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Counting surfaces : CRM Aisenstadt chair lectures

Author: Bertrand Eynard
Publisher: Switzerland : Springer, [2016] ©2016
Series: Progress in mathematical physics, v. 70.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
The problem of enumerating maps (a map is a set of polygonal "countries" on a world of a certain topology, not necessarily the plane or the sphere) is an important problem in mathematics and physics, and it has many applications ranging from statistical physics, geometry, particle physics, telecommunications, biology, ... etc. This problem has been studied by many communities of researchers, mostly combinatorists,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Bertrand Eynard
ISBN: 9783764387976 3764387971 3764387963 9783764387969
OCLC Number: 945445120
Description: 1 online resource.
Contents: I Maps and discrete surfaces --
II Formal matrix integrals --
III Solution of Tutte-loop equations --
IV Multicut case --
V Counting large maps --
VI Counting Riemann surfaces --
VII Topological recursion and symplectic invariants --
VIII Ising model --
Index --
Bibliography.
Series Title: Progress in mathematical physics, v. 70.
Responsibility: Bertrand Eynard.
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Abstract:

This book explains the "matrix model" method developed by physicists to address the problem of enumerating maps and compares it with other methods. It includes proofs, examples and a general formula  Read more...

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"The author explains how matrix models and counting surfaces are related and aims at presenting to mathematicians and physicists the random matrix approach to quantum gravity. ... The book is an Read more...

 
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