{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,2]],"date-time":"2025-04-02T04:19:38Z","timestamp":1743567578983,"version":"3.40.3"},"reference-count":19,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2024,9,18]],"date-time":"2024-09-18T00:00:00Z","timestamp":1726617600000},"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":[[2025,3]]},"abstract":"Abstract<\/jats:title>We consider two continuous-time generalizations of conservative random walks introduced in Englander and Volkov (2022), an orthogonal and a spherically symmetrical one; the latter model is also known as random flights<\/jats:italic>. For both models, we show the transience of the walks when \n$d\\ge 2$\n<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula> and that the rate of direction changing follows a power law \n$t^{-\\alpha}$\n<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>, \n$0<\\alpha\\le 1$\n<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>, or the law \n$(\\!\\ln t)^{-\\beta}$\n<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula> where \n$\\beta>2$\n<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>.<\/jats:p>","DOI":"10.1017\/jpr.2024.46","type":"journal-article","created":{"date-parts":[[2024,9,18]],"date-time":"2024-09-18T10:06:54Z","timestamp":1726654014000},"page":"153-171","update-policy":"https:\/\/doi.org\/10.1017\/policypage","source":"Crossref","is-referenced-by-count":0,"title":["Transience of continuous-time conservative random walks"],"prefix":"10.1017","volume":"62","author":[{"given":"Satyaki","family":"Bhattacharya","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5289-2256","authenticated-orcid":false,"given":"Stanislav","family":"Volkov","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2024,9,18]]},"reference":[{"key":"S0021900224000469_ref10","doi-asserted-by":"publisher","DOI":"10.1093\/qjmam\/4.2.129"},{"key":"S0021900224000469_ref5","doi-asserted-by":"publisher","DOI":"10.2307\/3215313"},{"key":"S0021900224000469_ref12","doi-asserted-by":"publisher","DOI":"10.1216\/RMJ-1974-4-3-497"},{"volume-title":"Markov Random Flights","year":"2021","key":"S0021900224000469_ref14"},{"key":"S0021900224000469_ref15","doi-asserted-by":"publisher","DOI":"10.1515\/JAA.2006.83"},{"key":"S0021900224000469_ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s10959-007-0093-y"},{"key":"S0021900224000469_ref4","doi-asserted-by":"publisher","DOI":"10.3150\/18-BEJ1098"},{"key":"S0021900224000469_ref2","doi-asserted-by":"publisher","DOI":"10.1017\/9781108755528"},{"key":"S0021900224000469_ref8","doi-asserted-by":"publisher","DOI":"10.1214\/22-EJP863"},{"key":"S0021900224000469_ref17","first-page":"205","article-title":"Planar random motions with drift","volume":"15","author":"Orsingher","year":"2002","journal-title":"J. Appl. Math. Stoch. 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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"}]}}