Asymptotics of multivariate sequences, part III: quadratic points

Details Asymptotics of multivariate sequences, part III: quadratic points Asymptotics of multivariate sequences, part III: quadratic points

2008-10-27

arxiv.org/abs/0810.4898v3

Mathematics

Combinatorics

substantial corrections

Scientific paper

We consider a number of combinatorial problems in which rational generating functions may be obtained, whose denominators have factors with certain singularities. Specifically, there exist points near which one of the factors is asymptotic to a nondegenerate quadratic. We compute the asymptotics of the coefficients of such a generating function. The computation requires some topological deformations as well as Fourier-Laplace transforms of generalized functions. We apply the results of the theory to specific combinatorial problems, such as Aztec diamond tilings, cube groves, and multi-set permutations.

Affiliated with

Also associated with

No associations

Rating

Asymptotics of multivariate sequences, part III: quadratic points does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotics of multivariate sequences, part III: quadratic points, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotics of multivariate sequences, part III: quadratic points will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-324688