Polymer chains that engage with themselves and/or with their atmosphere are interesting gadgets, showing more than a few attention-grabbing actual and chemical phenomena. the point of interest during this monograph is at the mathematical description of a few of those phenomena, with specific emphasis on part transitions as a functionality of interplay parameters, linked severe habit and space-time scaling. themes comprise: self-repellent polymers, self-attracting polymers, polymers interacting with interfaces, charged polymers, copolymers close to linear or random selective interfaces, polymers interacting with random substrate and directed polymers in random setting. varied ideas are uncovered, together with the tactic of neighborhood occasions, huge deviations, the lace growth, producing functions, the approach to tours, ergodic conception, partial annealing estimates, coarse-graining ideas and martingales. Thus, this monograph deals a mathematical landscape of polymer chains, which even at the present time holds lots of challenges.
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