Markov processes of infinitely many nonintersecting random walks
Markov processes of infinitely many nonintersecting random walks
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Author / Creator
Publisher
Berlin/Heidelberg: Springer-Verlag
Journal title
Language
English
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Publisher
Berlin/Heidelberg: Springer-Verlag
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Scope and Contents
Contents
Consider an
N
-dimensional Markov chain obtained from
N
one-dimensional random walks by Doob
h
-transform with the
q
-Vandermonde determinant. We prove that as
N
becomes large, these Markov chains converge to an infinite-dimensional Feller Markov process. The dynamical correlation functions of the limit process are det...
Alternative Titles
Full title
Markov processes of infinitely many nonintersecting random walks
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Author / Creator
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Record Identifier
TN_cdi_proquest_miscellaneous_1671370423
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_miscellaneous_1671370423
Other Identifiers
ISSN
0178-8051
E-ISSN
1432-2064
DOI
10.1007/s00440-012-0417-4