
In this article, we describe a simple class of models of absorbed diffusion processes with parameter, whose conditional law exhibits a transcritical bifurcation. Our proofs are based on the description of the set of quasi-stationary distributions for general two-clusters reducible processes.
[MATH.MATH-PR] Mathematics [math]/Probability [math.PR], Probability (math.PR), FOS: Mathematics, Mathematics - Probability
[MATH.MATH-PR] Mathematics [math]/Probability [math.PR], Probability (math.PR), FOS: Mathematics, Mathematics - Probability
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