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Titlebook: Counting Surfaces; CRM Aisenstadt Chair Bertrand Eynard Book 2016 Springer International Publishing Switzerland 2016 Algebraic geometry.Com

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發(fā)表于 2025-3-21 18:29:07 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Counting Surfaces
副標(biāo)題CRM Aisenstadt Chair
編輯Bertrand Eynard
視頻videohttp://file.papertrans.cn/240/239123/239123.mp4
概述First book on explaining the random matrix method to enumerate maps and Riemann surfaces The method has been discovered recently (between 2004 and 2007), and is presently explained only in very few sp
叢書名稱Progress in Mathematical Physics
圖書封面Titlebook: Counting Surfaces; CRM Aisenstadt Chair Bertrand Eynard Book 2016 Springer International Publishing Switzerland 2016 Algebraic geometry.Com
描述.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, probabilists, and physicists. Since 1978, physicists have invented a method called "matrix models" to address that problem, and many results have been obtained..Besides, another important problem in mathematics and physics (in particular string theory), is to count Riemann surfaces. Riemann surfaces of a given topology are parametrized by a finite number of real parameters (called moduli), and the moduli space is a finite dimensional compact manifold or orbifold of complicated topology. The number of Riemann surfaces is the volume of that moduli space. Mor.e generally, an important problem in algebraic geometry is to characterize the moduli spaces, by computing not only their volumes, but also other characteristic numbers called intersection numbers..Witten‘s conjecture
出版日期Book 2016
關(guān)鍵詞Algebraic geometry; Combinatorics; Field theory; Integrability; Matrix model; Moduli Spaces; Riemann surfa
版次1
doihttps://doi.org/10.1007/978-3-7643-8797-6
isbn_ebook978-3-7643-8797-6Series ISSN 1544-9998 Series E-ISSN 2197-1846
issn_series 1544-9998
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:42:46 | 只看該作者
Counting Large Maps,proximation for counting continuous surfaces. The physical motivation is the following: in string theory, particles are 1-dimensional loops called strings, and under time evolution their trajectories in space-time are surfaces. Quantum mechanics amounts to averaging over all possible trajectories be
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1544-9998 04 and 2007), and is presently explained only in very few sp.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 fr
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發(fā)表于 2025-3-23 04:17:01 | 只看該作者
d then arbitrary genus and arbitrary number of boundaries. The disk case (planar rooted maps) was already done by Tutte [83–85]. Generating functions for higher topologies have been computed more recently [5, 31].
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