most citedOn the discrete spectrum of a spatial quantum waveguide with a disc window

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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…