This volume presents recent developments in the area of L?vy-type processes and more general stochastic processes that behave locally like a L?vy process. Although written in a survey style, quite a few results are extensions of known theorems, and others are completely new. The focus is on the symbol of a L?vy-type process: a non-random function which is a counterpart of the characteristic exponent of a L?vy process. The class of stochastic processes...