Robert L. Devaney

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Robert L. Devaney
PhD
)
Scientific career
Fields
InstitutionsNorthwestern University
Tufts University
Boston University
ThesisReversible diffeomorphisms and flows (1973)
Doctoral advisorStephen Smale
President of the
Mathematical Association of America
In office
2013–2015
Preceded byPaul M. Zorn
Succeeded byFrancis Su

Robert Luke Devaney (born 1948) is an American mathematician. He is the Feld Family Professor of Teaching Excellence at Boston University, and served as the president of the Mathematical Association of America from 2013 to 2015. His research involves dynamical systems and fractals.[1]

Early life and career

Devaney was born on April 9, 1948, in Lawrence, Massachusetts.[2] He grew up in Methuen, Massachusetts.[3]

Devaney graduated in 1969 from the College of the Holy Cross,[4][5] and earned his Ph.D. in 1973 from the University of California, Berkeley, under the supervision of Stephen Smale.[6][7] From 1974 to 1976, he was a postdoctoral research fellow at Northwestern University.[2] Before joining the faculty at Boston University, he taught at Tufts University, Northwestern University, and the University of Maryland, College Park.[4][5]

Mathematical activities

Devaney is known for formulating a simple and widely used definition of

periodic orbits form a dense set.[9] Later, it was observed that this definition is redundant: sensitive dependence on initial conditions follows automatically as a mathematical consequence of the other two properties.[10]

Devaney hairs, a fractal structure in certain Julia sets, are named after Devaney, who was the first to investigate them.[3][11]

As well as research and teaching in mathematics, Devaney's mathematical activities have included organizing one-day immersion programs in mathematics for thousands of Boston-area high school students, and consulting on the mathematics behind media productions including the 2008 film 21 and the 1993 play Arcadia.[1][3] He was president of the Mathematical Association of America from 2013 to 2015.[4][5]

Awards and honors

In 1995, Devaney won the Deborah and Franklin Tepper Haimo Award for Distinguished University Teaching of the Mathematical Association of America.[12] In 2002 Devaney won the National Science Foundation Director's Award for Distinguished Teaching Scholars.[1][13] He was named the inaugural Feld Professor in 2010.[1]

In 2008, a conference in honor of Devaney's 60th birthday was held in Tossa de Mar, Spain. The papers from the conference were published in a special issue of the Journal of Difference Equations and Applications in 2010, also honoring Devaney.[3]

In 2012 he became one of the inaugural fellows of the American Mathematical Society.[14]

Selected publications

Books

Devaney is the author of books on fractals and dynamical systems including:

  • An Introduction to Chaotic Dynamical Systems (Benjamin/Cummings 1986; 2nd ed., Addison-Wesley, 1989; reprinted by Westview Press, 2003)[15][16][17]
  • The Science of Fractal Images (with Barnsley, Mandelbrot, Peitgen, Saupe, and Voss, Springer-Verlag, 1988)[18]
  • Chaos, Fractals, and Dynamics: Computer Experiments in Mathematics (Addison-Wesley, 1990)[19]
  • A First Course in Chaotic Dynamical Systems: Theory and Experiment (Addison-Wesley, 1992)[20]
  • Fractals: A Tool Kit of Dynamics Activities (with J. Choate and A. Foster, Key Curriculum Press, 1999)
  • Iteration: A Tool Kit of Dynamics Activities (with J. Choate and A. Foster, Key Curriculum Press, 1999)
  • Chaos: A Tool Kit of Dynamics Activities (with J. Choate, Key Curriculum Press, 2000)
  • The Mandelbrot and Julia Sets: A Tool Kit of Dynamics Activities (Key Curriculum Press, 2000)
  • Differential Equations (with P. Blanchard and G. R. Hall, 3rd ed., Brooks/Cole, 2005)
  • Differential Equations, Dynamical Systems, and an Introduction to Chaos (with Morris Hirsch and Stephen Smale, 2nd ed., Academic Press, 2004; 3rd ed., Academic Press, 2013)[21]
Research papers

Some of the more highly cited of Devaney's research publications include:

  • Devaney, Robert L. (1976), "Homoclinic orbits in Hamiltonian systems", Journal of Differential Equations, 21 (2): 431–438,
    MR 0442990
    .
  • Devaney, Robert L. (1976), "Reversible diffeomorphisms and flows",
    MR 0402815
    .
  • Devaney, Robert L. (1980), "Triple collision in the planar isosceles three-body problem",
    S2CID 120330839
    .
  • Devaney, Robert L.; Krych, Michał (1984), "Dynamics of exp(z)",
    MR 0758892
    .

References

  1. ^ a b c d Barlow, Rich (February 18, 2000), "CAS Names First Feld Family Professor: Robert Devaney makes fractals crackle, starting in high school", BU Today, Boston University.
  2. ^ a b "Robert Devaney | Curriculum Vitae" (PDF). Mathematics Department. Boston University. Retrieved December 2, 2023.
  3. ^
    S2CID 121692691
    .
  4. ^ a b c Brief vita: Robert L. Devaney, retrieved 2015-09-28.
  5. ^ a b c Robert L. Devaney, About MAA: Governance, Mathematical Association of America, retrieved 2015-09-28.
  6. ^ Devaney, Robert Luke (June 1973). Reversible diffeomorphisms and flows (PhD).
    OCLC 21927116
    .
  7. ^ Robert L. Devaney at the Mathematics Genealogy Project
  8. ISBN 9780521531047
    , Although there are several competing definitions of chaos, we concentrate here on the one given by Robert Devaney, which avoids the use of measure theory and uses only elementary notions from analysis.
  9. ISBN 9781441965622
    .
  10. MR 1157223
    .
  11. S2CID 14414411
    .
  12. ^ Deborah and Franklin Tepper Haimo Award – List of Recipients, Mathematical Association of America, retrieved 2015-09-28.
  13. ^ BU professor wins NSF teaching award, Boston University, February 2007, retrieved 2015-09-28.
  14. ^ List of Fellows of the American Mathematical Society, American Mathematical Society, retrieved 2015-09-28
  15. MR0811850
    .
  16. JSTOR 2031218
    .
  17. ISSN 0031-9228
    .
  18. MR0952853
    .
  19. doi:10.2307/2686745
    .
  20. MR1202237
    .
  21. MR2144536
    .
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