{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T02:06:23Z","timestamp":1775527583278,"version":"3.50.1"},"reference-count":15,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T00:00:00Z","timestamp":1769990400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["cambridge.org"],"crossmark-restriction":true},"short-container-title":["J. Appl. Probab."],"published-print":{"date-parts":[[2026,3]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    We consider a generalization of the forest fire model on\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"png\" xlink:href=\"S0021900225100405_inline2.png\"\/>\n                        <jats:tex-math>$\\mathbb{Z}_+$<\/jats:tex-math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    with ignition at zero only, studied by Volkov (2009\n                    <jats:italic>ALEA<\/jats:italic>\n                    <jats:bold>6,<\/jats:bold>\n                    399\u2013414). Unlike that model, we allow delays in the spread of the fires and the non-zero burning time of individual \u2018trees\u2019. We obtain some general properties for this model, which cover, among others, the phenomenon of an \u2018infinite fire\u2019, not present in the original model.\n                  <\/jats:p>","DOI":"10.1017\/jpr.2025.10040","type":"journal-article","created":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T12:11:21Z","timestamp":1770034281000},"page":"116-134","update-policy":"https:\/\/doi.org\/10.1017\/policypage","source":"Crossref","is-referenced-by-count":0,"title":["Forest fire model on \n$\\mathbb{Z}_+$\n with delays"],"prefix":"10.1017","volume":"63","author":[{"given":"Satyaki","family":"Bhattacharya","sequence":"first","affiliation":[{"name":"Lund University"}]},{"given":"Stanislav","family":"Volkov","sequence":"additional","affiliation":[{"name":"Lund University"}]}],"member":"56","published-online":{"date-parts":[[2026,2,2]]},"reference":[{"key":"S0021900225100405_ref11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.69.1629"},{"key":"S0021900225100405_ref8","doi-asserted-by":"publisher","DOI":"10.24033\/msmf.442"},{"key":"S0021900225100405_ref14","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-6257-9"},{"key":"S0021900225100405_ref15","first-page":"399","article-title":"Forest fires on","volume":"6","author":"Volkov","year":"2009","journal-title":"ALEA"},{"key":"S0021900225100405_ref12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.71.3739"},{"key":"S0021900225100405_ref7","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-020-01022-4"},{"key":"S0021900225100405_ref13","doi-asserted-by":"publisher","DOI":"10.1214\/14-AOP958"},{"key":"S0021900225100405_ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-006-0025-1"},{"key":"S0021900225100405_ref1","doi-asserted-by":"publisher","DOI":"10.1214\/13-AIHP587"},{"key":"S0021900225100405_ref3","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-4149(01)00113-2"},{"key":"S0021900225100405_ref2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-5426-1"},{"key":"S0021900225100405_ref10","doi-asserted-by":"publisher","DOI":"10.1214\/EJP.v20-4035"},{"key":"S0021900225100405_ref5","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-004-1200-x"},{"key":"S0021900225100405_ref4","doi-asserted-by":"publisher","DOI":"10.1002\/rsa.20003"},{"key":"S0021900225100405_ref9","doi-asserted-by":"publisher","DOI":"10.1017\/jpr.2022.51"}],"container-title":["Journal of Applied Probability"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0021900225100405","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T01:25:19Z","timestamp":1775525119000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0021900225100405\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,2,2]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2026,3]]}},"alternative-id":["S0021900225100405"],"URL":"https:\/\/doi.org\/10.1017\/jpr.2025.10040","relation":{},"ISSN":["0021-9002","1475-6072"],"issn-type":[{"value":"0021-9002","type":"print"},{"value":"1475-6072","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,2,2]]},"assertion":[{"value":"\u00a9 The Author(s), 2026. Published by Cambridge University Press on behalf of Applied Probability Trust","name":"copyright","label":"Copyright","group":{"name":"copyright_and_licensing","label":"Copyright and Licensing"}},{"value":"This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https:\/\/creativecommons.org\/licenses\/by\/4.0\/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.","name":"license","label":"License","group":{"name":"copyright_and_licensing","label":"Copyright and Licensing"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}