As we all know, pets are the best-loved members of the family; they are always there with a wagging tail, and, unless there's a sofa-scratching or shoe-chewing incident, we rarely have cause to argue with them. Such is people's love of their animals that accessories and clothing have become a booming business - think designer dog leads, personalised collars, rain coats and even dog food cookbooks - but with Hoop n Loop, there's a difference: pets become the stars of their owners' wardrobes and homes. In 2017, after years spent as a professional pattern cutter in the fashion industry, animal lover Carol Tai decided to put her two passions together - illustration and dogs - to create personalised t-shirts, sweatshirts, jackets, cushions and tote bags featuring people's pet portraits. This book, with a brief introduction explaining how to get started, pull-out and downloadable templates and step-by-step projects showing you exactly how to recreate the 20 most popular breeds in thread form, is perfect for the dog lover and fashion addict alike, showing just how easy it is to create your own homage.

This monograph examines the self-avoiding walk, a classical model in statistical mechanics, probability theory and mathematical physics, paying close attention to recent developments in the field, such as models in the hexagonal lattice and the Monte Carlo methods.