By Yurij Holovatch
This booklet studies a number of the vintage points within the idea of section transitions and significant phenomena, which has an extended heritage. lately, those features are attracting a lot cognizance because of crucial new contributions. the themes provided during this publication contain: mathematical idea of the Ising version; equilibrium and non-equilibrium criticality of one-dimensional quantum spin chains; impact of structural affliction at the severe behaviour of the Potts version; criticality, fractality and multifractality of associated polymers; field-theoretical ways within the superconducting section transitions.
The publication relies at the overview lectures that got in Lviv (Ukraine) in March 2002 on the "Ising lectures" — a conventional annual workshop on section transitions and important phenomena which goals to compile scientists operating within the box of section transitions with college scholars and those that have an interest within the topic.