Jack B. Brown

Professor Emeritus
Department of Mathematics and Statistics
Auburn University, AL 36849-5310
Parker Hall 340

Fields: Real Analysis and Applied Probability and Statistics


Teaching Awards:

" Editor Emeritus" of the Real Analysis Exchange: Was active Contributing Editor for 10 years, 1993-2003, and was honored by the Real Analysis Exchange at the 2009 Summer Symposium in Real Analysis.

Co-organizer, along with colleague Geraldo deSouza, of 19-year series of biannual Miniconferences on Real Analysis and Harmonic Analysis (NSF funded for last 16 years). Schedules and some conference photos available at Miniconcerence pages.

Recent publications:

  • Differentiable restrictions of real functions (pdf), Proc. Amer. Math. Soc. 108 (1990), 391-398.
  • Continuous-, derivative- and differentiable-restrictions of measurable functions (pdf), Fund. Math. 141 (1992), 85-95.
  • Order independence and factor convergence in iterative scaling (pdf), Lin. Alg. and Appl. 190 (1993), 1-38, (with P. J. Chase and A. O. Pittenger).
  • Restriction theorems in real analysis (pdf), Real Analysis Exchange 20(2) (1994/5), 510-526.
  • Intersections of continuous, Lipschitz, Hölder class, and smooth functions (pdf), Proc. Amer. Math. Soc. 123 (1995), 1157-1165.
  • C1-Intersection variant of Blumberg's theorem (pdf), Tatra Mtns. Math. Pubs. 24 (1998/9), 855-858.
  • A simple proof that (s)/(s)0 is a complete Boolean algebra (pdf), Real Analysis Exchange 14(2) (1998), 127-136 (with S. Baldwin).
  • Nowhere monotone functions and functions of nonmonotonic type (pdf), Proc. Amer. Math. Soc. 127 (1999), 173-182, (with U. Darji and E. Larsen).
  • Marczewski-Burstin-like characterizations of sigma-algebras, ideals, and measurable functions (pdf), Colloq. Math. 127 (1999), 277-286, (with H. Elalaoui-Talibi).
  • Mathematicians in Industry: Experiences of one high-tech migrant worker (pdf), Alabama Journal of Mathematics 25 (Fall 2001), 3-22.
  • Smooth interpolation, Hölder continuity, and the Takagi - van der Waerden function (pdf), Amer. Math. Monthly 110 (2003), 142-147 (with G. Kozlowski).

Recent invited lectures:

Applied Experience: 25 summers plus 1 year at various research centers in the US, including:

  • Sandia National Laboratory (Albuquerque, NM).
  • National Security Agency (Ft. Meade, MD).
  • Center for Communications Research (Princeton, NJ).
  • Center for Analysis (Newport Beach, CA).
  • Bell Laboratories (Holmdel, NJ).
  • Center for Computing Sciences (Bowie, MD).
  • TRW Strategic Defense Systems Group (San Bernardino, CA). Click here for picture of former TRW employees now on AU Math faculty.

Places to Go