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Renormalization Group in Dynamical P...

ProQuest Information and Learning Co.

Renormalization Group in Dynamical Processes on Hierarchical Networks.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Renormalization Group in Dynamical Processes on Hierarchical Networks./
作者:	Li, Shanshan.
面頁冊數:	1 online resource (108 pages)
附註:	Source: Dissertation Abstracts International, Volume: 78-11(E), Section: B.
標題:	Physics. -
電子資源:	click for full text (PQDT)
ISBN:	9781369904482

Renormalization Group in Dynamical Processes on Hierarchical Networks.
Li, Shanshan.

Renormalization Group in Dynamical Processes on Hierarchical Networks. - 1 online resource (108 pages)

Source: Dissertation Abstracts International, Volume: 78-11(E), Section: B.

Thesis (Ph.D.)--Emory University, 2017.

Includes bibliographical references

Hierarchical structures have been found in actual complex systems. Certain hierarchical networks, with a self-similar structure, exhibit novel properties in a broader spectrum of dynamics such as synchronization, quantum walks and the epidemic process, which we explore in this thesis by applying analytical and numerical methods. We study the structural and spectral properties of large scale networks, as well as various phenomena on them with the Renormalization Group (RG) approach. In particular, by applying RG, we explore the Laplacian spectrum, which is related to asymptotic structural features of networks, ranging from the number of spanning trees to synchronizability. The spectralanalysis also reveals a deep connection between dynamics and the underlying structure in processes that include quantum walks and the unusual Griffiths phase on hierarchical networks considered in this thesis. This thesis highlights effects of spectral properties on dynamical processes on networks, and indicates the applicability of RG to various contexts.

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

Mode of access: World Wide Web

ISBN: 9781369904482Subjects--Topical Terms:

564049
Physics.
Index Terms--Genre/Form:

554714
Electronic books.

Renormalization Group in Dynamical Processes on Hierarchical Networks.
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245 1 0 $a Renormalization Group in Dynamical Processes on Hierarchical Networks.
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300 $a 1 online resource (108 pages)
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500 $a Source: Dissertation Abstracts International, Volume: 78-11(E), Section: B.
500 $a Adviser: Stefan Boettcher.
502 $a Thesis (Ph.D.)--Emory University, 2017.
504 $a Includes bibliographical references
520 $a Hierarchical structures have been found in actual complex systems. Certain hierarchical networks, with a self-similar structure, exhibit novel properties in a broader spectrum of dynamics such as synchronization, quantum walks and the epidemic process, which we explore in this thesis by applying analytical and numerical methods. We study the structural and spectral properties of large scale networks, as well as various phenomena on them with the Renormalization Group (RG) approach. In particular, by applying RG, we explore the Laplacian spectrum, which is related to asymptotic structural features of networks, ranging from the number of spanning trees to synchronizability. The spectralanalysis also reveals a deep connection between dynamics and the underlying structure in processes that include quantum walks and the unusual Griffiths phase on hierarchical networks considered in this thesis. This thesis highlights effects of spectral properties on dynamical processes on networks, and indicates the applicability of RG to various contexts.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Physics. $3 564049
650 4 $a Quantum physics. $3 1179090
650 4 $a Applied mathematics. $3 1069907
655 7 $a Electronic books. $2 local $3 554714
690 $a 0605
690 $a 0599
690 $a 0364
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Emory University. $b Physics. $3 1188079
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10612290 $z click for full text (PQDT)

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