{"acknowledgement":"The authors are very grateful to D. Szasz and A. Kramli for valuable discussions and their encouragement. We are also indebted to D. Dϋrr for his comments and suggestions.\r\n","article_processing_charge":"No","citation":{"apa":"Erdös, L., &#38; Tuyen, D. (1992). Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/BF02099260\">https://doi.org/10.1007/BF02099260</a>","ista":"Erdös L, Tuyen D. 1992. Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers. Communications in Mathematical Physics. 143(3), 451–466.","chicago":"Erdös, László, and Dao Tuyen. “Central Limit Theorems for the One-Dimensional Rayleigh Gas with Semipermeable Barriers.” <i>Communications in Mathematical Physics</i>. Springer, 1992. <a href=\"https://doi.org/10.1007/BF02099260\">https://doi.org/10.1007/BF02099260</a>.","ieee":"L. Erdös and D. Tuyen, “Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers,” <i>Communications in Mathematical Physics</i>, vol. 143, no. 3. Springer, pp. 451–466, 1992.","short":"L. Erdös, D. Tuyen, Communications in Mathematical Physics 143 (1992) 451–466.","ama":"Erdös L, Tuyen D. Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers. <i>Communications in Mathematical Physics</i>. 1992;143(3):451-466. doi:<a href=\"https://doi.org/10.1007/BF02099260\">10.1007/BF02099260</a>","mla":"Erdös, László, and Dao Tuyen. “Central Limit Theorems for the One-Dimensional Rayleigh Gas with Semipermeable Barriers.” <i>Communications in Mathematical Physics</i>, vol. 143, no. 3, Springer, 1992, pp. 451–66, doi:<a href=\"https://doi.org/10.1007/BF02099260\">10.1007/BF02099260</a>."},"month":"01","date_created":"2018-12-11T11:59:15Z","status":"public","page":"451 - 466","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","oa":1,"date_updated":"2022-03-16T14:24:12Z","volume":143,"extern":"1","type":"journal_article","publication_identifier":{"issn":["0010-3616"]},"_id":"2722","author":[{"last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","full_name":"Erdös, László","orcid":"0000-0001-5366-9603"},{"last_name":"Tuyen","first_name":"Dao","full_name":"Tuyen, Dao"}],"doi":"10.1007/BF02099260","publication_status":"published","publication":"Communications in Mathematical Physics","abstract":[{"lang":"eng","text":"A version of the one-dimensional Rayleigh gas is considered: a point particle of mass M (molecule), confined to the unit interval [0,1], is surrounded by an infinite ideal gas of point particles of mass 1 (atoms). The molecule interacts with the atoms and with the walls via elastic collision. Central limit theorems are proved for a wide class of additive functionals of this system (e.g. the number of collisions with the walls and the total length of the molecular path)."}],"publisher":"Springer","year":"1992","article_type":"original","day":"01","date_published":"1992-01-01T00:00:00Z","publist_id":"4170","intvolume":"       143","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://projecteuclid.org/journals/communications-in-mathematical-physics/volume-143/issue-3/Central-limit-theorems-for-the-one-dimensional-Rayleigh-gas-with/cmp/1104249076.full"}],"quality_controlled":"1","scopus_import":"1","title":"Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers","issue":"3","oa_version":"Published Version"}