The dephasing and condensation kinetics of bosonic excitons after coherent
pulse excitation is studied in the vicinity of a Bose-Einstein condensation
(BEC). For a system of excitons interacting with acoustic phonons various
excitation conditions an investigated. Significant qualitative changes of t
he polarization dephasing in the vicinity of the BEC are discussed. Further
more the kinetics of excitons, interacting via a two particle interaction,
is studied. Both the bosonic mean-field terms and the scattering terms are
calculated on a microscopic level. As in the phonon-model the dephasing rat
e of the exciton-exciton scattering diminishes considerably in the vicinity
of the BEC. All results are suited as experimentally observable signatures
of an excitonic BEC.