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- W608214296 abstract "We introduce a class of stochastic production tree model, based on Petri nets, which admit a random matrix product description in the Max-plus algebra. With a kind of combinatorial change of variables we are able to simplify the form of the matrices arising from these models. For this class of emph{Componentwise exponential} matrix we prove a new result relating the (Max-plus) spectrum of the product to the principal (classical) eigenvalue of an associated adjacency matrix by means of a sandwich inequality. This theorem highlights several important theoretical factors in the dynamics of Max-plus linear systems generally and gives us some neat insight into the different production tree models." @default.
- W608214296 created "2016-06-24" @default.
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- W608214296 date "2011-08-18" @default.
- W608214296 modified "2023-09-27" @default.
- W608214296 title "Stochastic production trees as products of i.i.d. componentwise exponential max-plus matrices" @default.
- W608214296 hasPublicationYear "2011" @default.
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