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Fractal Fract, Vol. 7, Pages 280: A Note on k-Bonacci Random Walks
Fractal and Fractional doi: 10.3390/fractalfract7040280
Authors: Najmeddine Attia Neji Saidi Chouhaïd Souissi Rifaqat Ali
In this work, the probability of return for random walks on Z, whose increment is given by the k-bonacci sequence, is determined. Additionally, the Hausdorff, packing and box-counting dimensions of the set of these walks that return an infinite number of times to the origin are given. As an application, we study the return for tribonacci random walks to the first term of the tribonacci sequence.
