1 citations · 2 across the 4 of their papers we have counts for
8 papers
Functional Limits and Separation Times for Two Interacting Elephant Random Walks
Rafik Aguech, Shuhei Shibata, Tomoyuki Shirai
We establish functional scaling limits and study first separation times for the interacting two elephant model studied by Aguech and Qin. In the joint diffusive regime, we give a d…
How two elephants can learn from each other
Rafik Aguech, Shuo Qin
We consider a two-elephant walking model in which the elephants interact dynamically. At each time step, each elephant determines its next move randomly based on its partner's past…
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-reinforced…
Height of walks with resets, the Moran model, and the discrete Gumbel distribution
Rafik Aguech, Asma Althagafi, Cyril Banderier
In this article, we consider several models of random walks in one or several dimensions, additionally allowing, at any unit of time, a reset (or "catastrophe") of the walk with pr…
Unbalanced multi-drawing urn with random addition matrix II
Rafik Aguech, Wissem Jedidi, Olfa Selmi
An extended Polya urn Model with two colors, black and white, is studied with some SLLN and CLT on the proportion of white balls.
Unbalanced urn model with random addition
Rafik Aguech, Nabil Lasmar, Olfa Selmi
In this paper, we consider a multi-drawing urn model with random addition. At each discrete time step, we draw a sample of m balls. According to the composition of the drawn colors…
On weighted depths in random binary search trees
Rafik Aguech, Anis Amri, Henning Sulzbach
Following the model introduced by Aguech, Lasmar and Mahmoud [Probab. Engrg. Inform. Sci. 21 (2007) 133-141], the weighted depth of a node in a labelled rooted tree is the sum of a…
Complete monotonicity and bernstein properties of functions are characterized by their restriction on N
Rafik Aguech, Wissem Jedidi
We give several new characterizations of completely monotone functions and Bernstein functions via two approaches: the first one is driven algebraically via elementary preserving m…