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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Volume 258, Pages 107–153 (Mi tm480)  
This article is cited in 18 scientific papers (total in 18 papers)

On Malliavin Measures, SLE, and CFT

M. L. Kontsevicha, Yu. M. Sukhovb

a Institut des Hautes Études Scientifiques
b Statistical Laboratory, Centre for Mathematical Sciences, University of Cambridge
Full-text PDF (558 kB) Citations (18)
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Abstract: This paper is dedicated to the 70th birthday of V. Arnol'd. The paper is motivated by emerging connections between the conformal field theory (CFT) on the one hand and stochastic Löwner evolution (SLE) processes and measures that play the role of the Haar measures for the diffeomorphism group of a circle, on the other hand. We attempt to build a framework for widely spread beliefs that SLE processes would provide a picture of phase separation in a small massive perturbation of the CFT.
Received in September 2006
English version:
Proceedings of the Steklov Institute of Mathematics, 2007, Volume 258, Pages 100–146
DOI: https://doi.org/10.1134/S0081543807030108
Bibliographic databases:
UDC: 517.958+517.987+519.21
Language: English
Citation: M. L. Kontsevich, Yu. M. Sukhov, “On Malliavin Measures, SLE, and CFT”, Analysis and singularities. Part 1, Collected papers. Dedicated to academician Vladimir Igorevich Arnold on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 258, Nauka, MAIK «Nauka/Inteperiodika», M., 2007, 107–153; Proc. Steklov Inst. Math., 258 (2007), 100–146
Citation in format AMSBIB
\Bibitem{KonSuk07}
\by M.~L.~Kontsevich, Yu.~M.~Sukhov
\paper On Malliavin Measures, SLE, and~CFT
\inbook Analysis and singularities. Part~1
\bookinfo Collected papers. Dedicated to academician Vladimir Igorevich Arnold on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2007
\vol 258
\pages 107--153
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm480}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2400527}
\zmath{https://zbmath.org/?q=an:1155.81367}
\elib{https://elibrary.ru/item.asp?id=9549686}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2007
\vol 258
\pages 100--146
\crossref{https://doi.org/10.1134/S0081543807030108}
\elib{https://elibrary.ru/item.asp?id=31387676}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-35148848385}
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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