Published July 14, 2006
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Journal Article
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A model for the bus system in Cuernavaca (Mexico)
Chicago
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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 Krbálek and P Seba 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.
Additional Information
© 2006 IOP Publishing Ltd. Received 19 October 2005, in final form, 17 January 2006; published 27 June 2006 online at stacks.iop.org/JPhysA/39/8965. The authors would like to thank Y Avron for bringing the work of Krbálek and Šeba to their attention. The authors would like to thank P Šeba and E Bachmat for providing useful information. The authors would also like to thank the anonymous referees for pointing out [9, 12] and improving the presentation. The work of the authors was supported in part by NSF grants DMS0457335, DMS0402047, DMS0296084/0500923 and DMS0202530/0553403, respectively.Files
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- Eprint ID
- 3946
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- CaltechAUTHORS:BAIjpa06
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2006-07-20Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field