Asymptotics of rare events in birth–death processes bypassing the exact solutions
dc.contributor.author | Doering, Charles R. | en_US |
dc.contributor.author | Sargsyan, Khachik V. | en_US |
dc.contributor.author | Sander, Leonard M. | en_US |
dc.contributor.author | Vanden-Eijnden, Eric | en_US |
dc.date.accessioned | 2008-04-02T14:39:46Z | |
dc.date.available | 2008-04-02T14:39:46Z | |
dc.date.issued | 2007-02-14 | en_US |
dc.identifier.citation | Doering, Charles R; Sargsyan, Khachik V; Sander, Leonard M; Vanden-Eijnden, Eric (2007). "Asymptotics of rare events in birth–death processes bypassing the exact solutions." Journal of Physics: Condensed Matter. 19(6): 065145 (12pp). <http://hdl.handle.net/2027.42/58127> | en_US |
dc.identifier.issn | 0953-8984 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/58127 | |
dc.description.abstract | We investigate the near-continuum asymptotics of mean first passage times in some one-variable birth–death processes. The particular problem we address is how to extract mean first passage times in the near-continuum limit from their defining finite-difference equations alone. For the simple class of processes we consider here, exact closed-form solutions for the mean first passage time between any two states are available and the near-continuum expansion of these formulae defines the correct limiting behaviour and is used to check the results of asymptotic analysis of the difference equations. We find that in some cases the asymptotic approach does not lead unequivocally to the proper result. | en_US |
dc.format.extent | 3118 bytes | |
dc.format.extent | 212135 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | IOP Publishing Ltd | en_US |
dc.title | Asymptotics of rare events in birth–death processes bypassing the exact solutions | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics and Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, MI 48109-1043, USA | en_US |
dc.contributor.affiliationum | Department of Mathematics and Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, MI 48109-1043, USA | en_US |
dc.contributor.affiliationum | Department of Physics and Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, MI 48109-1120, USA | en_US |
dc.contributor.affiliationother | Courant Institute, New York University, New York, NY 10012, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/58127/2/cm7_6_065145.pdf | |
dc.identifier.doi | http://dx.doi.org/10.1088/0953-8984/19/6/065145 | en_US |
dc.identifier.source | Journal of Physics: Condensed Matter. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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