Show simple item record

A model for the bus system in Cuernavaca (Mexico)

dc.contributor.authorBaik, Jinhoen_US
dc.contributor.authorBorodin, Alexeien_US
dc.contributor.authorDeift, Percyen_US
dc.contributor.authorSuidan, Touficen_US
dc.identifier.citationBaik, Jinho; Borodin, Alexei; Deift, Percy; Suidan, Toufic (2006). "A model for the bus system in Cuernavaca (Mexico)." Journal of Physics A: Mathematical and General. 39(28): 8965-8975. <>en_US
dc.description.abstractThe 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 Šeba 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.en_US
dc.format.extent3118 bytes
dc.format.extent171054 bytes
dc.publisherIOP Publishing Ltden_US
dc.titleA model for the bus system in Cuernavaca (Mexico)en_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, MI, USAen_US
dc.contributor.affiliationotherDepartment of Mathematics, California Institute of Technology, Pasadena, CA, USAen_US
dc.contributor.affiliationotherCourant Institute of Mathematical Sciences, New York University, New York City, NY, USAen_US
dc.contributor.affiliationotherDepartment of Mathematics, University of California, Santa Cruz, CA, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.identifier.sourceJournal of Physics A: Mathematical and General.en_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed

Files in this item

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.


If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.