Marked continuous-time Markov chain modelling of burst behaviour for single ion channels.
Ball, Frank G., Milne, Robin K., Yeo, Geoffrey F. (2007)
Journal of Applied Mathematics and Decision Sciences
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Ball, Frank G., Milne, Robin K., Yeo, Geoffrey F. (2007)
Journal of Applied Mathematics and Decision Sciences
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Volker Abel (1983)
RAIRO - Operations Research - Recherche Opérationnelle
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Takacs, Christiane (2006)
Mathematica Pannonica
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Hunter, Jeffrey J. (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Giandomenico Mastroeni (2002)
RAIRO - Operations Research - Recherche Opérationnelle
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We consider a stochastic approach in order to define an equilibrium model for a traffic-network problem. In particular, we assume a markovian behaviour of the users in their movements throughout the zones of the traffic area. This assumption turns out to be effective at least in the context of urban traffic, where, in general, the users tend to travel by choosing the path they find more convenient and not necessarily depending on the already travelled part. The developed model is a homogeneous...
Gary J. Koehler (1980)
RAIRO - Operations Research - Recherche Opérationnelle
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Franco Giannessi (2002)
RAIRO - Operations Research - Recherche Opérationnelle
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A problem (arisen from applications to networks) is posed about the principal minors of the matrix of transition probabilities of a Markov chain.
Alexei Borodin (2008)
Annales de l'I.H.P. Probabilités et statistiques
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We show that any loop-free Markov chain on a discrete space can be viewed as a determinantal point process. As an application, we prove central limit theorems for the number of particles in a window for renewal processes and Markov renewal processes with Bernoulli noise.
Kalashnikov, Vladimir V. (1994)
Journal of Applied Mathematics and Stochastic Analysis
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Abolnikov, Lev, Dukhovny, Alexander (1991)
Journal of Applied Mathematics and Stochastic Analysis
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