# How connected are information theory and algorithmic information theory?

In the book by Cover and Thomas on information theory, there is a chapter on algorithmic information theory (kolmogorov complexity and so forth).

As far as I understand, algorithmic information theory was developed separately from information theory, and Kolmogorov didnt formalize AIT in terms of shannon entropy and so forth (am I wrong?)

How connected are the two fields? Are they really about quite separate things? Are there only some marginal connections? Or are they deeply connected?