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The amplitude of jet distortions and accompanying pressure and velocity fluctuations resulting from Kelvin-Helmholtz instability of three dimensional relativistic jets are explored. The effect of instability on jets as they accelerate from sub- to super-Alfv'enic speeds is explored and a relativistic stabilization mechanism for trans-Alfv'enic jets is proposed. The level to which asymmetric instabilities on supermagnetosonic relativistic jets will grow is predicted theoretically and a Doppler boosted ``apparent’’ emissivity is computed. Effects due to helically twisted filamentary structure produced by asymmetric modes of instability should be readily observable on relativistic jets.

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