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Conformally invariant random planar ...

Benoist, Stephane.

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Conformally invariant random planar objects.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Conformally invariant random planar objects./
作者:	Benoist, Stephane.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2016,
面頁冊數:	170 p.
附註:	Source: Dissertation Abstracts International, Volume: 77-09(E), Section: B.
Contained By:	Dissertation Abstracts International77-09B(E).
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10100779
ISBN:	9781339646657

Conformally invariant random planar objects.
Benoist, Stephane.

Conformally invariant random planar objects. - Ann Arbor : ProQuest Dissertations & Theses, 2016 - 170 p.

Source: Dissertation Abstracts International, Volume: 77-09(E), Section: B.

Thesis (Ph.D.)--Columbia University, 2016.

This thesis explores different aspects of a surprising field of research: the conformally invariant scaling limits of planar statistical mechanics models.

ISBN: 9781339646657Subjects--Topical Terms:

515831
Mathematics.

Conformally invariant random planar objects.
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520 $a The aspects developed here include the proof of convergence of certain interfaces in the critical Ising magnetization model (joint work with Hugo Duminil-Copin and Clement Hongler), a study of the near-critical behavior of the uniform spanning tree in the scaling limit (joint work with Laure Dumaz and Wendelin Werner), the construction of an interesting measure on continuous loops satisfying a certain stability property under deformation (joint work with Julien Dubedat) as well as some related algebraic considerations, and finally, notes on a paper of Sheffield, that studies a certain coupling of the scaling limits of discrete interfaces --- SLE curves --- together with random surfaces obtained from the Gaussian free field.
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