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020 ▼a 9780438342590
035 ▼a (MiAaPQ)AAI10840063
035 ▼a (MiAaPQ)cornellgrad:10937
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 248032
0491 ▼f DP
0820 ▼a 530
1001 ▼a Raju, Archishman.
24510 ▼a Aspects of the Renormalization Group.
260 ▼a [S.l.] : ▼b Cornell University., ▼c 2018
260 1 ▼a Ann Arbor : ▼b ProQuest Dissertations & Theses, ▼c 2018
300 ▼a 171 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
500 ▼a Adviser: James P. Sethna.
5021 ▼a Thesis (Ph.D.)--Cornell University, 2018.
520 ▼a The main part of this thesis is on the renormalization group (RG). We will explore the results of the RG in two ways.
520 ▼a In the first part we use information geometry, in which the local distance between models measures their distinguishability from data, to quantify the flow of information under the renormalization group. We show that information about relevant p
520 ▼a In the second part, we use dynamical systems theory to systematize the results of the RG. The results of the RG are commonly advertised as the existence of power law singularities near critical points. The classic predictions are often violated
520 ▼a The RG is useful not just for systems in physics but has found application in a surprising variety of fields. In dynamical systems, it provided an nice explanation of the universality observed in the period doubling transition. We show the equiv
520 ▼a Finally, the last part of this thesis is on a very different topic. Here, we use an effective Hamiltonian to characterize particle dynamics and find escape rates in a periodically kicked Hamiltonian. We study a model of particles in storage ring
590 ▼a School code: 0058.
650 4 ▼a Statistical physics.
650 4 ▼a Physics.
690 ▼a 0217
690 ▼a 0605
71020 ▼a Cornell University. ▼b Physics.
7730 ▼t Dissertation Abstracts International ▼g 80-01B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0058
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14999707 ▼n KERIS
980 ▼a 201812 ▼f 2019
990 ▼a 관리자 ▼b 관리자