Lectures on Random Lozenge Tilings

Vadim Gorin (University of Wisconsin, Madison)

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English

Cambridge University Press
09 September 2021

Information theory; Discrete mathematics; Probability & statistics; Mathematical physics

Series: Cambridge Studies in Advanced Mathematics

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.

By: Vadim Gorin (University of Wisconsin Madison)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 235mm, Width: 158mm, Spine: 20mm
Weight: 520g
ISBN: 9781108843966
ISBN 10: 1108843964
Series: Cambridge Studies in Advanced Mathematics
Pages: 200
Publication Date: 09 September 2021
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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 for Lectures on Random Lozenge Tilings

'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