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Mitchell J. Feigenbaum - Biography

The Rockefeller University Box 75 1230 York Avenue New York, N.Y. 10021-6399

EDUCATION

M.I.T. February, 1965 - June, 1970, Ph.D., Department of Physics Ph.D., Thesis, "The Relationship of Feynmann Parametrization and Double Dispersion Relations of Scattering Amplitudes for Higher Spin Particles" under supervision of F.E. Low

M.I.T. September, 1964 - January, 1965, Department of Electrical Engineering

Elected to membership in Sigma Xi

C.C.N.Y. February, 1961 - August, 1964, B.E.E., Department of Electrical Engineering

Elected to Honor Societies: Tau Beta Pi, Etta Kappa Nu

Ranked first in class in School of Engineering

PROFESSIONAL HONORS

  • Member, The National Academy of Sciences, 1988
  • Dickson Prize, Carnegie-Mellon University, 1987
  • Member, The American Academy of Arts and Sciences, 1987
  • Wolf Foundation Prize in Physics, 1986
  • Fellow of the American Physical Society, 1985
  • MacArthur Foundation Award, October 1984
  • E. O. Lawrence Memorial Award, D.O.E., 1982
  • Fellow, Los Alamos National Laboratory, 1981
  • Distinguished Performance Award, Los Alamos National Laboratory, 1980
  • National Science Foundation Fellowship, September, 1964 - August, 1966

PROFESSIONAL EMPLOYMENT

Toyota Professor, The Rockefeller University, January 1987

Professor, Department of Physics and Laboratory and Atomic and Solid State Physics, Cornell University, September, 1982 - (on leave, September, 1986) - August, 1988

Visiting Professor, Rockefeller University, Fall, 1984

"Scaling Spectra and Return Times of Dynamical Systems," M. Feigenbaum, J. Stat. Phys. 46, 5 (1987)

"Time Ordering and the Thermodynamics of Strange Sets..", M. Feigenbaum, M.H. Jensen, and I. Procaccia, Phys. Rev. Lett. 57, 13 (1986)

"E=mc2", M. Feigenbum and D. Mermin, Am. J. Phys. 56 (1) (1988)

"Presentation Functions, Fixed Points and a Theory of Scaling Function Dynamics, "M Feigenbaum, J. Stat. Phys. 52, 527 (1988)

"Presentation Functions and Scaling Theory for Circle Maps," M. Feigenbaum, Nonlinearity 1, 577-602 (1988)

"Scaling properties of multifractals as an eigenvalue problem," M. Feigenbaum, I Procaccia and T. Tel, Phys. Rev. A, 39 (1989)

"Scaling Behavior & Thermodynamics", M. Feigenbaum, J.J.P. Veerman, Fundemental Problems in Statistical Mechanics VII, H. van Beijeren, Ed., Elsevier (1990)

"Scaling Function Dynamics", M. Feigenbaum, Chaos Order and Patterns. P. Cvitanovic, Ed., Plenum (1991)

"The Critical Indices for Singular Diffusion", L. Kadanoff, A. Chhabra, A. Kolan, M. Feigenbaum, and I. Procaccia, Phys. Rev. A Lett. 45 6095-6098 (1992)

"Sandpiles, Avalanches and the Statistical Mechanics of Non-Equilibrium Stationary States", A.B. Chhabra, M.J. Feigenbaum, L.P. Kadanoff, and I. Procaccia. (submitted to Phys. Rev. A).

SELECTED PUBLICATIONS

"Quantitative Universality for a Class of Nonlinear Transformations," M. Feigenbaum, J. Stat. Phys. 19, 25 (1978)

"The Universal Metric Properties of Nonlinear Transformations," M. Feigenbaum, J. Stat. Phys. 21 669 (1979)

"Matric Universality in Nonlinear Recurrence", M. Feigenbaum, Lecture Notes in Physics 93, 163 (1979)

"The Onset Spectrum of Turbulence, "M. Feigenbaum, Phys. Lett. 74A, 375 (1979)

"The Transition to Aperiodic Behavior in Turbulent Systems, "M. Feigenbaum Comm. Math. POhye. 77, 65 (1980)

"The Metric Universal Properties of POeriod Doubling Bifurcations and the Spectrum for a Route to Turbulence, "M Feigenbaum, Ann. New York Acad. Sci 357, 330 (1980)

"Universal Behavior in Families of Area Preserving Maps, "J.M. Greene, R.S. Mackay, F. Vivaldi, and M.J. Feigenbaum, Physics D3, 468 (1981)

"Irrational Decimations and Path Integrals for External Noise," M. Feigenbaum and B Masslacher. Phys. Rev. Lett 49, 605 (1982)

"Quasi Periodicity in DissipativeSystems: A Renormalization Group Approach, "M. Feigenbaum, L>P> Kadanoff and S.F. Shenker, Physica D5, 370 (1982)

"Universal Behavior in Non-Linear Systems. "M. Feigenbaum, Phtysica D7, 16 (1983)

"The Onset of Chaos, "M. Feigenbaum and R. Kenway, Statistical and Particle Physics: Common Problems and Techniques, 1-100, SUSSP Publications, Edingburgh, Scotland, 1984

"Dynamics for Golden Mean Rotation, "M. Feigenbaum, Nonlinear Phonomena in Physics E. Claro, Spreinger-Verlag, 1984

"The Renormalization of the Farey Map and Universal Mode Locking," to be published.

"Trajectory Scaling Function for Bifurcations in Area-Preserving Maps on the Plane, "G. Gunartne and M. Feigenbaum, Physics D, 1985

"Some Characterizations of Strange Sets, "M Feigenbaum, J. Stat. Phys. 46 5 (1987)