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Limit shapes of Gibbs distributions on the set of integer partitions: The expansive case,
 Ann. Inst. H. Poincar Probab. Statist.
, 2008
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On time dynamics of coagulationfragmentation processes
, 2008
"... 1 transient 2 We establish a characterization of coagulationfragmentation processes, such that the induced birth and death processes depicting the total number of groups at time t ≥ 0 are time homogeneous. Based on this, we provide a characterization of meanfield Gibbs coagulationfragmentation mod ..."
Abstract

Cited by 2 (1 self)
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1 transient 2 We establish a characterization of coagulationfragmentation processes, such that the induced birth and death processes depicting the total number of groups at time t ≥ 0 are time homogeneous. Based on this, we provide a characterization of meanfield Gibbs coagulationfragmentation models, which extends the one derived by Hendriks et al. As a by product of our results, the class of solvable models is widened and a question posed by N. Berestycki and Pitman is answered, under restriction to meanfield models. transient 3 1 Introduction, objective and the context The time dynamics of a time homogeneous Markov process X(t), t ≥ 0 on a space Ω = {η} of states η is described by the set of transition probabilities p ˜ ζ (η; t): = P(X(t) = η X(0) = ˜ ζ), ˜ ζ, η ∈ Ω, t ≥ 0.