作者: Asymptomatic 時(shí)間: 2025-3-21 23:42
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作者: 后天習(xí)得 時(shí)間: 2025-3-22 00:36 作者: NIB 時(shí)間: 2025-3-22 06:43 作者: 精致 時(shí)間: 2025-3-22 11:23 作者: ineptitude 時(shí)間: 2025-3-22 16:45 作者: ineptitude 時(shí)間: 2025-3-22 17:35 作者: Alveolar-Bone 時(shí)間: 2025-3-22 23:43
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作者: frivolous 時(shí)間: 2025-3-23 04:17
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].作者: 無畏 時(shí)間: 2025-3-23 07:45 作者: 長(zhǎng)矛 時(shí)間: 2025-3-23 11:38
Springer International Publishing Switzerland 2016作者: Amorous 時(shí)間: 2025-3-23 17:49
Werner Rittberger,Bernward JenschkeIn this chapter we introduce definitions of maps, which are discrete surfaces obtained by gluing polygons along their sides, and we define generating functions to count them. We also derive Tutte’s equations, which are recursive equations satisfied by the generating functions.作者: 眉毛 時(shí)間: 2025-3-23 19:12
In this chapter we introduce the notion of a formal matrix integral, which is very useful for combinatorics, as it turns out to be identical to the generating function of maps of Chap.?.作者: Ornament 時(shí)間: 2025-3-24 00:36 作者: 打谷工具 時(shí)間: 2025-3-24 05:48 作者: resilience 時(shí)間: 2025-3-24 10:17
https://doi.org/10.1007/978-3-476-03355-0We have seen, in almost all previous chapters, that symplectic invariants and topological recursion play an important role. They give the solution to Tutte’s recursion equation for maps, they give the formal expansion of various matrix integrals, including Kontsevich integral, and they also give the asymptotics of large maps.作者: 哥哥噴涌而出 時(shí)間: 2025-3-24 10:54 作者: 去才蔑視 時(shí)間: 2025-3-24 18:27
Formal Matrix Integrals,In this chapter we introduce the notion of a formal matrix integral, which is very useful for combinatorics, as it turns out to be identical to the generating function of maps of Chap.?.作者: 混亂生活 時(shí)間: 2025-3-24 20:22 作者: 天賦 時(shí)間: 2025-3-25 03:09
Counting Riemann Surfaces,In the previous chapter, we have computed the asymptotic generating functions of large maps, and we have seen that they are related to the (?.,?.) minimal model.作者: relieve 時(shí)間: 2025-3-25 04:51
Topological Recursion and Symplectic Invariants,We have seen, in almost all previous chapters, that symplectic invariants and topological recursion play an important role. They give the solution to Tutte’s recursion equation for maps, they give the formal expansion of various matrix integrals, including Kontsevich integral, and they also give the asymptotics of large maps.作者: 人造 時(shí)間: 2025-3-25 08:28 作者: 陰謀 時(shí)間: 2025-3-25 11:48
https://doi.org/10.1007/978-3-476-03355-0 unit of magnetization, pointing either upward + or downward ?. This can also be represented as a map with bicolored faces black/white, or + ∕?, or any other convenient choice. The color is also called the spin, worth + or ?.作者: 材料等 時(shí)間: 2025-3-25 18:43 作者: 諄諄教誨 時(shí)間: 2025-3-25 23:41
Progress in Mathematical Physicshttp://image.papertrans.cn/c/image/239123.jpg作者: ODIUM 時(shí)間: 2025-3-26 00:49 作者: START 時(shí)間: 2025-3-26 07:49
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作者: Cirrhosis 時(shí)間: 2025-3-26 10:32 作者: 罐里有戒指 時(shí)間: 2025-3-26 16:28 作者: 休息 時(shí)間: 2025-3-26 17:38
1544-9998 lly, 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 978-3-7643-8797-6Series ISSN 1544-9998 Series E-ISSN 2197-1846 作者: Cacophonous 時(shí)間: 2025-3-26 22:36
Book 2016 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 作者: 廢除 時(shí)間: 2025-3-27 01:43 作者: capillaries 時(shí)間: 2025-3-27 08:57
Schreiben als Handlung nicht auf den Erwerb der mündlichen Sprachfertigkeit, sondern umfa?t auch die Fertigkeiten des Lesens und Schreibens. Nicht zuletzt deshalb geh?rt ihre Vermittlung zu den zentralen Aufgaben der Grundschule.作者: gene-therapy 時(shí)間: 2025-3-27 12:47 作者: Harness 時(shí)間: 2025-3-27 15:15 作者: 確認(rèn) 時(shí)間: 2025-3-27 18:30
Wave Propagation in Infinite Domainsial conversion is the log of changes and identifiers’ mapping. Both strategies are focused on the problems of the cyclic conversions used during the iterative model/drawing creation and both involve the agents that manage additional data structures, which help to correct the data during backward import.作者: 留戀 時(shí)間: 2025-3-27 23:30 作者: 高談闊論 時(shí)間: 2025-3-28 02:19
e thermal process. The .-to-. mechanism, possibly an intramolecular rearrangement of a low-lying ligand field state, is also believed to be different from the reverse which occurs by charge transfer excitation.. The rate of interconversion of . isomers of [Pt(03B7;.-crotyl)(C.Cl.)(PPh.)] is suppress作者: 詢問 時(shí)間: 2025-3-28 06:24 作者: 打包 時(shí)間: 2025-3-28 13:24 作者: 撕裂皮肉 時(shí)間: 2025-3-28 15:28
https://doi.org/10.1007/978-94-009-2611-0ual maturity; a universal character of these parasites is that at least one of the intermediate hosts must be a mollusc, usually either a snail or a bivalve, and in this molluscan host there is always a phase of asexual larval multiplication.作者: 燒瓶 時(shí)間: 2025-3-28 22:50 作者: 埋伏 時(shí)間: 2025-3-29 01:04
,Kurvenm??ige Darstellung der Ergebnisse aus den Stoffwechselversuchen und den humoralen Befunden,
