@InProceedings{chatterjee_et_al:LIPIcs.CONCUR.2020.23, author = {Chatterjee, Krishnendu and Henzinger, Thomas A. and Otop, Jan}, title = {{Multi-Dimensional Long-Run Average Problems for Vector Addition Systems with States}}, booktitle = {31st International Conference on Concurrency Theory (CONCUR 2020)}, pages = {23:1--23:22}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-160-3}, ISSN = {1868-8969}, year = {2020}, volume = {171}, editor = {Konnov, Igor and Kov\'{a}cs, Laura}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2020.23}, URN = {urn:nbn:de:0030-drops-128359}, doi = {10.4230/LIPIcs.CONCUR.2020.23}, annote = {Keywords: vector addition systems, mean-payoff, multidimension, probabilistic semantics} }