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arXiv:2211.11232 [math.CO]AbstractReferencesReviewsResources

Polyharmonic Functions in the Quarter Plane (Extended Abstract)

Andreas Nessmann

Published 2022-11-21Version 1

In this article, a novel method to compute all discrete polyharmonic functions in the quarter plane for models with small steps, zero drift and a finite group is proposed. A similar method is then introduced for continuous polyharmonic functions, and convergence between the discrete and continuous cases is shown.

Comments: A full article is to appear shortly
Journal: 33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022); Leibniz International Proceedings in Informatics (LIPIcs) vol.225, 15:1-15:16
Categories: math.CO, math.CA
Subjects: 05A15, 05A16, 60J10, 60J65, G.2.1, G.3
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