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Sur deux constructions de la gravité quantique de Liouville
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Title  Sur deux constructions de la gravité quantique de Liouville 
Title of Series  Les Probabilités de Demain 
Part Number  7 
Number of Parts  17 
Author 
Huang, Yichao

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CC Attribution 3.0 Unported: You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
DOI  10.5446/20276 
Publisher  Institut des Hautes Études Scientifiques (IHÉS) 
Release Date  2016 
Language  English 
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Subject Area  Mathematics 
Abstract  We will try to briefly review two recent mathematical constructions of some random measures defined on the Riemann sphere. These objects are motivated by a rigorous description of the Liouville Quantum Gravity (here on the sphere). We will try to compare these two constructions and relate several key elements that appear naturally in both approaches. If time permits, we can also discuss the advantage of each approach. Joint work with Juhan Aru and Xin Sun. 
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