Titlebook: Quasi-Stationary Distributions; Markov Chains, Diffu Pierre Collet,Servet Martínez,Jaime San Martín Book 2013 Springer-Verlag Berlin Heidel

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Pierre Collet,Servet Martínez,Jaime San Martíndivision of labour. Economic integration — the division of labour beyond the borders of individual states and the consequent extension of foreign trade — is essential if the technical and economic parameters of production in a broad range of industries are to be improved: an increase in the internat

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ns to be established by an . system of balances — in precise form for the most significant goods and in a general fashion for aggregate flows. Each detailed balance exhibits availabilities and major requirements. This long-established planning practice can be described in the well-known equation, th

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Introduction,process is said to be killed when it hits the trap and it is assumed that this happens almost surely. We investigate the behavior of the process before being killed, more precisely we study what happens when one conditions the process to survive for a long time.

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Quasi-Stationary Distributions: General Results, distributions (QSDs). In Theorem?2.2 of Sect.?., we show that starting from a QSD the killing time is exponentially distributed, and in Theorem?2.6 of Sect.?., we show that the killing time and the state of killing are independent random variables. In Theorem?2.11 of Sect.?., we give a theorem of e

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Markov Chains on Finite Spaces,the normalized left Perron–Frobenius eigenvector of the jump rates matrix restricted to the allowed states. The right eigenvector is shown to be the asymptotic ratio of survival probabilities. In Sect.?., it is proved that the trajectories that survive forever form a Markov chain which is an .-proce

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