Chains (with John G. Kemeny). Van Nostrand, 1960. Reprinted by
Springer-Verlag, 1975.
5.
Types of Formalization in Small Group Research (with J. Berger B.P. Cohen, M.
Zelditch). Houghton Mifflin Co., 1962.
6.
Mathematical Models in the Social Sciences (with J.G. Kemeny). Ginn and Co., 1962.
New Printing, MIT Press, 1972.
7.
Finite Mathematics with Business Applications (with John G. Kemeny, A. Scheifer, and G.L. Thompson). Prentice-Hall, 1962.
8.
Denumerable Markov Chains (with J.G. Kemeny and A.W. Knapp). Van Nostrand,
1966. New edition, Springer-Verlag, 1975.
9.
Introduction to Probability Theory with Computing , Prentice-Hall, 1975.
10.
Markov Random Fields and their Applications , (with Ross Kinderman). Contemporary Math Series No. l. American Math Society, 1980.
11.
Random Walks and Electric Networks , (with Peter Doyle). Carus Monogragh No. 22
The Mathematical Association of American 1984.
12.
Introduction to Probability , Random House-Birkhauser, 1988 (First edition published
McGraw Hill).
13.
Introduction to Probability , (with Charles Grinstead) Available on the Web with accompanying computer programs at http://www.geom.umn.edu/locate/chance and published by American Mathematical Society, 1997. ).
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A RTICLES
1. Applications of martingale system theorems.
Transactions of the American Mathematical Society , Vol 73, 1952, pp. 292-312.
2. On the Concept of Equal Exchange, with J. Berger.
Behavorial Science , Vol. 2, April
1957.
3. Markov Processes in Learning Theory, with John G. Kemeny.
Psychometrika , Vol.
22, No. 3, September 1957.
4. Game-Theoretic Solution of Baccarat, with John G. Kemeny.
American Mathematical
Monthly , No. 7, Aug-Sept 1957.
5. Semimartingales of Markov Chains, with J.G. Kemeny.
The Annals of Mathematical
Statistics , Vol. 29, No. 1, March 1958.
6. Finite Markov Chains and their Applications, American Mathematical Monthly , Vol.
66, No. 2, Feb. 1959.
7. Applications of Boundary Theory to Sums of Independent Random Variables, with
J.L. Doob and R.E. Williamson. Chapter 16 in Contributions to Probability and
Statistics , Stanford University Press, Stanford, California, 1960.
8. A Martingale Representation Theorem, with R.E. Williamson.
Journal of Math. and
Mechanics , Vol. 9, No. 4, July 1960, pp. 653-662.
9. Finite Continuous Time Markov Chains, with J.G. Kemeny.
Theory of Probability and its Applications (Russian), Vol. VI, No. 1, 1961, pp. 111-115.
10. On Markov Chain Potentials, with J.G. Kemeny.
The Annals of Mathematical Statistics , Vol. 32, No. 3, 1961, pp. 709-715.
11. Notes on Discrete Potential Theory, with J.G. Kemeny.
Journal of Mathematical
Analysis and Application , Vol. 3, No. 1, Aug. 196l.
12. Potentials for Denumerable Markov Chains, with J.G. Kemeny.
Journal of Mathematical Analysis and Applications , Vol. 3, No. 2, Oct. 1961, pp. 196-260.
13. Boundary Theory for Recurrent Markov Chains, with J.G. Kemeny.
Transactions of
American Mathematical Society , Vol. 106, No. 3, 1963, pp. 495-520.
14. A New Potential Operator for Recurrent Markov Chains, with J.G. Kemeny.
Journal
London Mathematical Society 38, 1963, pp. 359-371.
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15. Martin Boundaries for Certain Markov Chains, with J., Lamperti.
Journal of the
Mathematical Society of Japan , Vol. 15, No. 2, April 1963, pp. 113-128.
16. Stochastic Processes, in Handbook of Mathematical Psychology , Vol. III, pp. 412-488,
(edited by Luce, Bush and Galanter), Wiley, 1965.
17. Excessive Functions of Continuous Time Markov Chains, with J.G. Kemeny.
Journal of Combinatorial Theory , Vol. 3, No. 3, October 1967, p. 278.
18. Excessive Functions for a Class of Continuous Time Markov Chains in Markov Processes and Potential Theory , edited by J. Chover, Wiley, 1967.
19. Markov Chains and Summability Theory, with J.G. Kemeny.
Z. Wahrscheinlichkeitstheorie und Verw.
Geb. 18, 1971, pp. 17-33.
20. On the Proofs of Two Theorems in Probabilistic Potential Theory, Lecture Notes in
Mathematics , 190, Martingales, pp. 49-60, Springer-Verlag, 1970.
21. Computing in a Probability Course, Proceedings of the Conference on Computers in the Undergraduate Curricula, Dartmouth 1971.
22. A Problem of Optimal Stopping in the Stock Market, with David S. Griffeath.
Annals of Probability , Vol. 2, No. 1, 1974, pp. 1-13.
23. An Inner Variational Principle for Markov Fields on a Graph, with H. Fllmer.
Z.
Wahrscheinlichkeitstheorie und Verw. Gebiete 39, 1977, pp. 187-195.
24. A Branching Process Showing A Phase Transition, with T. Moore.
Journal of Applied
Probability 16, 1979, pp. 252-260.
25. On the Relation Between Markov Random Fields and Social Networks, with R. Kindermann.
Journal of Mathematical Sociology , Vol. 7, No. 1, 1980, pp. 1 -13.
26. Gambling, Probability, and Martingales, The Mathematical Intelligencer , Vol. 4, No.
3, 1982.
27. The use of the computer in teaching probability, with John Finn in Computers and
Mathematics edited by David A. Smith MAA Notes Number 9, The Mathematical
Association of America, 1988.
28. Does the Computer Help Us Understand Statistics? (with W. Peterson).
Statistics for the Twenty First Century , Florence and Shelly Gordon, editors, MAA 1992
29. The Evil Twin Strategy for a Football Pool. (with Joseph DeStafano) American
Mathematical Monthy April 1993
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30.
A Course Called Chance with John Finn Chance magazine, Vol. 5, No. 2, Winter
1992, American Statistical Association and Springer-Verlag.
31. Chance News. A bi-weekly electronic newsletter that abstracts current articles in the news that involve probability or statistical concepts. Started in Sept. 1992.
32 Teaching Tidbits: A column in the electronic journal Journal of Statistical Education ,
1993-1996. Co-Editor Joan Garfield.
33 To Teach, per Chance To Dream.
Notices of the American Mathematical Society ,
August 1999
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