A model for the bus system in Cuernavaca (Mexico)

Jinho Baik, Alexei Borodin, Percy Deift, Toufic Suidan

Research output: Contribution to journalArticle

Abstract

The bus system in Cuernavaca, Mexico and its connections to random matrix distributions have been the subject of an interesting recent study by M Krblek and P eba in [15, 16]. In this paper we introduce and analyse a microscopic model for the bus system. We show that introducing a natural repulsion does produce random matrix distributions in natural double scaling regimes. The techniques employed include non-intersecting paths, logarithmic potential theory, determinantal point processes, and asymptotic analysis of several orthogonal polynomial ensembles. In addition, we introduce a circular bus model and include various calculations of non-crossing probabilities.

Original languageEnglish (US)
Article numberS11
Pages (from-to)8965-8975
Number of pages11
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number28
DOIs
StatePublished - Jul 14 2006

ASJC Scopus subject areas

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

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