文化修养 发表于 2025-3-21 18:29:07
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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后天习得 发表于 2025-3-22 00:36:18
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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 frfrivolous 发表于 2025-3-23 04:17:01
d then arbitrary genus and arbitrary number of boundaries. The disk case (planar rooted maps) was already done by Tutte . Generating functions for higher topologies have been computed more recently .无畏 发表于 2025-3-23 07:45:05
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