Here are the list of experts who have suggested Complexity books:

J├╝rgen Schmidhuber
Scientific director of the Dalle Molle Institute for Artificial Intelligence (IDSIA) Research in Lugano, in Ticino in southern Switzerland, and Professor of Artificial Intelligence (Ordinarius) at the Faculty of Computer Science at the University of Lugano., Ph.D. - Technical University of Munich.

Note: the following books are not recommended by Professor Schmidhuber. They are books that have been used as reference texts in one/some courses he has taught.

An Introduction to
Kolmogorov Complexity

Complexity and ...

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