Vicious walkers and hook Young tableaux

Kazuhiro Hikami, Takashi Imamura

研究成果: ジャーナルへの寄稿記事

5 引用 (Scopus)

抄録

We consider a generalization of the vicious walker model. Using a bijection map between the path configuration of the non-intersecting random walkers and the hook Young diagram, we compute the probability concerning the number of movements of the walker. Applying the saddle point method, we reveal that the scaling limit gives the Tracy-Widom distribution, which is the same with the limit distribution of the largest eigenvalues of the Gaussian unitary ensemble.

元の言語英語
ページ(範囲)3033-3048
ページ数16
ジャーナルJournal of Physics A: Mathematical and General
36
発行部数12 SPEC. ISS.
DOI
出版物ステータス出版済み - 3 28 2003

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Tracy-Widom Distribution
Saddle Point Method
Young Tableaux
Young Diagram
hooks
Hooks
Scaling Limit
Largest Eigenvalue
Limit Distribution
Bijection
Ensemble
Path
Configuration
saddle points
eigenvalues
diagrams
scaling
configurations
Model
Movement

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

これを引用

Vicious walkers and hook Young tableaux. / Hikami, Kazuhiro; Imamura, Takashi.

:: Journal of Physics A: Mathematical and General, 巻 36, 番号 12 SPEC. ISS., 28.03.2003, p. 3033-3048.

研究成果: ジャーナルへの寄稿記事

Hikami, Kazuhiro ; Imamura, Takashi. / Vicious walkers and hook Young tableaux. :: Journal of Physics A: Mathematical and General. 2003 ; 巻 36, 番号 12 SPEC. ISS. pp. 3033-3048.
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