6 papers
A local limit theorem for nonlattice multidimensional random walks in cones
Thi da Cam Pham, Marc Peigné, Doan Thai Son
We study the asymptotic behavior of a nonlattice random walk in a general cone of . Following the approach initiated by D. Denisov and V. Wachtel in [8], we use a strong appr…
A local limit theorem for lattice oscillating random walks
M. Peigné, C. Pham, T. D. Vo
In this paper, we obtain a local limit theorem for the Kemperman's model of oscillating random walk on ; it extends the existing results for classical random walks on $…
Recurrence of multidimensional affine recursions in the critical case
Richard Aoun, Sara Brofferio, Marc Peigné
We prove, under different natural hypotheses, that the random multidimensional affine recursion , is recurrent in the critical case. In…
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…
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…
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…