{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T09:37:11Z","timestamp":1773653831809,"version":"3.50.1"},"reference-count":0,"publisher":"Cambridge University Press (CUP)","license":[{"start":{"date-parts":[[2005,10,25]],"date-time":"2005-10-25T00:00:00Z","timestamp":1130198400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Fluid Mech."],"published-print":{"date-parts":[[2005,11,10]]},"abstract":"<jats:p>The multifractal theory of turbulence uses a saddle-point evaluation in determining the power-law behaviour of structure functions. Without suitable precautions, this could lead to the presence of logarithmic corrections, thereby violating known exact relations such as the four-fifths law. Using the theory of large deviations applied to the random multiplicative model of turbulence and calculating subdominant terms, we explain here why such corrections cannot be present.<\/jats:p>","DOI":"10.1017\/s0022112005006178","type":"journal-article","created":{"date-parts":[[2005,10,25]],"date-time":"2005-10-25T09:49:33Z","timestamp":1130233773000},"page":"97-103","source":"Crossref","is-referenced-by-count":11,"title":["Does multifractal theory of turbulence have logarithms in the scaling relations?"],"prefix":"10.1017","volume":"542","author":[{"given":"U.","family":"FRISCH","sequence":"first","affiliation":[]},{"given":"M. MARTINS","family":"AFONSO","sequence":"additional","affiliation":[]},{"given":"A.","family":"MAZZINO","sequence":"additional","affiliation":[]},{"given":"V.","family":"YAKHOT","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2005,10,25]]},"container-title":["Journal of Fluid Mechanics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022112005006178","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,21]],"date-time":"2025-06-21T06:48:53Z","timestamp":1750488533000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022112005006178\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,10,25]]},"references-count":0,"alternative-id":["S0022112005006178"],"URL":"https:\/\/doi.org\/10.1017\/s0022112005006178","relation":{},"ISSN":["0022-1120","1469-7645"],"issn-type":[{"value":"0022-1120","type":"print"},{"value":"1469-7645","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,10,25]]}}}