자료유형  

 학위논문

Control Number  

0016932835

International Standard Book Number  

9798379847494

Dewey Decimal Classification Number  

600

Main Entry-Personal Name  

Xie, Yongjia.

Publication, Distribution, etc. (Imprint  

[S.l.] : Purdue University., 2022

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2022

Physical Description  

1 online resource(111 p.)

General Note  

Source: Dissertations Abstracts International, Volume: 85-01, Section: A.

General Note  

Advisor: Peterson, Jonathon.

Dissertation Note  

Thesis (Ph.D.)--Purdue University, 2022.

Restrictions on Access Note  

This item must not be sold to any third party vendors.

Summary, Etc.  

요약This dissertation includes my research works during Ph.D. career about three different kinds of random walks in (dynamical) random environments. It includes my two published papers "Functional weak limit of random walks in cooling random environments" [1] which has been published in electronic communications in probability in 2020, and "Variable speed symmetric random walk driven by the simple symmetric exclusion process" [2] which is the joint work with Peterson and Menezes and has been published in electronic journals of probability in 2021. This dissertation also includes my two other projects, one is the joint work with Janjigian and Emrah about moderate deviation and exit time estimates in integrable directed polymer models. The other one is the joint work with Peterson and Conrado that extends the weak limit of random walks in cooling randon environments with underlying environment is in the transient case with parameter κ ∈ (0, 1) or κ = 2. Previous results show the weak limit in the cases where the environment is recurrent or transient but with κ 2 or κ ∈ (1, 2).

Subject Added Entry-Topical Term  

Polymers.

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Behavior.

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Growth models.

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Normal distribution.

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Spacetime.

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Probability.

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Energy.

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Codes.

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Probability distribution.

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Central limit theorem.

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Markov analysis.

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Polymer chemistry.

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Statistics.

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Theoretical physics.

Added Entry-Corporate Name  

Purdue University.

Host Item Entry  

Dissertations Abstracts International. 85-01A.

Host Item Entry  

Dissertation Abstract International

Electronic Location and Access  

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Control Number  

joongbu:643617