Laboratory of PopulationsJoel E. CohenAbby Rockefeller Mauzé Professor |

**
Yoshiaki Itoh**

July 1999

**Positions:**

Professor, Institute of Statistical Mathematics (a national interuniversity research institute in Tokyo), 4-6-7 Minami-Azabu, Minato-ku, Tokyo 106-8569, Japan

Telephone: 03-3446-1501, 03-5421-8763, Fax: 03-3446-1695, E-mail address: itoh@ism.ac.jp

Professor, Department of Statistical Science, Graduate University for Advanced Studies (a national university for Ph.D. education founded 1989) 4-6-7 Minami-Azabu Minato-ku Tokyo 106-8569, Japan.

Member of the Adjunct Faculty, The Rockefeller University, 1230 York Avenue, New York, New York 10021-6399, USA

**Place of birth:** Saitama-ken, Japan

**Date of birth: **August 17, 1943

**Nationality:** Japanese

**Mailing address:**

The Institute of Statistical Mathematics

4-6-7 Minami-Azabu Minato-ku

Tokyo 106-8569 Japan

**Phone:** +81 3 5421 8763

**Fax:** +81 3 3446 1695

**University education:**

1968: Bachelor of Science, University of Tokyo (earth science)

1970: Master of Science, Tokyo Institute of Technology (mathematics)

"The information theoretic proof of Kac's theorem"

1979: Doctor of Science, Tokyo Institute of Technology

"Stochastic models for interacting populations"

**Employment:**

Aug. 1972 - Sep. 1980, Researcher, The Institute of Statistical Mathematics

Oct. 1980 - Mar. 1985, Senior Researcher, The Institute of Statistical Mathematics

Apr. 1985 - Jan. 1988, Associate Professor, The Institute of Statistical Mathematics

Feb. 1988 - Present, Professor, The Institute of Statistical Mathematics

Apr. 1988 - Present, Professor, Department of Statistical Science, Graduate University for Advanced Studies

May. 1996- Present, Member of the Adjunct Faculty, The Rockefeller University

**Recent stays abroad:**

April - July 1995, research in Laboratory of Population of Rockefeller University, ATT Bell Laboratories, Mathematical Science Center of University of Wisconsin, in USA and INRIA in France

May - June 1996, research in Laboratory of Population of Rockefeller University, and ATT Bell Laboratory

September - October 1997, research in Laboratory of Population of Rockefeller University in USA and in INRIA in France

March - May 1999, research in Laboratory of Population of Rockefeller University, ATT Laboratories, Statistic Department of Rutgers University, in USA and INRIA in France

**Other activities:**

From April 1981, Associate Editor, *Annals of the Institute of Statistical Mathematics*

**Memberships:**

American Mathematical Society,

Bernoulli Society for Mathematical Statistics and Probability,

The Crystallographical Society of Japan,

International Statistical Institute,

The Mathematical Society of Japan,

The Physical Society of Japan,

The Statistical Society of Japan,

**Language:** Mother tongue: Japanese, good: English, French

**Publications**

1. Itoh Y.: The Information Theoretic Proof of Kac's Theorem, Proceedings of the Japan Academy, Vol.46, No.3 (1970) 283-386.

2. Itoh Y.: Boltzmann Equation on Some Algebraic Structure Concerning Struggle for Existence, Proceedings of the Japan Academy, Vol.47 (1971) 854-858.

3. Itoh Y.: On a ruin Problem with Interaction, Annals of the Institute of Statistical Mathematics, Vol.25, No.3 (1973) 635-641.

4. Itoh Y. and Ueda S.: The Model and Simulation of the Struggle for Existence, Proceedings of the Institute of Statistical Mathematics, Vol.23, No.1 (1975) 93-104. (in Japanese with English summary)

5. Itoh Y.: An H-Theorem for a System of Competing Species, Proceedings of the Japan Academy, Vol.51, No.6 (1975) 374-379.

6. Itoh Y.: Random Packing Model for Nomination of Candidates and its Application to Elections of the House of Representatives in Japan, Proceedings of the International Conference on Cybernetics and Society, IEEE (1978) 432-435.

7. Itoh Y. and Ueda S.: Note on Random Packing Models for an Analysis of Elections, Proceedings of the Institute of Statistical Mathematics, Vol.25, No.1 (1978) 23-27. (in Japanese with English summary)

8. Itoh Y. and Ueda S.: A Random Packing Model for Elections, Annals of the Institute of Statistical Mathematics, Vol.31 (1979) 157--167.

9. Itoh Y.: Random Collision Models in Oriented Graphs, Journal of Applied Probability, Vol.16 (1979) 36-44.

10. Itoh Y.: On the Minimum of Gaps Generated by One-Dimensional Random Packing, Journal of Applied Probability, Vol.17 (1980), 134-144.

11. Itoh Y.: A Random Packing Model for Elections in Japan, Proceedings of the International Conference in Statistics, Tokyo (1980) 167-169. (North-Holland Publishing Company)

12. Itoh Y., Ueda S. and Hasegawa M.: The Broken-Stick Model for Amino Acid Composition in Proteins, Journal of Molecular Evolution, Vol.16 (1980) 69-72.

13. Itoh Y.: Non-Associative Algebra and Lotka-Volterra Equation with Ternary Interaction, Nonlinear Analysis, Vol.5, No.1 (1981) 53-56.

14. Itoh Y. and Ueda S.: A Note on Application of Stereo-pair Drawing, Proceedings of the Institute of Statistical Mathematics, Vol.28, No.1 (1981) 55-59. (in Japanese with English summary)

15. Itoh Y.: Representation of Random Collision Model by Non-associative Algebras, Proceedings of the Institute of Statistical Mathematics, Vol.30, No.2 (1983) 55-65. (in Japanese with English summary)

16. Itoh Y. and Ueda S.: On Packing Density by a Discrete Random Sequential Packing of Cubes in a Space of m Dimension, Proceedings of the Institute of Statistical Mathematics, Vol.31, No.1 (1983) 65-69. (in Japanese with English summary)

17. Itoh Y.: Random Collision Model for Random Genetic Drift and Stochastic Difference Equation, Annals of the Institute of Statistical Mathematics, Vol.36, B (1984) 353-362.

18. Itoh Y.: Note on a restricted random cutting of a stick, Proceedings of the Institute of Statistical Mathematics, Vol.33, No.1 (1985) 97--99. (in Japanese with English summary)

19. Itoh Y.: Golay Code and Random Packing, Annals of the Institute of Statistical Mathematics, Vol.38, No.3 B (1986) 583-588.

20. Itoh Y.: Statistical Distribution on Symmetry Groups, Proceedings of the Institute of Statistical Mathematics, Vol.34, No.1 (1986) 19-27. (in Japanese with English summary)

21. Itoh Y. and H. Solomon: Random Sequential Coding by Hamming Distance, Journal of Applied Probability, Vol.23, No.3 (1986) 688-695.

22. Sibuya M. and Itoh Y.: Random Sequential Bisection and its Associated Binary Tree, Annals of the Institute of Statistical Mathematics, Vol.39, No.1 A (1987) 69-84.

23. Itoh Y.: Integrals of a Lotka-Volterra System of Odd Number of Variables, Progress of Theoretical Physics, Vol.78, No.3 (1987) 507-510.

24. Itoh Y.: Toda Lattice and a Dynamical System on Competition, Proceedings of the Institute of Statistical Mathematics, Vol.35, No.1 (1987) 73-80. (in Japanese with English summary)

25. Itoh Y.: Integrals of a Lotka-Volterra System of Infinite Species, Progress of Theoretical Physics, Vol.80, No.5 (1988) 749-751.

26. Itoh Y.: An Application of The Convolution Inequality for The Fisher Information, Annals of the Institute of Statistical Mathematics, Vol.41, No.1 (1989) 9-12.

27. Itoh Y.: A Certain Configuration of Random Points on a Circle Associated with a Generalized Lotka-Volterra Equation, Journal of Applied Probability, Vol.26, No.4 (1989) 898-900.

28. Itoh Y. and Matsumoto T.: Random-Generation Model for Statistical Distribution of Point Groups, Acta Crystallographica Vol.A47 (1991) 204-206.

29. Tainaka K. and Itoh Y.: Topological phase-transition in biological ecosystems, Europhysics Letters, Vol.15 (1991) 399-404.

30. Maruyama K. and Itoh Y.: Stochastic Differential Equations for theWright-Fisher Model, Proceedings of the Institute of Statistical Mathematics, Vol.39, No.1 (1991) 47-52. (in Japanese with English summary)

31. Ueda S. and Itoh Y.: Clustering Tree of World Languages by the Similarity of Word Ordering Rule, Japanese Journal of Applied Statistics, Vol.20, No.3 (1991) 155-166. (in Japanese)

32. Komaki F. and Itoh Y. : A Unified Model for Kakutani's Interval Splitting and Renyi's Random Packing, Advances in Applied Probability, Vol.24 (1992) 502-505.

33. Itoh Y.: Stochastic Model of an Integrable Nonlinear System, Journal of the Physical Society of Japan, Vol.62, No.6 (1993) 1826-1828.

34. Tainaka K. and Itoh Y.: Glass effect in a prescribed marriage system, Physics Letters A 187 (1994) 49-53.

35. Itoh Y. and Tainaka K.: Stochastic limit cycle with power-law spectrum, Physics Letters A 189 (1994) 37-42.

36. Okabe Y., Mano H. and Itoh Y.: Random collision model for interacting populations of two species and fluctuation-dissipation theorem --- the law of large numbers and central limit theorem, Hokkaido Mathematical Journal, Vol.23, No.3 (1994) 507-522.

37. Itoh Y. and J.E.Cohen: Competitive Ternary Interactions and Relative Entropy of Solutions, Journal of Physics A 27 (1994) 6383- 6393.

38. Itoh Y.: Paper-scissors-stone Models of Nonlinear Integrable Systems, Proceedings of the Institute of Statistical Mathemetics, Vol. 42, No.1 (1994) 131-145. (in Japanese with English summary)

39. Tsunoda T., Ueda S. and Itoh Y.: Adpositions in word-order typology, Linguistics 33 (1995) 741-761.

40. Ueda S. and Itoh Y.: The Classification of Languages by the Two Parameter Model for Word Ordering Rule, Proceeding of the Institute of Mathematics, Vol.43, No.2 (1995) 341-365. (in Japanese with English summary)

41. Tainaka K. and Itoh Y.: Apparent self-organized criticality, Physics Letters A 220 (1996) 58-62.

42. Tainaka K. and Itoh Y.: Glass Effect in Inbreeding-Avoidance Systems: Minimum Viable Population for Outbreeders, Journal of the Physical Society of Japan, Vol.65 (1996) 3379-3385.

43. Itoh Y.: Addendum to Stochastic Model of an Integrable Nonlinear System, Journal of the Physical Society of Japan, Vol.65, No.12 (1996).

44. Itoh, Y. and Sugimoto, M.: Random Walk on Symmetry Groups and Statistical Distribution of Symmetry Groups, Cooperative Research Report 98, (1997), 1-69, The Institute of Statistical Mathematics. Statistical Mathematics (in Japanese).

45. Itoh, Y. and Maehara, H.: A Variation to The Ruin Problem, Mathematica Japonica, Vol.47, No.1,(1998), 97-102.

46. Fujiwara, M., Itoh, Y., Matsumoto, T., and Takeda, H.: Statistical Distribution of Symmetry Groups for Inorganic Crystal Structure Database (ICSD). Computer Science Monographs, No.29, (1998), 1-92, The Institute of Statistical Mathematics. Statistical Mathematics.

47. Itoh, Y., Mallows, C. and Shepp, L.: Explicit sufficient invariants for an interacting particle system, Journal of Applied Probability. Vol.35, 633-641 (1998).