{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T18:31:06Z","timestamp":1773081066954,"version":"3.50.1"},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Theor. Appl. Finan."],"published-print":{"date-parts":[[2002,12]]},"abstract":"<jats:p> The statistical properties of a stochastic process may be described (1) by the expectation values of the observables, (2) by the probability distribution functions or (3) by probability measures on path space. Here an analysis of level (3) is carried out for market fluctuation processes. Gibbs measures and chains with complete connections are considered. Some other topics are also discussed, in particular the asymptotic stationarity of the processes and the behavior of statistical indicators of level (1) and (2). We end up with some remarks concerning the nature and origin of the market fluctuation process and its relation to the efficient market hypothesis. <\/jats:p>","DOI":"10.1142\/s0219024902001730","type":"journal-article","created":{"date-parts":[[2002,11,29]],"date-time":"2002-11-29T11:25:34Z","timestamp":1038569134000},"page":"797-821","source":"Crossref","is-referenced-by-count":18,"title":["A PROCESS-RECONSTRUCTION ANALYSIS OF MARKET FLUCTUATIONS"],"prefix":"10.1142","volume":"05","author":[{"given":"R.","family":"VILELA MENDES","sequence":"first","affiliation":[{"name":"Laborat\u00f3rio de Mecatr\u00f3nica, DEEC, Instituto Superior T\u00e9cnico, Av. Rovisco Pais, 1096 Lisboa Codex, Portugal"},{"name":"Zentrum f\u00fcr interdisziplin\u00e4re Forschung, Universit\u00e4t Bielefeld, Wellenberg 1, 33615 Bielefeld, Germany"}]},{"given":"R.","family":"LIMA","sequence":"additional","affiliation":[{"name":"Zentrum f\u00fcr interdisziplin\u00e4re Forschung, Universit\u00e4t Bielefeld, Wellenberg 1, 33615 Bielefeld, Germany"},{"name":"Centre de Physique Th\u00e9orique CNRS, Luminy, Case 907, F13288 Marseille Cedex 9, France"}]},{"given":"T.","family":"ARA\u00daJO","sequence":"additional","affiliation":[{"name":"Zentrum f\u00fcr interdisziplin\u00e4re Forschung, Universit\u00e4t Bielefeld, Wellenberg 1, 33615 Bielefeld, Germany"},{"name":"Dept. Economia, ISEG, R. Miguel Lupi 20, 1200 Lisboa, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/29\/15\/015"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(96)00065-6"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1051\/jp4:1998621"},{"key":"p_6","first-page":"241","volume":"3","author":"Collet P.","year":"1995","journal-title":"Random and Computational Dynamics"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1023\/A:1023220802597"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1038\/381767a0"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1038\/383587a0"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1038\/376046a0"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-405X(98)00026-9"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-405X(98)00027-0"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1111\/j.1540-6261.1985.tb05004.x"},{"issue":"11","key":"p_18","first-page":"1","volume":"2","author":"Laster D.","year":"1996","journal-title":"Current Issues in Economics and Finance"},{"key":"p_21","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/29\/10\/024"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(98)00497-X"},{"key":"p_23","doi-asserted-by":"publisher","DOI":"10.1016\/0550-3213(92)90090-X"},{"key":"p_24","first-page":"61","volume":"1","author":"Onicescu O.","year":"1940","journal-title":"Disq. Math. Phys."},{"key":"p_25","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-4149(99)00025-3"},{"key":"p_27","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176990729"}],"container-title":["International Journal of Theoretical and Applied Finance"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219024902001730","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T17:14:34Z","timestamp":1565198074000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219024902001730"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,12]]},"references-count":18,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2002,12]]}},"alternative-id":["10.1142\/S0219024902001730"],"URL":"https:\/\/doi.org\/10.1142\/s0219024902001730","relation":{},"ISSN":["0219-0249","1793-6322"],"issn-type":[{"value":"0219-0249","type":"print"},{"value":"1793-6322","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,12]]}}}