whiplash 发表于 2025-3-21 19:16:08

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发酵 发表于 2025-3-21 21:16:07

Foundations of the Analytic ApproachThis chapter presents the essential stepping stones of the analytic approach. They require in particular some basic notions concerning Riemann surfaces and algebraic curves.

exostosis 发表于 2025-3-22 04:27:15

The Case of a Finite GroupIn Sect. ., the group . of the random walk was shown to be of even order ..

Ganglion-Cyst 发表于 2025-3-22 07:13:54

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inspired 发表于 2025-3-22 11:59:33

Criterion for the Finiteness of the Group in the Genus 0 CaseThe goal of this chapter is to derive a concrete necessary and sufficient condition for the finiteness of . (the group of the random walk introduced in Definition .) in the genus 0 case.

杠杆 发表于 2025-3-22 15:25:19

MiscellaneaIn the first 7 chapters, we fully described only some of the topics related to the subject. There are, however, many directly related questions which, although not dealt with in the present book, deserve mention in this chapter so as to provide a panoramic overview.

CANT 发表于 2025-3-22 20:11:35

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ANTI 发表于 2025-3-23 00:04:23

Counting Lattice Walks in the Quarter PlaneEnumeration of planar lattice walks has become a classical topic in combinatorics. For a given set . of allowed jumps (or steps), it is a matter of counting the number of paths starting from some point and ending at some arbitrary point in a given time, and possibly restricted to some regions of the plane.

察觉 发表于 2025-3-23 04:17:01

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Graphite 发表于 2025-3-23 08:29:14

Guy Fayolle,Roudolf Iasnogorodski,Vadim MalyshevPromotes original analytic methods to determine the invariant measure of two-dimensional random walks in domains with boundaries. These processes appear in several mathematical areas (Stochastic Netwo
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查看完整版本: Titlebook: Random Walks in the Quarter Plane; Algebraic Methods, B Guy Fayolle,Roudolf Iasnogorodski,Vadim Malyshev Book 2017Latest edition Springer I