@InProceedings{rechester83,
  author =       {Alexander B. Rechester and Marshall N. Rosenbluth and
                  Roscoe B. White and Charles F. F. Karney},
  title =        {Statistical Description of the {C}hirikov--{T}aylor
                  Model in the Presence of Noise},
  booktitle =    {Long-Time Prediction in Dynamics},
  pages =        {471-483},
  year =         1983,
  editor =       {C. W. Horton and L. E. Reichl and V. G. Szebehely},
  volume =       {II},
  series =       {Wiley-Interscience Series on Nonequilibrium Problems
                  in the Physical Sciences and Biology},
  publisher =    {Wiley, New York},
  reprint =      {ltpd83},
  preprint =     {Preprint \eref{lakeway}{lakeway}},
  note =         {Proc. Workshop on Long-Time Predictions in Nonlinear
                  Conservative Dynamical Systems, Lakeway, TX,
                  Mar. 16--19, 1981},
  abstract =     {A review of recent analytical and numerical results
                  concerning the Chirikov-Taylor model is given.  It is
                  shown that the presence of noise makes the statistical
                  description of this system unique.  The form of the
                  diffusion coefficient is quite different depending on
                  the nature of the dynamical orbits (integrable,
                  stochastic, or accelerator).  We have found that in
                  the presence of noise, dynamical averaging, performed
                  numerically, and statistical averaging, performed
                  analytically with the path-integral method, are the
                  same.  Some unsolved problems are presented and
                  discussed.}
}