{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T02:06:29Z","timestamp":1772676389816,"version":"3.50.1"},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[2021,9,3]],"date-time":"2021-09-03T00:00:00Z","timestamp":1630627200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2021,9,3]],"date-time":"2021-09-03T00:00:00Z","timestamp":1630627200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Queueing Syst"],"published-print":{"date-parts":[[2021,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Sudbury\u00a0(J Appl Prob 22:443\u2013446, 1985) showed for the Maki\u2013Thompson model of rumour spreading that the proportion of the population never hearing the rumour converges in probability to a limiting constant (approximately equal to 0.203) as the population size tends to infinity. We extend the analysis to a generalisation of the Maki\u2013Thompson model.\n<\/jats:p>","DOI":"10.1007\/s11134-021-09714-x","type":"journal-article","created":{"date-parts":[[2021,9,4]],"date-time":"2021-09-04T00:04:45Z","timestamp":1630713885000},"page":"231-241","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["The proportion of the population never hearing a rumour"],"prefix":"10.1007","volume":"99","author":[{"given":"Y.","family":"Duan","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3000-0434","authenticated-orcid":false,"given":"A.","family":"Ganesh","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,9,3]]},"reference":[{"key":"9714_CR1","first-page":"42","volume":"1","author":"D Daley","year":"1965","unstructured":"Daley, D., Kendall, D.G.: Stochastic rumours. J. Inst. Math. Appl. 1, 42\u201355 (1965)","journal-title":"Math. Appl."},{"key":"9714_CR2","doi-asserted-by":"crossref","unstructured":"Demers, A., Greene, D., Hauser, C., Irish, W., Larson, J., Shenker, S., Sturgis, H., Swinehart D., Terry, D.: Epidemic algorithms for replicated database maintenance, In: Proceedings of ACM Symposium on Principles of Distributed Computing (PODC) (1987)","DOI":"10.1145\/41840.41841"},{"issue":"2","key":"9714_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/3392153","volume":"4","author":"A Gopalan","year":"2020","unstructured":"Gopalan, A., Sankararaman, A., Walid, A., Vishwanath, S.: Stability and scalability of blockchain systems. Proc. ACM Meas. Anal. Comput. Syst. 4(2), 1\u201335 (2020)","journal-title":"Proc. ACM Meas. Anal. Comput. Syst."},{"key":"9714_CR4","doi-asserted-by":"publisher","unstructured":"Isham, V., Kaczmarska, J., Nekovee, M.: Spread of information and infection on finite random networks. Phys. Rev. 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Prentice-Hall, Englewood Cliffs, N.J. (1973)"},{"key":"9714_CR8","doi-asserted-by":"crossref","unstructured":"Patsonakis, C., Roussopoulos, M.: Revisiting asynchronous rumor spreading in the blockchain era, In: Proceedings of IEEE Conference on Parallel and Distributed Systems (ICPADS), pp. 284\u2013293 (2019)","DOI":"10.1109\/ICPADS47876.2019.00048"},{"key":"9714_CR9","doi-asserted-by":"publisher","first-page":"14","DOI":"10.2307\/3214592","volume":"27","author":"B Pittel","year":"1990","unstructured":"Pittel, B.: On a Daley-Kendall model of random rumours. J. Appl. Prob. 27, 14\u201327 (1990)","journal-title":"J. Appl. Prob."},{"key":"9714_CR10","doi-asserted-by":"publisher","first-page":"443","DOI":"10.2307\/3213787","volume":"22","author":"A Sudbury","year":"1985","unstructured":"Sudbury, A.: The proportion of the population never hearing a rumour. J. Appl. Prob. 22, 443\u2013446 (1985)","journal-title":"J. Appl. 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