A theory of the filamentation of laser radiation due to electron colli
sions is developed for a hot plasma under the conditions when the elec
tron mean free path exceeds the characteristic spatial scale of the fi
laments formed. The nonlinear effect produced by the laser radiation h
eating the plasma is found to be governed by both nonlinear wave inter
action, which can be described in terms of the parameteric instability
, and the nonlinear effect of electron redistribution over velocities,
which is caused by heating radiation and results in the deviation of
the electron distribution from a Maxwellian.