长矛
发表于 2025-3-23 11:38:54
Springer International Publishing Switzerland 2016
Amorous
发表于 2025-3-23 17:49:44
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.
眉毛
发表于 2025-3-23 19:12:56
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. .
Ornament
发表于 2025-3-24 00:36:43
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打谷工具
发表于 2025-3-24 05:48:27
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resilience
发表于 2025-3-24 10:17:50
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.
哥哥喷涌而出
发表于 2025-3-24 10:54:20
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去才蔑视
发表于 2025-3-24 18:27:56
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. .
混乱生活
发表于 2025-3-24 20:22:40
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天赋
发表于 2025-3-25 03:09:47
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.