Effects of Matter Density Fluctuation in Long Baseline Neutrino   Oscillation Experiments
  The effects of matter density fluctuation in long baseline neutrino oscillation experiments are studied. Effects of short wavelength fluctuations are in general irrelevant. Effects of long wavelength fluctuations must be checked on a case-by-case basis. As an example we checked the fluctuation effects and showed its irrelevance in a case of K2K experiments. 
Masafumi Koike and Joe Sato