Description
Over the past 25 years, there has been an explosion of interest in the area of random tilings. The first book devoted to the topic, this timely text describes the mathematical theory of tilings. It starts from the most basic questions (which planar domains are tileable?), before discussing advanced topics about the local structure of very large random tessellations. The author explains each feature of random tilings of large domains, discussing several different points of view and leading on to open problems in the field. The book is based on upper-division courses taught to a variety of students but it also serves as a self-contained introduction to the subject. Test your understanding with the exercises provided and discover connections to a wide variety of research areas in mathematics, theoretical physics, and computer science, such as conformal invariance, determinantal point processes, Gibbs measures, high-dimensional random sampling, symmetric functions, and variational problems.
This is the first book dedicated to reviewing the mathematics of random tilings of large domains on the plane.
About the Author
Vadim Gorin is a faculty member at the University of Wisconsin-Madison and a member of the Institute for Information Transmission Problems at the Russian Academy of Sciences. He is a leading researcher in the area of integrable probability, and has been awarded several prizes, including the Sloan Research Fellowship and the Prize of the Moscow Mathematical Society.
Reviews
'The lectures provide connections between random tilings and many areas in mathematics and theoretical physics, and include an exhaustive reference list. Mathematicians and others interested in the hows and whys of this intriguing area would be well-served by consulting this text.' Thomas Polaski, Mathematical Reviews/MathSciNet
'It seems that the reviewed book is the first introductory text about this fascinating topic. The release of this book is a great event for everyone interested in this problem.' Anton Shutov, zbMATH
Book Information
ISBN 9781108843966
Author Vadim Gorin
Format Hardback
Page Count 200
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 520g
Dimensions(mm) 235mm * 158mm * 20mm
This is the first book dedicated to reviewing the mathematics of random tilings of large domains on the plane.
About the Author
Vadim Gorin is a faculty member at the University of Wisconsin-Madison and a member of the Institute for Information Transmission Problems at the Russian Academy of Sciences. He is a leading researcher in the area of integrable probability, and has been awarded several prizes, including the Sloan Research Fellowship and the Prize of the Moscow Mathematical Society.
Reviews
'The lectures provide connections between random tilings and many areas in mathematics and theoretical physics, and include an exhaustive reference list. Mathematicians and others interested in the hows and whys of this intriguing area would be well-served by consulting this text.' Thomas Polaski, Mathematical Reviews/MathSciNet
'It seems that the reviewed book is the first introductory text about this fascinating topic. The release of this book is a great event for everyone interested in this problem.' Anton Shutov, zbMATH
Book Information
ISBN 9781108843966
Author Vadim Gorin
Format Hardback
Page Count 200
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 520g
Dimensions(mm) 235mm * 158mm * 20mm
