License: 
Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.AofA.2022.15
URN: urn:nbn:de:0030-drops-161016
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/16101/
Nessmann, Andreas
Polyharmonic Functions in the Quarter Plane
Abstract
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.
BibTeX - Entry
@InProceedings{nessmann:LIPIcs.AofA.2022.15,
author = {Nessmann, Andreas},
title = {{Polyharmonic Functions in the Quarter Plane}},
booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)},
pages = {15:1--15:16},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-230-3},
ISSN = {1868-8969},
year = {2022},
volume = {225},
editor = {Ward, Mark Daniel},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2022/16101},
URN = {urn:nbn:de:0030-drops-161016},
doi = {10.4230/LIPIcs.AofA.2022.15},
annote = {Keywords: Polyharmonic functions, Functional equations, Lattice paths, Random walks, Brownian motion, Generating functions, Laplace transforms}
}
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Keywords: |
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Polyharmonic functions, Functional equations, Lattice paths, Random walks, Brownian motion, Generating functions, Laplace transforms |
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Collection: |
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33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022) |
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Issue Date: |
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2022 |
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Date of publication: |
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08.06.2022 |
