A Note on k-Bonacci Random Walks
Open Access
- 24 March 2023
- journal article
- research article
- Published by MDPI AG in Fractal and Fractional
- Vol. 7 (4), 280
- https://doi.org/10.3390/fractalfract7040280
Abstract
In this work, the probability of return for random walks on , 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.
Keywords
Funding Information
- Deanship of Scientific Research, Vice Presidency for Graduate Studies and Scientific Research at King Faisal University, Saudi Arabia (GRANT3121)
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