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- W4254328755 abstract "In this paper, N particles e l , · ··, e N occupying positions in finite state spaces S 1 , · ··, S N , respectively, are considered along with an element of a finite space S N+ 1 of hierarchies which describe the organization of the particles into pairs, pairs of pairs, etc. A stochastic process { X t : t 0} on a probability measure space (Ω, , P ) is a hierarchic process if it is a right-continuous Markov jump process taking on values in the state space S j and having the property that the ( N + 1)th component of X t can jump from a hierarchy to a successor or antecedent of that hierarchy. Asymptotic distributions of perturbed hierarchic processes, bilateral processes, and unilateral processes are determined in terms of an interaction function and the asymptotic distributions of the particles in the absence of any interaction." @default.
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- W4254328755 date "1973-03-01" @default.
- W4254328755 modified "2023-09-23" @default.
- W4254328755 title "Stochastic formation of hierarchies" @default.
- W4254328755 cites W2021071073 @default.
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- W4254328755 doi "https://doi.org/10.1017/s0021900200042066" @default.
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