{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T22:35:08Z","timestamp":1778798108738,"version":"3.51.4"},"reference-count":21,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2020,12,1]],"date-time":"2020-12-01T00:00:00Z","timestamp":1606780800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2020,12,1]],"date-time":"2020-12-01T00:00:00Z","timestamp":1606780800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2024,12,1]],"date-time":"2024-12-01T00:00:00Z","timestamp":1733011200000},"content-version":"vor","delay-in-days":1461,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"},{"start":{"date-parts":[[2020,12,1]],"date-time":"2020-12-01T00:00:00Z","timestamp":1606780800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2020,12,1]],"date-time":"2020-12-01T00:00:00Z","timestamp":1606780800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2020,12,1]],"date-time":"2020-12-01T00:00:00Z","timestamp":1606780800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2020,12,1]],"date-time":"2020-12-01T00:00:00Z","timestamp":1606780800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2020,12,1]],"date-time":"2020-12-01T00:00:00Z","timestamp":1606780800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100002428","name":"Austrian Science Fund","doi-asserted-by":"publisher","award":["F5513-N26"],"award-info":[{"award-number":["F5513-N26"]}],"id":[{"id":"10.13039\/501100002428","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001663","name":"Volkswagen Foundation, Germany","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001663","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Campus laboratory AIMS, Germany"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Complexity"],"published-print":{"date-parts":[[2020,12]]},"DOI":"10.1016\/j.jco.2020.101483","type":"journal-article","created":{"date-parts":[[2020,4,2]],"date-time":"2020-04-02T11:11:34Z","timestamp":1585825894000},"page":"101483","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":9,"special_numbering":"C","title":["Expected dispersion of uniformly distributed points"],"prefix":"10.1016","volume":"61","author":[{"given":"Aicke","family":"Hinrichs","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David","family":"Krieg","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Robert J.","family":"Kunsch","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daniel","family":"Rudolf","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.jco.2020.101483_b1","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1016\/j.dam.2017.06.008","article-title":"On the size of the largest empty box amidst a point set","volume":"230","author":"Aistleitner","year":"2017","journal-title":"Discrete Appl. Math."},{"issue":"2","key":"10.1016\/j.jco.2020.101483_b2","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1007\/s00365-013-9219-x","article-title":"Approximation of high-dimensional rank one tensors","volume":"39","author":"Bachmayr","year":"2014","journal-title":"Constr. Approx."},{"key":"10.1016\/j.jco.2020.101483_b3","series-title":"Fibonacci lattices have minimal dispersion on the two-dimensional torus","author":"Breneis","year":"2019"},{"key":"10.1016\/j.jco.2020.101483_b4","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1016\/j.jco.2007.08.003","article-title":"Bracketing numbers for axis-parallel boxes and applications to geometric discrepancy","volume":"24","author":"Gnewuch","year":"2008","journal-title":"J. Complexity"},{"key":"10.1016\/j.jco.2020.101483_b5","first-page":"43","article-title":"Absch\u00e4tzung von trigonometrischen Summen mittels diophantischer Approximationen","volume":"185","author":"Hlawka","year":"1976","journal-title":"\u00d6sterreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II"},{"key":"10.1016\/j.jco.2020.101483_b6","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/j.jco.2017.11.005","article-title":"On the dispersion of sparse grids","volume":"45","author":"Krieg","year":"2018","journal-title":"J. Complexity"},{"key":"10.1016\/j.jco.2020.101483_b7","series-title":"Algorithms and, Complexity for some Multivariate Problems","author":"Krieg","year":"2019"},{"key":"10.1016\/j.jco.2020.101483_b8","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.jat.2018.08.002","article-title":"Recovery algorithms for high-dimensional rank one tensors","volume":"237","author":"Krieg","year":"2019","journal-title":"J. Approx. Theory"},{"key":"10.1016\/j.jco.2020.101483_b9","series-title":"Markov Chains and Mixing Times","author":"Levin","year":"2009"},{"issue":"2","key":"10.1016\/j.jco.2020.101483_b10","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1007\/BF01200907","article-title":"Efficient construction of a small hitting set for combinatorial rectangles in high dimension","volume":"17","author":"Linial","year":"1997","journal-title":"Combinatorica"},{"issue":"1","key":"10.1016\/j.jco.2020.101483_b11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00365-015-9282-6","article-title":"Tractability of the approximation of high-dimensional rank one tensors","volume":"43","author":"Novak","year":"2016","journal-title":"Constr. Approx."},{"issue":"8\u20139","key":"10.1016\/j.jco.2020.101483_b12","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/0895-7177(96)00036-2","article-title":"Quasi-Monte Carlo methods and the dispersion of point sequences","volume":"23","author":"Rote","year":"1996","journal-title":"Math. Comp."},{"key":"10.1016\/j.jco.2020.101483_b13","first-page":"1099","article-title":"An upper bound of the minimal dispersion via delta covers","volume":"vol. 1, 2","author":"Rudolf","year":"2018"},{"key":"10.1016\/j.jco.2020.101483_b14","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.spl.2014.05.019","article-title":"Limiting distribution of the maximal distance between random points on a circle: A moments approach","volume":"92","author":"Schlemm","year":"2014","journal-title":"Statist. Probab. Lett."},{"key":"10.1016\/j.jco.2020.101483_b15","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/j.ejc.2017.11.006","article-title":"A note on the minimal dispersion of point sets in the unit cube","volume":"69","author":"Sosnovec","year":"2018","journal-title":"European J. Combin."},{"key":"10.1016\/j.jco.2020.101483_b16","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/j.jco.2018.02.001","article-title":"Universal discretization","volume":"47","author":"Temlyakov","year":"2018","journal-title":"J. Complexity"},{"key":"10.1016\/j.jco.2020.101483_b17","series-title":"Topics in Classical and Modern Analysis, Applied and Numerical Harmonic Analysis","first-page":"565","article-title":"Fixed volume discrepancy in the periodic case","author":"Temlyakov","year":"2019"},{"key":"10.1016\/j.jco.2020.101483_b18","doi-asserted-by":"crossref","DOI":"10.1016\/j.jco.2020.101472","article-title":"On the fixed volume discrepancy of the fibonacci sets in the integral norms","volume":"61","author":"Temlyakov","year":"2020","journal-title":"J. Complexity"},{"key":"10.1016\/j.jco.2020.101483_b19","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1016\/j.matcom.2015.12.005","article-title":"A lower bound for the dispersion on the torus","volume":"143","author":"Ullrich","year":"2018","journal-title":"Math. Comput. Simulation"},{"key":"10.1016\/j.jco.2020.101483_b20","doi-asserted-by":"crossref","first-page":"120","DOI":"10.1016\/j.jco.2017.11.003","article-title":"An upper bound on the minimal dispersion","volume":"45","author":"Ullrich","year":"2018","journal-title":"J. Complexity"},{"key":"10.1016\/j.jco.2020.101483_b21","series-title":"Deterministic constructions of high-dimensional sets with small dispersion","author":"Ullrich","year":"2019"}],"container-title":["Journal of Complexity"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0885064X20300261?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0885064X20300261?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:16:48Z","timestamp":1760127408000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0885064X20300261"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,12]]},"references-count":21,"alternative-id":["S0885064X20300261"],"URL":"https:\/\/doi.org\/10.1016\/j.jco.2020.101483","relation":{},"ISSN":["0885-064X"],"issn-type":[{"value":"0885-064X","type":"print"}],"subject":[],"published":{"date-parts":[[2020,12]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Expected dispersion of uniformly distributed points","name":"articletitle","label":"Article Title"},{"value":"Journal of Complexity","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.jco.2020.101483","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2020 Elsevier Inc.","name":"copyright","label":"Copyright"}],"article-number":"101483"}}