Vicious walks with a wall, noncolliding meanders, and chiral and Bogoliubov-de Gennes random matrices

Makoto Katori, Hideki Tanemura, Taro Nagao, Naoaki Komatsuda

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

The solvability of one-dimensional vicious-walker models, which are generalizations of the model studied in earlier papers is considered. These systems provide in general spatially and temporally inhomogeneous systems. This paper aims to construct many-particle systems in one dimension using such temporally inhomogeneous processes as elementary processes, so that the spatial inhomogeneity is discussed.

Original languageEnglish
Article number021112
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume68
Issue number2 1
Publication statusPublished - 2003 Aug 1
Externally publishedYes

Fingerprint

meanders
Random Matrices
Walk
Many-particle System
Inhomogeneity
One Dimension
Solvability
inhomogeneity
Model
Generalization

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Vicious walks with a wall, noncolliding meanders, and chiral and Bogoliubov-de Gennes random matrices. / Katori, Makoto; Tanemura, Hideki; Nagao, Taro; Komatsuda, Naoaki.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 68, No. 2 1, 021112, 01.08.2003.

Research output: Contribution to journalArticle

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