{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,4,27]],"date-time":"2023-04-27T04:09:47Z","timestamp":1682568587785},"reference-count":9,"publisher":"Cambridge University Press (CUP)","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Appl. Probab."],"published-print":{"date-parts":[[2012,3]]},"abstract":"<jats:p>Juggler's exclusion process describes a system of particles on the positive integers where particles drift down to zero at unit speed. After a particle hits zero, it jumps into a randomly chosen unoccupied site. We model the system as a set-valued Markov process and show that the process is ergodic if the family of jump height distributions is uniformly integrable. In a special case where the particles jump according to a set-avoiding memoryless distribution, the process reaches its equilibrium in finite nonrandom time, and the equilibrium distribution can be represented as a Gibbs measure conforming to a linear gravitational potential.<\/jats:p>","DOI":"10.1017\/s0021900200008986","type":"journal-article","created":{"date-parts":[[2016,3,29]],"date-time":"2016-03-29T14:50:26Z","timestamp":1459263026000},"page":"266-279","source":"Crossref","is-referenced-by-count":0,"title":["Juggler's Exclusion Process"],"prefix":"10.1017","volume":"49","author":[{"given":"Lasse","family":"Leskel\u00e4","sequence":"first","affiliation":[]},{"given":"Harri","family":"Varpanen","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2016,2,4]]},"reference":[{"key":"S0021900200008986_ref10","doi-asserted-by":"publisher","DOI":"10.2307\/30037409"},{"key":"S0021900200008986_ref9","volume-title":"Enumerative Combinatorics","volume":"1","year":"1997"},{"key":"S0021900200008986_ref8","volume-title":"Markov Chains and Stochastic Stability","year":"1993"},{"key":"S0021900200008986_ref7","first-page":"303","volume":"8","year":"2011","journal-title":"ALEA"},{"key":"S0021900200008986_ref1","volume-title":"Applied Probability and Queues","year":"2003"},{"key":"S0021900200008986_ref4","volume-title":"Reversibility and Stochastic Networks","year":"1979"},{"key":"S0021900200008986_ref3","volume-title":"Probability on Graphs","year":"2010"},{"key":"S0021900200008986_ref2","volume-title":"Elements of Information Theory","year":"2006"},{"key":"S0021900200008986_ref6","volume-title":"Interacting Particle Systems","year":"1985"}],"container-title":["Journal of Applied Probability"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0021900200008986","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,26]],"date-time":"2023-04-26T06:39:10Z","timestamp":1682491150000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0021900200008986\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,3]]},"references-count":9,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2012,3]]}},"alternative-id":["S0021900200008986"],"URL":"https:\/\/doi.org\/10.1017\/s0021900200008986","relation":{},"ISSN":["0021-9002","1475-6072"],"issn-type":[{"value":"0021-9002","type":"print"},{"value":"1475-6072","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,3]]}}}