3 papers
math.PR2026
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…
math.PR2025
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 $…
math.PR2024
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…