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Conformally invariant random planar ...

Columbia University.

Conformally invariant random planar objects.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Conformally invariant random planar objects./
作者:	Benoist, Stephane.
面頁冊數:	1 online resource (170 pages)
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:	click for full text (PQDT)
ISBN:	9781339646657

Conformally invariant random planar objects.
Benoist, Stephane.

Conformally invariant random planar objects. - 1 online resource (170 pages)

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

Thesis (Ph.D.)

Includes bibliographical references

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

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781339646657Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Conformally invariant random planar objects.
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006 m o u
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008 190606s2016 xx obm 000 0 eng d
020 $a 9781339646657
035 $a (MiAaPQ)AAI10100779
035 $a (MiAaPQ)columbia:13266
035 $a AAI10100779
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Benoist, Stephane. $3 1180454
245 1 0 $a Conformally invariant random planar objects.
264 0 $c 2016
300 $a 1 online resource (170 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 77-09(E), Section: B.
500 $a Adviser: Julien Dubedat.
502 $a Thesis (Ph.D.) $c Columbia University $d 2016.
504 $a Includes bibliographical references
520 $a This thesis explores different aspects of a surprising field of research: the conformally invariant scaling limits of planar statistical mechanics models.
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.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
650 4 $a Theoretical mathematics. $3 1180455
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
690 $a 0642
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Columbia University. $b Mathematics. $3 1179054
773 0 $t Dissertation Abstracts International $g 77-09B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10100779 $z click for full text (PQDT)

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