Mathematics (mostly probability)


Aucune morale ni aucun effort ne sont a priori justifiables devant les sanglantes mathématiques qui ordonnent notre condition.
--Albert Camus

Reprints, Preprints, and Unprints



(A=abstract, P=whole paper in gzipped Postscript)

  • Mathematical biology and demography
  • Iterated function systems
    • Zeno's walk: a random walk with refinements. AP, pdf (PTRF 1/1997)
    • Locally contractive iterated function systems. A, P (Ann Prob 4/1999)
    • Random logistic maps and Lyapunov exponents. AP (Indag Math 2002)
  • Stochastic flows
    • Chasing balls through martingale fields (with M. Scheutzow) A, P (Ann Prob 4/2002, pp. 2046-80)
    • Linear expansion of isotropic Brownian flows (with M. Scheutzow and M. Cranston) A, P (Elec Comm Prob 12/1999)
    • Linear bounds for stochastic dispersion (with M. Scheutzow and M. Cranston) A, P (Ann Prob 4/2000)
  • Sorting and empirical processes
    • Random time changes for sock-sorting and other stochastic-process limit theorems. A, P (Elec J Prob 4/1999)
    • Fluctuation bounds for sock-sorting and other stochastic processes. A, P (Disc Appl Math 86/1998)
    • Deviation bounds and limit theorems for the maxima of some sorting and storage processes. P
    • Socks & Boxes: Variations on Daniel Bernoulli's marriage problem. A, P (Dissertation -- Harvard Mathematics, 1996)
  • Asymptotics of Markov processes 
    • Quasistationary distributions for one-dimensional diffusions (Joint with Steven N. Evans). pdf
    • Convergence of moments in a Markov-chain central limit theorem. AP (Indag Math 2002)
  • Oceanography
    • Instability of Baroclinic Waves with Bottom Slope. pdf (J Phys Oceanography 12/1987)



PNAS says mathematics is not real science.  Read more.


Last updated January 30, 2005

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