ࡱ> GIF C3bjbj[[ 4J99C+ TfVVVVVVVV,r3VVVVV3vVVHvvvVVVvVvv|`N6jl ^04v v,VVV33vVVVVVVVVVVVV :   Robert W. Easton Professor Department of Applied Mathematics University of ŷڱƵ Boulder, ŷڱƵ 80309-0526 BIRTHDATE December 8, 1941 EDUCATION: University of Wisconsin, B.S. June 1963 University of Wisconsin, M.S. January 1965 University of Wisconsin, Ph.D. August 1967 THESIS ADVISOR: Charles C. Conley THESIS TITLE: On the existence of invariant sets inside a submanifold convex to a flow. POSITIONS HELD: Research Associate Division of Applied Mathematics 1967-1968 Brown University Assistant Professor Division of Applied Mathematics 1968-1972 Brown University Visiting Assistant Professor University of ŷڱƵ 1972-1973 Associate Professor University of ŷڱƵ 1973-1979 Professor University of ŷڱƵ 1979-2001 Emeritus Professor University of ŷڱƵ 2001- PUBLICATIONS: 1. Locating invariant sets, Proceedings of Symposia in Pure Mathematics, Vol. XIV, American Math. Soc., 55-59, (1969). 2. A flow near a degenerate critical point, Studies in Applied Mathematics, No. 5, SIAM, Philadelphia, PA, 1 p.(1969). 3. Isolated invariant sets and isolating blocks, (with C. Conley), Studies in Applied Mathematics, No. 5, SIAM, Philadelphia, PA, 97-104, (1969). 4 On the existence of invariant sets inside a submanifold convex to a flow, Journal of Differential Equations, Vol. 7, No.1, 54-68, (1970). 5. Flows near isolated invariant set in dimension 3, Periodic orbits, stability and resonances, G.E.O. Giacoglia, Ed., D. Reidel Pub. Co., 332-336, (1970). 6. Isolated invariant sets and isolating blocks, (with C. Conley), Transactions of the American Mathematical Society, Vol. 158, No. 1, 35-61., (1971). 7. Regularization of vector fields by surgery, Journal of Differential Equations, Vol. 10, No. 1, 92-99, (1971). 8. Some topology of the 3-body problem, Journal of Differential Equations, Vol. 10, No. 2, 371-377 (1971). 9. Isolating blocks, regularization and the 3-body problem, Proceedings of the International Symposium on Dynamical Systems, Salvador, Brazil, 75-96, (1971). 10. The topology of the regularized integral surfaces of the 3-body problem, Journal of Differential Equations, 361-384, (1972). 11. Isolating blocks and symbolic dynamics, Journal of Differential Equations, Vol. 17, No. 1, 96-118, (1975). 12. Some topology of n-body problems, Journal of Differential Equations, Vol. 19, No. 2, 258-269, (1975). 13. Some qualitative aspects of the 3-body flow, Dynamical Systems, An International Symposium, Vol. 2, Academic Press, Inc., 1-6, (1976). 14. Homoclinic phenomena in Hamiltonian systems with several degrees of freedom, Journal of Differential Equations, Vol. 29, No. 2, 241-252, (1978). 15. Chain transitivity and the domain of influences of an invariant set, Lecture Notes in Mathematics, Vol. 668, Springer-Verlag, 95-102, (1978). 16. Homoclinic phenomena for orbits doubly asymptotic to an invariant three sphere, (with R. McGehee), Indiana J. of Mathematics, Vol. 28, No. 2, 211-140, (1979). 17. Perturbed twist maps, homoclinic points, and ergodic zones, Instabilities in Dynamical Systems, V. Szebehely, Ed., D. Reidel Pub. Co., 41-49, (1979). 18. Ergodic properties of linked twist mappings, (with R. Burton), Lecture Notes in Mathematics, Vol. 819, Z. Nitecki and C. Robinson, Eds., Springer-Verlag, Inc., New York 35-49, (1980). 19. Homoclinic phenomena near orbits biasymptotic to invariant tori, Classical Mechanics and Dynamical Systems, R. Devaney, Z. Nitecki, Eds., Marcel Dekker, Inc., New York, 55-64, (1980). 20. Ergodic Theory and Hamiltonian Dynamics, Applications of Modern Dynamics to Celestial Mechanics and Astrodynamics, V. Szebehely, Ed., D. Reidel Pub. Co., 267-277, (1982). 21. Computing the dependence on a parameter of a family of unstable manifolds: Generalized Melnikov formulas, Journal of NonLinear Analysis: Theory, Methods, and Applications, Vol. 8, No.1, 1-4, (1984). 22. Parabolic orbits in the planar 3-body problem, Journal of Differential Equations, Vol. 52, No.1, 116-134, (1984). 23. Trellises formed by the stable and unstable manifolds of saddle points in the plane, Transactions of the American Mathematical Society, Vol 294, No. 2, 719-731, (1986). 24. Isolating Blocks and Epsilon Chains for Maps, Physica D, Vol. 39, No. 1, 95-110, (1989). 25. Transport through chaos, Nonlinearity 4. 583-590, (1991). 26. Capture orbits and Melnikov integrals in the planar 3-body problem, Celestial Mechanics 50: 283-297, (1991). 27. Exit times and transport for symplectic twist maps, (with J. Meiss and S. Carver), Chaos Vol.3 No. 2, 153-165 (1993). 28. Transport of phase space volume near isolated invariant sets, Journal of Dynamics and Differential Equations, Vol. 5, No. 3, 529-536, (1993). 29. Geometric Methods for Discrete Dynamical Systems, Graduate Text, Oxford University Press (1998). 30. Stability of Levitrons, (with H. Dullin), Physica D 126, 1-17 (1999). 31. Stability of Levitrons, (with H. Dullin), Z. Angew. Math. Mech . Vol. 79, 167-170. 32. Drift by Coupling to an Anti-Integrable Limit, (with J. D. Meiss and G. E. Roberts), Physica D. 33. Conley Index, in Encyclopedia of Nonlinear Science, Alwyn Scott Ed. Routledge, New York and London, 2005. 34. Changing Climate, More Damaging Weather, Issues in Science and Technology, Vol. 26, No. 2 (2010), with Robert Repetto, 35. Climate Change and Damages from Extreme Weather Events, Environment Vol. 52, No. 2 (2010), with Robert Repetto,. 36. A Forest Village Model (January 2009) This is a model of a simple economy within an ecosystem. It is supplemented by an interactive Matlab program that allows the user to make a sequence of land use and labor allocation updates to see how the system responds. 37. Financial Alchemy (2010). Manuscript for a book in progress. 38 Matlab programs (2010) for five increasingly complex economic models. These models supplement the Financial Alchemy manuscript. 39. Finance Dynamics (2011). Manuscript of a short technical article. 40. Overview of the Climate Dice 2013 model created by William Nordhaus. The model is reprogramed using Matlab from its original GAMS version. RESEARCH GRANTS: NSF GR-38585; 1973-1977, $24,700 NSF MCS 76-84420; 1978-1980, $25,499 NSF MCS-8001526; 1980-1984, $47,862 CRCW Research Grant; 1989, $3,500 NSF DMS -9005805 ( Co PI ) Research Equipment , 1990, $26,000 SELECTED TALKS AMS Summer Institute on Global Analysis, Berkeley, California, 1968. (60 minute talk) International Conference on Periodic Orbits, Stability and Resonances in Celestial Mechanics, Sao Paulo, Brazil, 1969. (60 minute talk) International Conference on Dynamical Systems, Salvador, Brazil, 1971. (60 minute talk) International Symposium on Dynamical Systems at Brown University, August 1974. (20 minute talk) A NATO Advanced Study Institute on Instabilities in Dynamical Systems with Applications to Celestial Mechanics, Cortina D'Ampezzo, Italy, July 30 - August 12, 1978. (50 minute talk) International Conference on Mathematical Methods in Celestial Mechanics, Oberwolfach, Germany, August 13-19, 1978. (50 minute talk) International Conference on Dynamical Systems, Northwestern University, June 1979. (20 minute talk) CBMS Conference on Celestial Mechanics, Tufts University, August 1979. (60 minute talk) AMS 83 rd Summer meeting, Special Session on Dynamical Systems, University of Minnesota, Duluth, August 1979. (20 minute talk) A NATO Advanced Study Institute on Applications of Modern Dynamics to Celestial Mechanics and Astrodynamics, Cortina D'Ampezzo, Italy, August 2 - August 14, 1981. (Two 90 minute invited lectures) AMS Annual Meeting, Special Session on Celestial Mechanics, Anaheim, CA, January 11, 1985. (20 minute talk) AMS Summer Meeting, Special Session on Dynamical Systems, August 21, 1985. (20 minute talk) Midwest Dynamical Systems Conference, Cincinnati, OH, April 26, 1985. (50 minute talk) U.S.-Japan Workshop on Nonlinear Dynamics with Applications to Plasma Physics, Boulder, CO, July 24-28,1989. (20 minute talk) MSI Workshop on Classical and Quantum Transport in Hamiltonian Systems, Cornell University, November 17-20, 1989. (60 minute talk) International Dynamical Systems Conference, Northwestern University, March 24-28, 1991. (60 minute talk). SIAM Conference on Applications of Dynamical Systems, Snowbird Utah, Oct. 1992, (20 minute talk) SIAM Conference on Applications of Dynamical Systems, Snowbird Utah, May, . 1995, Organizer of the Minisymposium on the Conley Index, (20 minute talk). FELLOWSHIPS: University of ŷڱƵ Faculty Fellowship, 1979-1980. Ph.D STUDENTS Charles Meyers, (1983), Patrick Quillen, (1986), Fred Jones, (1991). Rodney Anderson (I was a thesis committee member, for Aerospace Engineering) (2005) M.S. STUDENTS Yang Fen Yerng, (1986), Brian Clark, (1987), Jeffrey Lawson, (1988), Sung-Hwan Lee, (1988), John Taylor, (1988), Lee Cox, (1989). Hegland, Beth, (2010) PROFESSIONAL SERVICE TO THE DEPARTMENT OF MATHEMATICS Graduate Committee, 1973-1974 New Appointments Committee, 1973-1974, 1974-1975, 1977-1978 Math-Physics Steering Committee, 1974-1978 Organized Math-Physics seminar, 1975-1976 Chairman, Graduate Committee, 1978-1979 Personnel Committee, 1980-1981, 1981-1982 Chairman, New Appointments Committee, 1981-1982 Associate Chairman, 1981-1982 Undergraduate Committee, 1982-1984 Mathematics Department Constitution Committee, 1983-1984 Organized the Midwest Dynamical Systems Conference, April 7-9, 1983 Chairman, Graduate Committee, 1984-1985 Graduate Committe, Spring 1986 Undergraduate Committee, 1986-1987 Research Evaluation Committee, 1986-1987 Graduate Committee, 1987-1988 Applied Mathematics Program Executive Committee, 1987-1988 PROFESSIONAL SERVICE TO THE PROGRAM IN APPLIED MATHEMATICS Computing Search Committee 1989-1990 Chair, Undergraduate Committee 1990-1993 Analysis Search Committee 1990-1991 College of Engineering Undergraduate Affairs Committee 1989-1991 Chair, College of Engineering Educational Policy and Planning Committee 1991- 1993 College of Engineering Administrative Council, 1991-1993. Program in Applied Mathematics Chair Undergraduate Committee 1991-1993 Program in Applied Mathematics Associate Director 1993-1994 Instructor Search Committees 1993-1995 Director Program in Applied Mathematics 1994-1995 GRADUATE INSTRUCTION 1972-73 647-648 Differential Equations 1973-74 607-608 Differential Topology 1974-75 502 Topology 1975-76 523-524 Differential Geometry 1976-77 606-608 Differential Topology 1977-78 502 Topology 1978-79 551 Celestial Mechanics 1980-81 501-502 Topology 1983-84 691 Dynamical Systems 1984-85 502, 647 Topology, Differential Equations 1985-86 501, 502 Topology 1986-87 543, 693 Differential Equations, Dynamical Systems Seminar 1987-88 501, 502 Topology 1991-92 7100 Introduction to Dynamical Systems 1994-95 7100 Dynamical Systems and Chaos q 8 /0xyO $$//C3hhiCJEHh"zh%Th. hi5hi=Tqr ? @ b c  % e | # V W e e f V W x y "#x01$%n 0^`0gd.GH;HISP 0^`0gd. 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