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math.PR2023
A functional limit theorem for lattice oscillating random walk
Marc Peigné, Tran Duy Vo
The paper is devoted to an invariance principle for Kemperman's model of oscillating random walk on . This result appears as an extension of the invariance principal th…
math.PR2023
The survival probability of a weakly subcritical multitype branching process in iid random environment
M Peigné, C Pham
We study the asymptotic behavior of the probability of non extinction of a weakly subcritical multitype branching process in iid random environments. Under suitable assumptions, th…