This book is the fifth volume of papers on advanced problems of phase transitions and critical phenomena, the first four volumes
appeared in 2004, 2007, 2012, and 2015. It aims to compile reviews in those aspects of criticality and related subjects that
are of current interest. The seven chapters discuss criticality of complex systems, where the new, emergent properties appear
via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected
components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework
for their study.As the first four volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at
the 'Ising lectures' - a traditional annual workshop on phase transitions and critical phenomena which aims to bring together
scientists working in the field of phase transitions with university students and those who are interested in the subject.