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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.DS2023
Exotic local limit theorems at the phase transition in free products
Matthieu Dussaule, Marc Peigné, Samuel Tapie
We construct random walks on free products of the form Z 3 * Z d , with d = 5 or 6 which are divergent and not spectrally positive recurrent. We then derive a local limit theorem f…
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…