@InProceedings{gnedin_et_al:LIPIcs.AofA.2020.14, author = {Gnedin, Alexander and Seksenbayev, Amirlan}, title = {{Diffusion Limits in the Online Subsequence Selection Problems}}, booktitle = {31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020)}, pages = {14:1--14:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-147-4}, ISSN = {1868-8969}, year = {2020}, volume = {159}, editor = {Drmota, Michael and Heuberger, Clemens}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2020.14}, URN = {urn:nbn:de:0030-drops-120444}, doi = {10.4230/LIPIcs.AofA.2020.14}, annote = {Keywords: sequential optimisation, longest increasing subsequence, bin packing, fluctuations in the selection process, functional limit} }