Several cosmologically distant astrophysical sources may produce ultra-high
energy cosmic neutrinos (E > 10^6 GeV) of all flavors above the atmospheric
neutrino background. I study the effects of vacuum neutrino flavor mixing on
this cosmic neutrino flux. Prospects for observations of these ultra-high
energy cosmic neutrinos in large underwater/ice neutrino telescopes are also
briefly discussed.Comment: 3 pages, latex, talk given at the 8th Asia Pacific Physics Conference
(APPC2000), 7-10 August, 2000, Taipei, Taiwan (to appear in its proceedings