3 papers
math.PR2026
On a class of unbalanced step-reinforced random walks
Rafik Aguech, Samir Ben Hariz, Mohamed El Machkouri +1
A step-reinforced random walk is a discrete-time stochastic process with long-range dependence. At each step, with a fixed probability , the so-called positively step-reinforce…
math.PR2026
Quantitative central limit theorem for an integrated periodogram via the fourth moment theorem
Samir Ben Hariz, Duc-Quang Bui, Youssef Esstafa
We revisit the central limit theorem for integrated periodograms, equivalently for Toeplitz quadratic forms of stationary Gaussian sequences. Under a regular-variation assumption a…
math.SP2026
On the discrete spectrum of a spatial quantum waveguide with a disc window
S. Ben Hariz, M. Ben Salah, H. Najar
In this study we investigate the bound states of the Hamiltonian describing a quantum particle living on three dimensional straight strip of width . We impose the Neumann bounda…