{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T21:51:04Z","timestamp":1648936264186},"reference-count":10,"publisher":"Cambridge University Press (CUP)","issue":"6","license":[{"start":{"date-parts":[[2016,3,31]],"date-time":"2016-03-31T00:00:00Z","timestamp":1459382400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Combinator. Probab. Comp."],"published-print":{"date-parts":[[2016,11]]},"abstract":"<jats:p>We establish a convexity property for the hitting probabilities of discrete random walks in <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0963548316000109_inline1\" \/><jats:tex-math>${\\mathbb Z}^d$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula> (discrete harmonic measures). For <jats:italic>d<\/jats:italic> = 2 this implies a recent result on the convexity of the density of certain harmonic measures.<\/jats:p>","DOI":"10.1017\/s0963548316000109","type":"journal-article","created":{"date-parts":[[2016,3,31]],"date-time":"2016-03-31T06:18:02Z","timestamp":1459405082000},"page":"928-940","source":"Crossref","is-referenced-by-count":0,"title":["A Convexity Property of Discrete Random Walks"],"prefix":"10.1017","volume":"25","author":[{"given":"G\u00c1BOR V.","family":"NAGY","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"VILMOS","family":"TOTIK","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2016,3,31]]},"reference":[{"key":"S0963548316000109_ref4","doi-asserted-by":"publisher","DOI":"10.1007\/BF01448839"},{"key":"S0963548316000109_ref3","volume-title":"Convergence of Probability Measures","author":"Billingsley","year":"1968"},{"key":"S0963548316000109_ref5","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5208-5"},{"key":"S0963548316000109_ref2","doi-asserted-by":"publisher","DOI":"10.4171\/RMI\/698"},{"key":"S0963548316000109_ref6","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511546617"},{"key":"S0963548316000109_ref9","volume-title":"Brownian Motion and Classical Potential Theory","author":"Port","year":"1978"},{"key":"S0963548316000109_ref10","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511623776"},{"key":"S0963548316000109_ref7","first-page":"3","article-title":"Lattice paths, reflections, and dimension-changing bijections.","volume":"34","author":"Guy","year":"1992","journal-title":"Ars Combin."},{"key":"S0963548316000109_ref1","volume-title":"Classical Potential Theory","author":"Armitage","year":"2002"},{"key":"S0963548316000109_ref8","volume-title":"Foundations of Modern Probability","author":"Kallenberg","year":"1997"}],"container-title":["Combinatorics, Probability and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0963548316000109","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,18]],"date-time":"2019-04-18T20:58:11Z","timestamp":1555621091000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0963548316000109\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,3,31]]},"references-count":10,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2016,11]]}},"alternative-id":["S0963548316000109"],"URL":"https:\/\/doi.org\/10.1017\/s0963548316000109","relation":{},"ISSN":["0963-5483","1469-2163"],"issn-type":[{"value":"0963-5483","type":"print"},{"value":"1469-2163","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,3,31]]}}}